Current and Resistance
|
|
- Amberlynn Webb
- 5 years ago
- Views:
Transcription
1 Chapter 17 Current and esistance Quick Quizzes 1. (d. Negative charges moving in one direction are equivalent to positive charges moving in the opposite direction. Thus, Ia, Ib, Ic, and Id are equivalent to the movement of,, 4, and charges respectively, giving I < I < I <. d b c. (b. Under steady-state conditions, the current is the same in all parts of the wire. Thus, the drift velocity, given by vd = I nqa, is inversely proportional to the cross-sectional area.. (c, (d. Neither circuit (a nor circuit (b applies a difference in potential across the bulb. Circuit (a has both lead wires connected to the same battery terminal. Circuit (b has a low resistance path (a short between the two battery terminals as well as between the bulb terminals. 4. (b. The slope of the line tangent to the curve at a point is the reciprocal of the resistance at that point. Note that as increases, the slope (and hence 1 increases. Thus, the resistance decreases. l l. (b. Consider the expression for resistance: = ρ = ρ. Doubling all linear A π r dimensions increases the numerator of this expression by a factor of, but increases the denominator by a factor of 4. Thus, the net result is that the resistance will be reduced to one-half of its original value. 6. (a. The resistance of the shorter wire is half that of the longer wire. The power dissipated, ( P =, (and hence the rate of heating will be greater for the shorter wire. Consideration of the expression P = I I a might initially lead one to think that the reverse would be true. However, one must realize that the currents will not be the same in the two wires. 69
2 7 CHAPTE (b. Ia = Ib > Ic = Id > Ie = I f. Charges constituting the current I a leave the positive terminal of the battery and then split to flow through the two bulbs; thus, Ia = Ic + I e. Because the potential difference is the same across the two bulbs and because the power delivered to a device is P = I, the 6 W bulb with the higher power rating must carry the d ( greater current, meaning that Ic > I e. Because charge does not accumulate in the bulbs, all the charge flowing into a bulb from the left has to flow out on the right; consequently I = I and I = I. The two currents leaving the bulbs recombine to form the current back c e into the battery, I f + I d = Ib. f 8. (a B, (b B. Because the voltage across each resistor is the same, and the rate of energy delivered to a resistor is P = (, the resistor with the lower resistance (that is, B dissipates more power. From Ohm s law, I = V. Since the potential difference is the same for the two resistors, B (having the smaller resistance will carry the greater current.
3 Current and esistance 71 Answers to Even Numbered Conceptual Questions. In the electrostatic case in which charges are stationary, the internal electric field must be zero. A nonzero field would produce a current (by interacting with the free electrons in the conductor, which would violate the condition of static equilibrium. In this chapter we deal with conductors that carry current, a nonelectrostatic situation. The current arises because of a potential difference applied between the ends of the conductor, which produces an internal electric field. 4. The number of cars would correspond to charge Q. The rate of flow of cars past a point would correspond to current. 6. The W bulb has the higher resistance. Because ( V = P, and both operate from 1 V, the bulb dissipating the least power has the higher resistance. The 1 W bulb carries more current, because the current is proportional to the power rating of the bulb. 8. An electrical shock occurs when your body serves as a conductor between two points having a difference in potential. The concept behind the admonition is to avoid simultaneously touching points that are at different potentials. 1. The knob is connected to a variable resistor. As you increase the magnitude of the resistance in the circuit, the current is reduced, and the bulb dims. 1. Superconducting devices are expensive to operate primarily because they must be kept at very low temperatures. As the onset temperature for superconductivity is increased toward room temperature, it becomes easier to accomplish this reduction in temperature. In fact, if room temperature superconductors could be achieved, this requirement would disappear altogether. 14. The amplitude of atomic vibrations increases with temperature, thereby scattering electrons more efficiently.
4 7 CHAPTE 17 Answers to Even Numbered Problems m s electrons s ma m s 1. ma 1. (a 1.8 m (b.8 mm Ω 16. ~ $1 (Assumes a 4 W dryer used for about 1 min/d with electric energy costing about 1 cents/kwh (a.8 1 A (b A C. 9.7 Ω C 4. ( 1 6. (a.6 mv (b 1.1 mv m C. (a $.9 (b $.6 4. (a MW (b.71 or 7.1% 6. (a. 1 J (b 18 min 8. (a 184 W (b 461 C 4. (a. cents (b 71% 4. (a $1.61 (b.8 cents (c 41.6 cents h d
5 Current and esistance d l d = ( Any diameter and length related by m l, such as l= 1. m and d =. mm. Yes. 48. (a 76 Ω, 144 Ω (b 4.8 s, lower potential energy (c.4 s, converted to internal energy and light 8 (d $1.6, energy, $ J. (a J (b 1.9 cents. 89 µ V 4. (a 18 C (b.6 A 7 6. (a Ω (b Ω 8..6 k Ω (nichrome, 4.4 k Ω (carbon 6. No. The fuse should be rated at.87 A or less. 6. (a V I = V I 1. V. 1 A 1. V. 1 A. V.1 1 A. 1 Ω. 1 Ω. 1 Ω +.4 V +.1 A 4 Ω +. V +. A Ω +. V +.4 A 14 Ω +.7 V +.7 A 9.7 Ω +.7 V +.1 A 7. Ω (b The resistance of the diode is very large when the applied potential difference has one polarity and is rather small when the potential difference has the opposite polarity. 64. (a 9. m (b.9 mm 66. (b 1.4 Ω versus Ω for the more precise equation
6 74 CHAPTE 17 Problem Solutions 17.1 The charge that moves past the cross section is Q= I( t, and the number of electrons is ( t Q I n = = e e ( 8. 1 C s ( 1. min( 6. s min = = C The negatively charged electrons move in the direction opposite to the conventional current flow. 1 electrons ur v ur I 17. The drift speed in a conductor of cross-sectional area A and carrying current I is v = I nqa, where n is the number of free charge carriers per unit volume and q is the d charge of each of those charge carriers. In the given conductor, v d = I. C s nqa = = ( 7. 1 m ( C( 4. 1 m.1 1 m s 17. The current is Q I = = t =, giving. Thus, the change that passes is Q ( t 1. V Q= ( t = (.1 A(. s =. C 1. Ω 17.4 Q= I( t and the number of electrons is ( t ( C s( 1. s Q I n = = = = -19 e e C electrons
7 Current and esistance The period of the electron in its orbit is T = π r v, and the current represented by the orbiting electron is Q e v e I = = = t T π r 6 19 ( ( 11 π (.9 1 m.19 1 m s C 1. 1 C s 1. ma = = = 17.6 The mass of a single gold atom is m atom M 197 g mol = = = = N A 6. 1 atoms mol g.7 1 kg The number of atoms deposited, and hence the number of ions moving to the negative electrode, is. 1 kg m n = = = m atom kg 1 Thus, the current in the cell is 1 19 ( ( C Q ne I = = = =.19 A = 19 ma t t (.78 h( 6 s 1 h 17.7 The drift speed of electrons in the line is v d I I = =, or nqa ne d ( π 4 v d ( 41 A = = 8 19 ( 8. 1 m ( C π (. m The time to travel the length of the -km line is then m s L 1 m 1 yr t = = -4 7 = v.4 1 m s.16 1 s d 7 yr
8 76 CHAPTE Assuming that, on average, each aluminum atom contributes one electron, the density of charge carriers is the same as the number of atoms per cubic meter. This is density N = = =, ρ A ρ n mass per atom M N M A or ( 6. 1 mol (.7 g cm ( 1 6 cm 1 m n = = 6. 1 m 6.98 g mol 8 The drift speed of the electrons in the wire is then v d = I. C s nea = = ( 6. 1 m ( C( 4. 1 m m s 17.9 (a The carrier density is determined by the physical characteristics of the wire, not the current in the wire. Hence, n is unaffected. (b The drift velocity of the electrons is vd = I nqa. Thus, the drift velocity is doubled when the current is doubled V I = = =. A = ma 4 Ω ( V = Imax= ( max 8 1 A Thus, if = 4. 1 Ω, ( V max = V and if = Ω, ( V =.16 V max 17.1 The volume of the copper is 1. 1 kg m V = = = m density kg m 7 7 Since, V = A L, this gives A L = m (1
9 Current and esistance 77 (a From ρl =, we find that A 8 ρ Ω m A = L= L=. Ω ( 8 (.4 1 m Inserting this expression for A into equation (1 gives.4 1 m m 8 L = 7, which yields L = 1.8 m L (b From equation (1, 7 π d m A = = 4 L, or ( ( m m d = = πl 7 7 π( 1.8 m m.8 mm = = 17.1 From ρl =, we obtain A π d ρl A = =, or 4 8 ( Ω ( 4 ρ L m. 1 m d = = = = π π(. Ω m.17 mm ( Ω ( ρl ρl m 1 m = = = =.1 Ω A π d 4 π m ( 17.1 (a 1 V = = = Ω I.4 A (b From, ρl =, A ( (.4 1 m A π Ω ρ = = = Ω L. m m
10 78 CHAPTE We assume that your hair dryer will use about 4 W of power for 1 minutes each day of the year. The estimate of the total energy used each year is min 1 hr E= P( t = (.4 kw 1 ( 6 d = 4 kwh d 6 min If your cost for electrical energy is approximately ten cents per kilowatt-hour, the cost of using the hair dryer for a year is on the order of $ cost = E rate = ( 4 kwh.1 = $.4 or ~$1 kwh The resistance is 9.11 V = = =. Ω, so the resistivity of the metal is I 6. A ( πd 4 (. π(. 1 m A Ω ρ = = = = Ω L L 4. m Thus, the metal is seen to be silver. ( m With different orientations of the block, three different values of the ratio LA are possible. These are: L 1 cm 1 1 = = =, A cm 4 cm 8 cm.8 m 1 ( ( L cm 1 1 = = =, A 1 cm 4 cm cm. m ( ( and L 4 cm 1 1 = = = A 1 cm cm. cm. m ( ( (a (b I = = ( L A max 8 min ρ min I = = ( L A min 8 max ρ max ( 6. V(.8 m 8 = =.8 1 A Ω m ( 6. V(. m 7 = = A Ω m
11 Current and esistance The volume of material, = L = ( π r L stretched to decrease its radius, the length increases such that ( π f f = ( π V A, in the wire is constant. Thus, as the wire is r r Lf = L = L = ( 4. L = 16L r f.r The new resistance is then r L r L giving f L L 16L L = = = = = = 6 1. Ω = 6 Ω f f ρ ρ ρ 16 ( 4 ρ 6 ( Af πrf π ( r 4 πr 17. Solving = + α ( 1 T T for the final temperature gives 14 Ω 19 Ω T = T + = + = 4. 1 ( C ( 19 Ω C C - 1 α 17.1 From Ohm s law, V = Iii = I ff, so the current in Antarctica is I f i = Ii = f 1 + α Ii 1 + α ( T T i ( Tf T ( C ( 8. C. C ( = A = 1.98 A 1 1 ( C ( 88. C. C The expression for the temperature variation of resistance, = 1 + α ( TT T = C, gives the temperature coefficient of resistivity of this material as α Then, at T 1. Ω 1. Ω T T = = = ( ( 1. Ω ( 9 C C = C, the resistance will be ( ( C ( ( C with = 1 + α C C = 1. Ω 1 C = 9. 7 Ω
12 8 CHAPTE At 8 C,. V I = = = α ( TT ( Ω 1 + (. 1 C ( 8 C C or I = =.6 1 A 6 ma 17.4 If 41. at T C and 41.4 at T 9. C, then gives the temperature coefficient of resistivity of the material making up this wire as = Ω = = Ω = = 1 + α ( TT α 41.4 Ω 41. Ω T T = = = ( ( 41. Ω ( 9. C C ( C ( Ω ( ρl m 1. m = = =.67 1 A. 1 m 6 Ω (a At =. C, = 1+ α ( T T T gives a resistance of 1 ( (.9 1 ( C ( = Ω +. C. C =.89 1 Ω (b At = 1. C, = 1 + α ( T T T yields 1 ( (.9 1 ( C ( = Ω + 1. C. C =.4 1 Ω 17.6 (a At C, the resistance of this copper wire is = ρ( L A = ρ( L πr potential difference required to produce a current of I =. A is and the L V = I = I ρ = Ω π r 8 (. A( m ( 1. m (. 1 m π or = = 4 V 6. 1 V.6 mv
13 Current and esistance 81 (b At T = C, the potential difference required to maintain the same current in the copper wire is V ( α( I I 1 α T T V 1 T T = = + = + -1 or V (. 6 mv 1 + (.9 1 C ( C C = = 1.1 mv 17.7 (a The resistance at. C is 8 ( Ω ( L m 4. m = ρ = =. Ω A π (. 1 m and the current will be (b At. C, 9. V I = = =. Ω. A ( = 1 + α T T 1 ( ( ( ( =. Ω C. C. C =.1 Ω Thus, the current is 9. V I = = =.1 Ω.9 A 17.8 The resistance of the heating element when at its operating temperature is ( ( 1 V = = = 1.7 Ω P 1 W ρ L 1 α TT A, the cross-sectional area is From = 1+ α( T T = + ( ρ L ( A= 1 + α TT 8 ( 1 1 m( 4. m Ω = Ω 1 ( 1 ( C ( C. C A = m 7
14 8 CHAPTE (a From = ρl A, the initial resistance of the mercury is i 7 ( Ω m( 1. m π ( 1. 1 m 4 ρli i = = = 1. Ω A (b Since the volume of mercury is constant, V = Af Lf = Ai L i gives the final crosssectional area as Af Ai ( Li Lf f f i i =. Thus, the final resistance is given by ρlf ρlf = =. The fractional change in the resistance is then A A L ( f i f ρ Lf Ai Li Lf = = 1= 1= 1 i i ρ Li Ai Li 1.4 = 1= or a.8% increase 17. The resistance at. C is. Ω = = = 17 Ω α ( T T ( C ( C. C 1 Solving = 1 + α ( TT for T gives the temperature of the melting potassium as.8 Ω 17 Ω T = T + =. C + = 6. C 1 α.9 1 ( C ( 17 Ω W I = P. A = 1 V = and 1 V = = = 4. Ω I. A 17. (a The energy used by a 1-W bulb in 4 h is ( ( ( ( E= P t= 1 W 4 h =.1 kw 4 h =.4 kwh and the cost of this energy, at a rate of $.1 per kilowatt-hour is ( ( cost = E rate =.4 kwh $.1 kwh = $.9
15 Current and esistance 8 (b The energy used by the oven in. h is 1 kw E= P t= I( t= (. C s( J C (. h = kwh 1 J s and the cost of this energy, at a rate of $.1 per kilowatt-hour is ( ( cost = E rate = kwh $.1 kwh = $ The maximum power that can be dissipated in the circuit is P ( V I ( ( = = = max max 1 V 1 A W Thus, one can operate at most 18 bulbs rated at 1 W per bulb (a The power loss in the line is ( ( ( 7 P loss = I= 1 A.1 Ω km 16 km =. 1 W = MW (b The total power transmitted is P input ( V I ( ( = = = = V 1 A 7. 1 W 7 MW Thus, the fraction of the total transmitted power represented by the line losses is Ploss MW fraction loss = = =.71 P 7 MW input or 7.1% 17. The energy required to bring the water to the boiling point is ( ( ( ( E= mc T = = The power input by the heating element is P input. kg J kg C 1 C. C J ( V I ( ( = = 1 V. A = 4 W = 4 J s Therefore, the time required is E J 1 min t = = = 67 s = 11. min P 4 J s 6 s input
16 84 CHAPTE 17 E= P t = 9 W 1 h = 9 J s 6 s =. 1 J 17.6 (a ( ( ( ( (b The power consumption of the color set is ( V I ( ( P = = 1 V. A = W Therefore, the time required to consume the energy found in (a is E. 1 J 1 min t = = = s = 18 min P J s 6 s 17.7 The energy input required is ( ( ( ( E= mc T = = 1. kg J kg C. C 1. C.1 1 J and, if this is to be added in t = 1. min = 6 s, the power input needed is E.1 1 J P = = = 419 W t 6 s The power input to the heater may be expressed as resistance is ( P =, so the needed ( ( 1 V = = = 4.4 Ω P 419 W 17.8 (a At the operating temperature, ( V I ( ( P = = 1 V 1. A = 184 W 1 T T, the temperature T is given by T = T +. The α resistances are given by Ohm s law as (b From = + α ( ( 1 V = =, and I 1. A ( = = I 1 V 1.8 A Therefore, the operating temperature is ( 1 1. ( ( 1 ( C 1 ( T =.C +.4 = 461C
17 Current and esistance The resistance per unit length of the cable is P I P L = = = = Ω L L I. W m. 1 m ( A From = ρl A, the resistance per unit length is also given by L= ρ A. Hence, the ρ cross-sectional area is π r = A=, and the required radius is L 8 ρ Ω m r = = =.16 m = 1.6 cm π - ( L π (. 1 Ω m 17.4 (a The power input to the motor is P input ( V I ( ( = = 1 V 1.7 A = 1 W =.1 kw At a rate of $.6/kWh, the cost of operating this motor for 4. h is ( ( P input cost = Energy used rate = t rate (b The efficiency is ( ( ( =.1 kw 4. h 6. cents kwh =. cents (. hp(.746 kw hp Poutput Eff = = =.71 or 71% P.1 kw input
18 86 CHAPTE The total power converted by the clocks is ( ( P= = 6 8. W W and the energy used in one hour is ( ( 8 1 E= P t= W 6 s =.4 1 J The energy input required from the coal is E coal 1 E.4 1 J = = = efficiency. 1 J The required mass of coal is thus E coal J. 6 1 J kg m = = heat of combustion =.9 1 kg or 1 metric ton m = (.9 1 kg 9 me = tric tons 1 kg E= P t = 4. W 14. d 4. h d = Wh = 1.4 kwh 17.4 (a ( ( ( 4 ( ( ( cost = E rate = 1.4 kwh $.1 kwh = $1.61 E= P t =.97 kw. min 1 h 6 min = kwh (b ( ( ( ( cost = E rate - ( ( = kwh $.1 kwh = $. 8 =.8 cents (c E P t ( ( ( = =. kw 4. min 1 h 6 min =.47 kwh ( ( ( cost = E rate =.47 kwh $.1 kwh = $.416 = 41.6 cents 17.4 E= P t= (.18 kw( 1 h and cost= E rate= ( P t( $.7 kwh so ( ( ( cost =.18 kw 1 h $.7 kwh = $.6 = 6 cents
19 Current and esistance The energy used was cost $ E = = = rate $.8 kwh. 1 kwh E. 1 kwh The total time the furnace operated was t = = = 14 h, and since P 4. kw January has 1 days, the average time per day was 14 h average daily operation = = 1. d.6 h d 17.4 The energy saved is ( Phigh Plow t ( ( E= = = = and the monetary savings is 4 W 11 W 1 h.9 1 Wh.9 kwh ( ( savings = E rate =.9 kwh $.8 kwh = $. = cents The power required to warm the water to 1 C in 4. min is ( T (. kg( J kg C( 1 C C t ( 4. min( 6 s 1 min Q mc P = = = = t The required resistance (at 1 C of the heating element is then ( ( 1 V = = = 41 Ω P. 1 W so the resistance at C would be 41 Ω = = = 4 Ω C 1 C C ( T T α - 1 ( (. 1 W We find the needed dimensions of a Nichrome wire for this heating element from ( A d = ρl = ρl π 4, where l is the length of the wire and d is its diameter. This 4ρ l gives 4 Ω= π d or d ρ 1 1 Ω m = = = ( m π( 1 Ω l π( 1 Ω l l 8 8
20 88 CHAPTE 17 Thus, ( 8 any combination of length and diameter satisfying the relation d m be suitable. A typical combination might be = l will l= 1. m and d = = = m. 1 m. mm Yes, such heating elements could easily be made from less than. cm of Nichrome. The volume of material required for the typical wire given above is 6 1 cm ( π l π( 4 ( ( 7 V = Al= d =. 1 m 1. m = 1. 1 m =.1 cm 1 m The energy that must be added to the water is J 1 kwh E= mc( T = ( kg ( 8 C 1 C 1 kwh 6 = kg C.6 1 J and the cost is cos t E rate ( ( = = 1 kwh $.8 kwh = $ (a From ( P =, the resistance of each bulb is dim bright ( ( 1 V = = = P. W dim ( ( 1 V = = = P 1 W bright 76 Ω and 144 Ω (b The current in the dim bulb is Pdim. W I = = =.8 A 1 V so the time for 1. C to pass through the bulb is Q 1. C t = = = I.8 A 4.8 s When the charge emerges from the bulb, it has lower potential energy
21 Current and esistance 89 (c The time for the dim bulb to dissipate 1. J of energy is E 1. J t = = = P. W dim.4 s Electrical potential energy is transformed into internal energy and light (d In. days, the energy used by the dim bulb is ( ( ( 4 E= P t=. W. d 4. h d = Wh = 18. kwh dim and the cost is cos t E rate ( ( = = 18. kwh $.7 kwh = $1.6 The electric company sells energy, and the unit cost is $.7 1 kwh unit cost = 6 kwh =.6 1 J 8 $ Joule From ( P =, the total resistance needed is ( ( V = = = 8. Ω P 48 W Thus, from = ρl A, the length of wire required is A L = = ρ ( 8. Ω ( m 8. 1 m Ω m 1.1 km = = 17. (a The power required by the iron is ( V I ( ( = = = 1 V 6. A 7. 1 W and the energy transformed in minutes is J 6 s E= t= ( = s 1 min 7. 1 min J
22 9 CHAPTE 17 (b The cost of operating the iron for minutes is cost = E rate 1 kwh = ( J 6 ( $.8 kwh = $.19 = 1.9 cents.6 1 J 17.1 Ohm s law gives the resistance as ( V I ( A L =. From = ρl A, the resistivity is given by ρ =. The results of these calculations for each of the three wires are summarized in the table below. L ( m ( Ω ρ ( Ω m The average value found for the resistivity is ρ Σ ρ i 6 av = = Ω m which differs from the value of by.%. 8 ρ = 1 1 Ω m = Ω m given in Table The resistance of the 4. cm length of wire between the feet is 8 ( Ω ( π (.11 m ρl m.4 m = = = A 6 Ω, so the potential difference is ( ( V = I = Ω = = µ 6 A V 89 V
23 Current and esistance (a The total power you now use while cooking breakfast is P = ( 1 + W = 1.7 kw The cost to use this power for. h each day for. days is h cost = P ( t rate = ( 1.7 kw. (. days ( $.1 kwh = $.6 day (b If you upgraded, the new power requirement would be: P = ( 4 + W= 9 W and the required current would be 9 W I = P 6.4 A A = 11 V = > No, your present circuit breaker cannot handle the upgrade (a The charge passing through the conductor in the interval t. s is represented by the area under the I vs t graph given in Figure P17.4. This area consists of two rectangles and two triangles. Thus, Q= A + A + A + A rectangle 1 rectangle triangle 1 triangle Current (A 6 (. s (. A ( 4. s. s( 6. A. A = (. s. s( 6. A. A (. s 4. s( 6. A. A 1 4 Time(s Q = 18 C (b The constant current that would pass the same charge in. s is Q 18 C I = = = t. s.6 A
24 9 CHAPTE (a From = ( I, the current is P I = = = 1. V (b The time before the stored energy is depleted is 8. 1 W 667 A E storage 7. 1 J t = = = P 8. 1 J s. 1 s Thus, the distance traveled is ( ( d= v t= = = 4. m s. 1 s. 1 m. km 17.6 The volume of aluminum available is 11 1 kg mass V = = = m density.7 1 kg m (a For a cylinder whose height equals the diameter, the volume is π d π d V = d= 4 4 and the diameter is ( 1 1 4V m d = = =.7 8 m π π The resistance between ends is then ρl A (b For a cube, V ρd ( π d 4 4 ρ 8 ( Ω π(.7 8 m m = = = = = Ω π d = L, so the length of an edge is 1 ( V ( 4. 1 L= = 6 1 m =.4 9 m The resistance between opposite faces is Ω m ρl ρl ρ = = = = = Ω A L L.4 9 m
25 Current and esistance The current in the wire is 1. V I = = = 1 A.1 Ω Then, from vd d = I nqa, the density of free electrons is I n = = ve r ( π 1 A (.17 1 m s( C π (. 1 m 4 19 or 8 n =.77 1 m 17.8 At temperature T, the resistance of the carbon wire is c = c 1 + αc( T T of the nichrome wire is = + ( T T end, the total resistance is n n 1 αn ( ( α α ( = + = T c n c n c c n n, and that. When the wires are connected end to If this is to have a constant value of 1. kω as the temperature changes, it is necessary that T and + = 1. kω c n cαc + nα n = (1 ( From equation (1, = 1. kω c n, and substituting into equation ( gives ( Ω ( ( k n. 1 C + n.4 1 C = Solving this equation gives n =.6 k Ω nichro ( me wire ( Then, = 1. kω.6 kω= 4.4 k Ω carbon wire c 17.9 (a From = (, the resistance is ( ( 1 V = = = 1 W 144 Ω (b Solving ρl = for the length gives A ( ( A 144 Ω.1 mm 1 m L = = = ρ.6 1 m 1 mm -8 6 Ω 6 m
26 94 CHAPTE 17 (c The filament is tightly coiled to fit the required length into a small space (d From L = L 1 + α ( TT, where 6 α 4. 1 ( C 1 =, the length at T = C is L = L 1 = 6 m C = α ( T T 6 ( ( C 1 ( 6 C m 17.6 Each speaker has a resistance of = 4. Ω and can handle 6. W of power. From P = I, the maximum safe current is I max = = 6. W 4. Ω =.87 A Thus, the system is not adequately protected by a 4. A fuse The cross-sectional area of the conducting material is A= π ( router rinner Thus, (. 1 Ω m( 4. 1 m ( 1. 1 m (. 1 m ρl 7 = = =.7 1 Ω= 7 MΩ A π 17.6 (a V I = V I 1. V. 1 A 1. V. 1 A. V.1 1 A. 1 Ω. 1 Ω. 1 Ω +.4 V +.1 A 4 Ω +. V +. A Ω +. V +.4 A 14 Ω +.7 V +.7 A 9.7 Ω +.7 V +.1 A 7. Ω (b The resistance of the diode is very large when the applied potential difference has one polarity and is rather small when the potential difference has the opposite polarity.
27 Current and esistance The power the beam delivers to the target is 6 ( V I ( ( P = = 4. 1 V 1 A = 1. 1 W The mass of cooling water that must flow through the tube each second if the rise in the water temperature is not to exceed C is found from P = ( m t c( T as 1. 1 J s m = = = t c T ( ( J kg C( C.48 kg s The volume of the material is mass. g 1 m V = = m density 6 = 7.86 g cm 1 cm 6 Since V = A L, the cross-sectional area of the wire is A = VL (a From ρl ρl ρl = = =, the length of the wire is given by A VL V ( 1. Ω ( m V L = = = ρ Ω m 9. m (b The cross-sectional area of the wire is π d V A = =. Thus, the diameter is 4 L 6 ( 4V m d = = = = π L π( 9. m m.9 mm 17.6 (a The cross-sectional area of the copper in the hollow tube is ( ( ( ( A = circumference thickness = = Thus, the resistance of this tube is ρl A ( Ω m(.4 m = = =.6 1 Ω m 4.8 m. 1 m m
28 96 CHAPTE 17 (b The mass may be written as m= ( density Volume= ( density A L From = ρl A, the cross-sectional area is A = ρl, so the expression for the mass becomes 8 ( 1 Ω m( ρ L m m= ( density = ( 8 9 kg m = 76 kg 4. Ω (a At temperature T, the resistance is ρl A =, where ρ = ρ 1 + α( TT, 1 α (, and A= A ( 1+ α TT A 1 α ( T T L= L + TT Thus, ( + α ( + α ( T T + ( T T α ( 1+ α ( TT ρ 1 α 1 T T 1+ α 1+ L T T = = T T + A 1 (b ρ L = = 8 ( Ω ( - π ( m. m = 1.8 Ω A Then = 1 + α TT ( gives ( ( ( = 1.8 Ω 1 C 8. C = 1.4 Ω The more complex formula gives 6 ( 1.4 Ω 1 + ( 17 1 C( 8. C ( 17 1 C( 8. C = = Ω Note: Some rules for handing significant figures have been deliberately violated in this solution in order to illustrate the very small difference in the results obtained with these two expressions.
29 Current and esistance Note that all potential differences in this solution have a value of V = 1 V. First, we shall do a symbolic solution for many parts of the problem, and then enter the specified numeric values for the cases of interest. From the marked specifications on the cleaner, its internal resistance (assumed constant is ( where P 1 i = = W P 1 Equation (1 If each of the two conductors in the extension cord has resistance c, the total resistance in the path of the current (outside of the power source is = + t i c so the current which will exist is is Equation ( I = V t and the power that is delivered to the cleaner P delivered ( V ( V 4 = Ii= i = = t t P P 1 t 1 Equation ( The resistance of a copper conductor of length l and diameter d is l l 4ρCu l c = ρcu = ρcu = A π d 4 π d ( c, max Thus, if is the maximum allowed value of, the minimum acceptable diameter of the conductor is c d min = 4ρCu l π c, max Equation (4 (a If.9, then from Equations ( and (1, = Ω c = + ( t i ( ( 1 V 1.9 Ω = Ω= Ω P W and, from Equation (, the power delivered to the cleaner is P delivered ( 1 V = = ( 1 V Ω ( W W 4 47 W
30 98 CHAPTE 17 (b If the minimum acceptable power delivered to the cleaner is ( and ( give the maximum allowable total resistance as P min, then Equations ( ( 4 t, max = i + c, max = = P P P P min 1 min 1 so c, max ( ( ( ( = = = P P P P P P 1 i P min 1 min 1 1 P min 1 1 When P min = W, then c, max = ( 1 V ( W( W W = Ω and, from Equation (4, d min 8 ( Ω ( π (.18 Ω m 1. m = = 1.6 mm When c, max P min = W, then ( 1 V 1 1 = =.7 9 Ω ( W( W W and, d min 8 ( Ω m( 1. m π (.7 9 Ω 4 = =.9 mm
Electric Current. Chapter 17. Electric Current, cont QUICK QUIZ Current and Resistance. Sections: 1, 3, 4, 6, 7, 9
Electric Current Chapter 17 Current and Resistance Sections: 1, 3, 4, 6, 7, 9 Whenever electric charges of like signs move, an electric current is said to exist The current is the rate at which the charge
More informationChapter 17. Current and Resistance. Sections: 1, 3, 4, 6, 7, 9
Chapter 17 Current and Resistance Sections: 1, 3, 4, 6, 7, 9 Equations: 2 2 1 e r q q F = k 2 e o r Q k q F E = = I R V = A L R ρ = )] ( 1 [ o o T T + = α ρ ρ V I V t Q P = = R V R I P 2 2 ) ( = = C Q
More informationChapter 27 Solutions. )( m 3 = = s = 3.64 h
Chapter 27 Solutions 27.1 I Q t N Q e Q I t (30.0 10 6 A)(40.0 s) 1.20 10 3 C 1.20 10 3 C 1.60 10 19 C/electron 7.50 1015 electrons *27.2 The atomic weight of silver 107.9, and the volume V is V (area)(thickness)
More informationCurrent and Resistance
PHYS102 Previous Exam Problems CHAPTER 26 Current and Resistance Charge, current, and current density Ohm s law Resistance Power Resistance & temperature 1. A current of 0.300 A is passed through a lamp
More informationResistivity and Temperature Coefficients (at 20 C)
Homework # 4 Resistivity and Temperature Coefficients (at 0 C) Substance Resistivity, Temperature ( m) Coefficient, (C ) - Conductors Silver.59 x 0-0.006 Copper.6 x 0-0.006 Aluminum.65 x 0-0.0049 Tungsten
More informationChapter 25 Electric Currents and Resistance. Copyright 2009 Pearson Education, Inc.
Chapter 25 Electric Currents and Resistance 25-4 Resistivity Example 25-5: Speaker wires. Suppose you want to connect your stereo to remote speakers. (a) If each wire must be 20 m long, what diameter copper
More informationChapter 27 Current and Resistance 27.1 Electric Current
Chapter 27 Current and esistance 27.1 Electric Current Electric current: dq dt, unit: ampere 1A = 1C s The rate at which charge flows through a surface. No longer have static equilibrium. E and Q can 0
More informationChapter 25 Electric Currents and Resistance. Copyright 2009 Pearson Education, Inc.
Chapter 25 Electric Currents and Resistance Units of Chapter 25 The Electric Battery Electric Current Ohm s Law: Resistance and Resistors Resistivity Electric Power Units of Chapter 25 Power in Household
More informationElectric Current. You must know the definition of current, and be able to use it in solving problems.
Today s agenda: Electric Current. You must know the definition of current, and be able to use it in solving problems. Current Density. You must understand the difference between current and current density,
More informationDownloaded from
CHAPTER 12 ELECTRICITY Electricity is a general term that encompasses a variety of phenomena resulting from the presence and flow of electric charge. These include many easily recognizable phenomena such
More informationPhysicsAndMathsTutor.com
Electricity May 02 1. The graphs show the variation with potential difference V of the current I for three circuit elements. PhysicsAndMathsTutor.com When the four lamps are connected as shown in diagram
More informationMonday July 14. Capacitance demo slide 19 Capacitors in series and parallel slide 33 Elmo example
Monday July 14 Lecture 5 Capacitance demo slide 19 Capacitors in series and parallel slide 33 Elmo example Lecture 6 Currents and esistance Lecture 9 Circuits Wear Microphone 1 3 Lecture 6 Current and
More informationAP Physics C - E & M
Slide 1 / 27 Slide 2 / 27 AP Physics C - E & M Current, Resistance & Electromotive Force 2015-12-05 www.njctl.org Slide 3 / 27 Electric Current Electric Current is defined as the movement of charge from
More informationChapter 17 Electric Current and Resistance Pearson Education, Inc.c
Chapter 17 Electric Current and Resistance 2010 Pearson Education, Inc.c 1 Units of Chapter 17 Batteries and Direct Current Current and Drift Velocity Resistance and Ohm s Law Electric Power 2010 Pearson
More informationChapter 25 Electric Currents and. Copyright 2009 Pearson Education, Inc.
Chapter 25 Electric Currents and Resistance 25-1 The Electric Battery Volta discovered that electricity could be created if dissimilar metals were connected by a conductive solution called an electrolyte.
More informationCURRENT ELECTRICITY The charge flowing any cross-section per unit time in a conductor is called electric current.
CUENT ELECTICITY Important Points:. Electric Current: The charge flowing any cross-section per unit time in a conductor is called electric current. Electric Current I q t. Current Density: a) The current
More informationELECTRICITY UNIT REVIEW
ELECTRICITY UNIT REVIEW S1-3-04: How does the Atomic Model help to explain static electricity? 1. Which best describes static electricity? a) charges that can be collected and held in one place b) charges
More informationSection 1: Electric Charge and Force
Electricity Section 1 Section 1: Electric Charge and Force Preview Key Ideas Bellringer Electric Charge Transfer of Electric Charge Induced Charges Charging by Contact Electric Force Electric Field Lines
More informationQuestion Bank. Electric Energy, Power and Household Circuits
Electric Energy, Power and Household Circuits 1. (a) What do you understand by the term electric work? (b) State the SI unit of electric work and define it. (c) Name two bigger units of electric work.
More informationQuestion 3: How is the electric potential difference between the two points defined? State its S.I. unit.
EXERCISE (8 A) Question : Define the term current and state its S.I unit. Solution : Current is defined as the rate of flow of charge. I = Q/t Its S.I. unit is Ampere. Question 2: Define the term electric
More informationChapter 22: Current and Resistance Solutions
Chapter 22: Current and esistance Solutions Questions: 4, 7, 17, 21 Exercises & Problems: 1, 16, 22, 28, 36, 38, 51, 53, 55 Q22.4: A lightbulb is connected to a battery by two copper wires of equal lengths
More information1. (a) The charge that passes through any cross section is the product of the current and time. Since t = 4.0 min = (4.0 min)(60 s/min) = 240 s,
Chapter 6 1 (a) The charge that passes through any cross section is the product of the current and time Since t = 4 min = (4 min)(6 s/min) = 4 s, q = it = (5 A)(4 s) = 1 1 3 C (b) The number of electrons
More informationChapter 27: Current & Resistance. HW For Chapter 27: 6, 18, 20, 30, 42, 48, 52, 56, 58, 62, 68
Chapter 27: Current & Resistance HW For Chapter 27: 6, 18, 20, 30, 42, 48, 52, 56, 58, 62, 68 Positive Charges move from HI to LOW potential. HI V LOW V Negative Charges move from LOW to HI potential.
More informationNama :.. Kelas/No Absen :
Nama :.. Kelas/No Absen : TASK 2 : CURRENT AND RESISTANCE 1. A car battery is rated at 80 A h. An ampere-hour is a unit of: A. power B. energy C. current D. charge E. force 2. Current has units: A. kilowatt-hour
More informationNote 5: Current and Resistance
Note 5: Current and Resistance In conductors, a large number of conduction electrons carry electricity. If current flows, electrostatics does not apply anymore (it is a dynamic phenomenon) and there can
More information3 Electric current, resistance, energy and power
3 3.1 Introduction Having looked at static charges, we will now look at moving charges in the form of electric current. We will examine how current passes through conductors and the nature of resistance
More informationUnit 6 Current Electricity and Circuits
Unit 6 Current Electricity and Circuits 2 Types of Electricity Electricity that in motion. Electricity that in motion. Occurs whenever an moves through a. 2 Types of Current Electricity Electricity that
More informationVersion 001 HW 20 Circuits C&J sizemore (21301jtsizemore) 1
Version 00 HW 20 Circuits C&J sizemore (230jtsizemore) This print-out should have 35 questions. Multiple-choice questions may continue on the next column or page find all choices before answering. Serway
More informationSYSTEMS OF UNITS. 1 st Class Basic of Electrical Engineering. Current and Voltage
SYSTEMS OF UNITS In the past, the systems of units most commonly used were the English and metric, as outlined in Table below. Note that while the English system is based on a single standard, the metric
More informationPHYS 1444 Section 004 Lecture #10
PHYS 1444 Section 004 Lecture #10 Dr. Electric Current and Resistance The Battery Ohm s Law: Resisters Resistivity Electric Power Alternating Current Power Delivered by AC Today s homework is #6, due 10pm,
More informationQuestions. Problems. 768 Chapter 27 Current and Resistance
768 Chapter 27 Current and Resistance Questions denotes answer available in Student Solutions Manual/Study Guide; O denotes objective question 1. Newspaper articles often contain a statement such as 10
More informationElectric Current. Volta
Electric Current Galvani Volta In the late 1700's Luigi Galvani and Alessandro Volta carried out experiements dealing with the contraction of frogs' leg muscles. Volta's work led to the invention of the
More informationPHYS 1442 Section 001. Lecture #5. Chapter 18. Wednesday, June 17, 2009 Dr. Jaehoon Yu
PHYS 1442 Section 001 Chapter 18 Lecture #5 Dr. The Electric Battery Ohm s Law: Resisters Resistivity Electric Power Alternating Current Power Delivered by AC Today s homework is #3, due 9pm, Thursday,
More informationCurrent and Resistance
Chapter 26 Current and Resistance Copyright 26-1 Electric Current As Fig. (a) reminds us, any isolated conducting loop regardless of whether it has an excess charge is all at the same potential. No electric
More informationPHYS 1441 Section 001 Lecture #10 Tuesday, June 21, 2016
PHYS 1441 Section 001 Lecture #10 Tuesday, June 21, 2016 Chapter 25 Electric Current and Resistance The Battery Ohm s Law: Resisters, Resistivity Electric Power Alternating Current Microscopic View of
More informationLecture (07) Electric Current and Resistance By: Dr. Ahmed ElShafee Dr. Ahmed ElShafee, ACU : Spring 2015, Physics II
Lecture (07) Electric Current and Resistance By: Dr. Ahmed ElShafee ١ The glow of the thin wire filament of a light bulb is caused by the electric current passing through it. Electric energy is transformed
More informationName: Class: Date: 1. Friction can result in the transfer of protons from one object to another as the objects rub against each other.
Class: Date: Physics Test Review Modified True/False Indicate whether the statement is true or false. If false, change the identified word or phrase to make the statement true. 1. Friction can result in
More informationBrown University PHYS 0060 OHM S LAW
INTRODUCTION OHM S LAW Recently you have heard many ways of reducing energy consumption in the home. One of the suggested ways is to use 60W light bulbs rather than 00W bulbs; another is to cut back on
More information1 Written and composed by: Prof. Muhammad Ali Malik (M. Phil. Physics), Govt. Degree College, Naushera
CURRENT ELECTRICITY Q # 1. What do you know about electric current? Ans. Electric Current The amount of electric charge that flows through a cross section of a conductor per unit time is known as electric
More informationInsulators Non-metals are very good insulators; their electrons are very tightly bonded and cannot move.
SESSION 11: ELECTRIC CIRCUITS Key Concepts Resistance and Ohm s laws Ohmic and non-ohmic conductors Series and parallel connection Energy in an electric circuit X-planation 1. CONDUCTORS AND INSULATORS
More informationPhysics 22: Homework 4
Physics 22: Homework 4 The following exercises encompass problems dealing with capacitor circuits, resistance, current, and resistor circuits. 1. As in Figure 1, consider three identical capacitors each
More informationand in a simple circuit Part 2
Current, Resistance, and Voltage in a simple circuit Part 2 Electric Current Whenever electric charges of like signs move, an electric current is said to exist. Look at the charges flowing perpendicularly
More information11. ELECTRIC CURRENT. Questions and Answers between the forces F e and F c. 3. Write the difference between potential difference and emf. A.
CLSS-10 1. Explain how electron flow causes electric current with Lorentz-Drude theory of electrons?. Drude and Lorentz, proposed that conductors like metals contain a large number of free electrons while
More informationPower in Resistive Electric Circuits
Chapter Solutions Resistance and Resistivity Description: Short conceptual problem on resistance and resistivity of an ohmic conductor of different sizes at the same temperature. Based on Young/Geller
More informationAnnouncements. final exam average (excluding regrades): 79% regrade requests are due by Thursday, Sept 28 in recitation
Announcements final exam average (excluding regrades): 79% ill file. regrade requests are due by Thursday, Sept 28 in recitation On a separate sheet of paper, explain the reason for your request. This
More informationDC Circuits. Circuits and Capacitance Worksheet. 10 Ω resistance. second? on the sodium is the same as on an electron, but positive.
Circuits and Capacitance Worksheet DC Circuits 1. A current of 1.30 A flows in a wire. How many electrons are flowing past any point in the wire per second? 2. What is the current in amperes if 1200 Na
More informationhttps://www.youtube.com/watch?v=yc2-363miqs
https://www.youtube.com/watch?v=yc2-363miqs SCIENCE 9 UNIT 3 ELECTRICITY Remember: In the last unit we learned that all matter is made up of atoms atoms have subatomic particles called, protons, neutrons
More informationPart 4: Electricity & Magnetism
Part 4: Electricity & Magnetism Notes: Magnetism Magnetism Magnets: 1.Have a north and south pole 2.Like poles repel; opposite poles attract - The larger the distance between the magnets, the weaker the
More informationChapter 27. Current and Resistance
Chapter 27 Current and Resistance Electric Current Most practical applications of electricity deal with electric currents. The electric charges move through some region of space. The resistor is a new
More informationName: Class: Date: Multiple Choice Identify the letter of the choice that best completes the statement or answers the question.
Name: Class: Date: AP REVIEW 4 Multiple Choice Identify the letter of the choice that best completes the statement or answers the question. 1. If a positively charged glass rod is used to charge a metal
More informationCHAPTER 1 ELECTRICITY
CHAPTER 1 ELECTRICITY Electric Current: The amount of charge flowing through a particular area in unit time. In other words, it is the rate of flow of electric charges. Electric Circuit: Electric circuit
More informationELECTRICITY. Prepared by: M. S. KumarSwamy, TGT(Maths) Page
ELECTRICITY 1. Name a device that helps to maintain a potential difference across a conductor. Cell or battery 2. Define 1 volt. Express it in terms of SI unit of work and charge calculate the amount of
More informationSection 1 Electric Charge and Force
CHAPTER OUTLINE Section 1 Electric Charge and Force Key Idea questions > What are the different kinds of electric charge? > How do materials become charged when rubbed together? > What force is responsible
More informationClosed loop of moving charges (electrons move - flow of negative charges; positive ions move - flow of positive charges. Nucleus not moving)
Unit 2: Electricity and Magnetism Lesson 3: Simple Circuits Electric circuits transfer energy. Electrical energy is converted into light, heat, sound, mechanical work, etc. The byproduct of any circuit
More informationChapter 27. Current And Resistance
Chapter 27 Current And Resistance Electric Current Electric current is the rate of flow of charge through some region of space The SI unit of current is the ampere (A) 1 A = 1 C / s The symbol for electric
More informationMaterial World Electricity and Magnetism
Material World Electricity and Magnetism Electrical Charge An atom is composed of small particles of matter: protons, neutrons and electrons. The table below describes the charge and distribution of these
More informationChapter 16. Current and Drift Speed. Electric Current, cont. Current and Drift Speed, cont. Current and Drift Speed, final
Chapter 6 Current, esistance, and Direct Current Circuits Electric Current Whenever electric charges of like signs move, an electric current is said to exist The current is the rate at which the charge
More informationLesson 8 Electrical Properties of Materials. A. Definition: Current is defined as the rate at which charge flows through a surface:
Lesson 8 Electrical Properties of Materials I. Current I A. Definition: Current is defined as the rate at which charge flows through a surface: + + B. Direction: The direction of positive current flow
More information15 - THERMAL AND CHEMICAL EFFECTS OF CURRENTS Page 1 ( Answers at the end of all questions )
5 - THERMAL AND CHEMICAL EFFECTS OF CURRENTS Page A heater coil is cut into two equal parts and only one part is now used in the heater. The heat generated will now be four times doubled halved ( d one-fourth
More informationElectrodynamics. Review 8
Unit 8 eview: Electrodynamics eview 8 Electrodynamics 1. A 9.0 V battery is connected to a lightbulb which has a current of 0.5 A flowing through it. a. How much power is delivered to the b. How much energy
More informationCHAPTER 20 ELECTRIC CIRCUITS
CHAPTE 0 ELECTIC CICUITS ANSWES TO FOCUS ON CONCEPTS QUESTIONS..5 A. (c) Ohm s law states that the voltage is directly proportional to the current I, according to = I, where is the resistance. Thus, a
More informationPHYS 1444 Section 002 Lecture #13
PHYS 1444 Section 002 Lecture #13 Monday, Oct. 16, 2017 Dr. Animesh Chatterjee (disguising as Dr. Yu) Chapter 25 Electric Current Ohm s Law: Resisters, Resistivity Electric Power Alternating Current Microscopic
More informationSECONDARY SCHOOL ANNUAL EXAMINATIONS 2002 Educational Assessment Unit - Education Division
SECONDARY SCHOOL ANNUAL EXAMINATIONS 2002 Educational Assessment Unit - Education Division FORM 4 PHYSICS TIME: 1 hr 30 min NAME: CLASS: Answer all the questions in the spaces provided on the Examination
More informationRECALL?? Electricity concepts in Grade 9. Sources of electrical energy Current Voltage Resistance Power Circuits : Series and Parallel
Unit 3C Circuits RECALL?? Electricity concepts in Grade 9. Sources of electrical energy Current Voltage Resistance Power Circuits : Series and Parallel 2 Types of Electricity Electrostatics Electricity
More informationStatic Electricity. Electric Field. the net accumulation of electric charges on an object
Static Electricity the net accumulation of electric charges on an object Electric Field force exerted by an e - on anything that has an electric charge opposite charges attract like charges repel Static
More informationCurrent and Resistance
Current and Resistance 1 Define the current. Understand the microscopic description of current. Discuss the rat at which the power transfer to a device in an electric current. 2 2-1 Electric current 2-2
More information12/2/2018. Monday 12/17. Electric Charge and Electric Field
Electricity Test Monday 1/17 Electric Charge and Electric Field 1 In nature, atoms are normally found with equal numbers of protons and electrons, so they are electrically neutral. By adding or removing
More informationCHAPTER INTRODUCTION TO ELECTRIC CIRCUITS. C h a p t e r INTRODUCTION
C h a p t e r CHAPTE NTODUCTON TO ELECTC CCUTS.0 NTODUCTON This chapter is explaining about the basic principle of electric circuits and its connections. The learning outcome for this chapter are the students
More informationNational 5 Physics. Language Wikipedia. Electricity
National 5 Physics Catlin.Fatu@English Language Wikipedia Electricity Throughout the Course, appropriate attention should be given to units, prefixes and scientific notation. tera T 10 12 x 1,000,000,000,000
More informationElectricity CHAPTER ELECTRIC CURRENT AND CIRCUIT
CHAPTER 12 Electricity Electricity has an important place in modern society. It is a controllable and convenient form of energy for a variety of uses in homes, schools, hospitals, industries and so on.
More informationUnit 2. Current, Voltage and Resistance
Strand G. Electricity Unit 2. Current, Voltage and Resistance Contents Page Current 2 Potential Difference, Electromotive Force and Power 5 Resistance and Ohm s Law 9 G.2.1. Current In a metallic conductor
More informationCHAPTER 20 ELECTRIC CIRCUITS
CHAPTER 20 ELECTRIC CIRCUITS PROBLEMS. SSM REASONING Since current is defined as charge per unit time, the current used by the portable compact disc player is equal to the charge provided by the battery
More informationLecture 6 Current and Resistance Ch. 26
Lecture 6 Current and esistance Ch. 6 Cartoon -nvention of the battery and Voltaic Cell Warm-up problem Topics What is current? Current density Conservation of Current esistance Temperature dependence
More informationHandout 5: Current and resistance. Electric current and current density
1 Handout 5: Current and resistance Electric current and current density Figure 1 shows a flow of positive charge. Electric current is caused by the flow of electric charge and is defined to be equal to
More informationSolutions to Physics: Principles with Applications, 5/E, Giancoli Chapter 18
CHAPTER 18 1. The charge that passes through the battery is ÆQ = I Æt = (5.7 A)(7.0 h)(3600 s/h) = 1.4 10 5 C. 2. The rate at which electrons pass any point in the wire is the current: I = 1.00 A = (1.00
More informationPHYS 1444 Section 003. Lecture #12
Chapter 5 Power PHYS 1444 Section 003 Alternating Current Microscopic Current Chapter 6 EMF and Terminal Voltage Lecture #1 Tuesday October 9, 01 Dr. Andrew Brandt Resistors in Series and Parallel Energy
More informationChapter 21 Electric Current and Direct- Current Circuits
Chapter 21 Electric Current and Direct- Current Circuits Units of Chapter 21 Electric Current Resistance and Ohm s Law Energy and Power in Electric Circuits Resistors in Series and Parallel Kirchhoff s
More informationweek 6 chapter 31 Current and Resistance
week 6 chapter 31 Current and Resistance Which is the correct way to light the lightbulb with the battery? 4) all are correct 5) none are correct 1) 2) 3) Which is the correct way to light the lightbulb
More informationCURRENT, RESISTANCE, AND ELECTROMOTIVE FORCE
CURRENT, RESISTNCE, ND ELECTROMOTIVE FORCE 5 Q 5.1. IDENTIFY and SET UP: The lightning is a current that lasts for a brief time. I =. t 6 Q= I t = (5,000 )(40 10 s) = 1. 0 C. EVLUTE: Even though it lasts
More informationA Review of Circuitry
1 A Review of Circuitry There is an attractive force between a positive and a negative charge. In order to separate these charges, a force at least equal to the attractive force must be applied to one
More informationElectric Currents & Resistance
Electric Currents & Resistance Electric Battery A battery produces electricity by transforming chemical energy into electrical energy. The simplest battery contains two plates or rods made of dissimilar
More informationCurrent Electricity.notebook. December 17, 2012
1 Circuit Diagrams and Assembly 1. Draw a circuit diagram containing a battery, a single throw switch, and a light. 2. Once the diagram has been checked by your teacher, assemble the circuit. Keep the
More informationElectroscope Used to are transferred to the and Foil becomes and
Electricity Notes Chapter 17 Section 1: Electric Charge and Forces Electric charge is a variety of independent all with one single name. Electricity is related to, and both (-) and (+) carry a charge.
More informationRead Chapter 7; pages:
Forces Read Chapter 7; pages: 191-221 Objectives: - Describe how electrical charges exert forces on each other; Compare the strengths of electric and gravitational forces; Distinguish between conductors
More informationAP Physics Electricity and Magnetism #3 Capacitors, Resistors, Ohm s Law, Electric Power
Name Period AP Physics Electricity and Magnetism #3 Capacitors, Resistors, Ohm s Law, Electric Power Dr. Campbell 1. The two plates of a capacitor hold +2500 µc and -2500 µc of charge, respectively, when
More informationChapter 3. Chapter 3
Chapter 3 Review of V, I, and R Voltage is the amount of energy per charge available to move electrons from one point to another in a circuit and is measured in volts. Current is the rate of charge flow
More informationA free web support in Education. Internal resistance of the battery, r = 3 Ω. Maximum current drawn from the battery = I According to Ohm s law,
Exercises Question 3.1: The storage battery of a car has an emf of 12 V. If the internal resistance of the battery is 0.4Ω, what is the maximum current that can be drawn from the battery? Answer 3.1: Emf
More information8. Electric circuit: The closed path along which electric current flows is called an electric circuit.
GIST OF THE LESSON 1. Positive and negative charges: The charge acquired by a glass rod when rubbed with silk is called positive charge and the charge acquired by an ebonite rod when rubbed with wool is
More informationLESSON 5: ELECTRICITY II
LESSON 5: ELECTRICITY II The first two points are a review of the previous lesson 1.1.ELECTRIC CHARGE - Electric charge is a property of all objects and is responsible for electrical phenomena. -All matter
More informationElectricity Test Review
Electricity Test Review Definitions; Series Circuit, Parallel Circuit, Equivalent Resistance, Fuse, Circuit Breaker, kilowatt hour, load, short circuit, dry cell, wet cell, fuel cells, solar cells, fossil
More informationChapter 27. Current and Resistance
Chapter 27 Current and Resistance Electric Current Most practical applications of electricity deal with electric currents. The electric charges move through some region of space. The resistor is a new
More informationANSWERS AND MARK SCHEMES. (a) (i) 0.4 A 1. (ii) 0.4 A 1. (b) (i) potential difference = current resistance V 1. (ii) 1.6 V 1
QUESTIONSHEET 1 (a) (i) 0.4 A 1 (ii) 0.4 A 1 (b) (i) potential difference = current resistance 1 2.4 V 1 (ii) 1.6 V 1 (c) showing all working 1 correct answer with units for total resistance: 16 Ω 1 calculate
More informationElectric charges. Basics of Electricity
Electric charges Basics of Electricity Electron has a negative charge Neutron has a no charge Proton has a positive charge But what is a charge? Electric charge, like mass, is a fundamental property of
More informationDirect Currents. We will now start to consider charges that are moving through a circuit, currents. Sunday, February 16, 2014
Direct Currents We will now start to consider charges that are moving through a circuit, currents. 1 Direct Current Current usually consists of mobile electrons traveling in conducting materials Direct
More informationChapter 3: Electric Current and Direct-Current Circuit
Chapter 3: Electric Current and Direct-Current Circuit n this chapter, we are going to discuss both the microscopic aspect and macroscopic aspect of electric current. Direct-current is current that flows
More informationElectricity. Prepared by Juan Blázquez, Alissa Gildemann. Electric charge is a property of all objects. It is responsible for electrical phenomena.
Unit 11 Electricity 1. Electric charge Electric charge is a property of all objects. It is responsible for electrical phenomena. Electrical phenomena are caused by the forces of attraction and repulsion.
More informationChapter 3: Electric Current And Direct-Current Circuits
Chapter 3: Electric Current And Direct-Current Circuits 3.1 Electric Conduction 3.1.1 Describe the microscopic model of current Mechanism of Electric Conduction in Metals Before applying electric field
More informationOhm's Law and Resistance
Ohm's Law and Resistance Resistance Resistance is the property of a component which restricts the flow of electric current. Energy is used up as the voltage across the component drives the current through
More informationElectric Current. Equilibrium: Nonequilibrium: Electric current: E = 0 inside conductor. Mobile charge carriers undergo random motion.
Electric Current Equilibrium: E = 0 inside conductor. Mobile charge carriers undergo random motion. Nonequilibrium: E 0 inside conductor. Mobile charge carriers undergo random motion and drift. Positive
More informationWhat is an Electric Current?
Electric Circuits NTODUCTON: Electrical circuits are part of everyday human life. e.g. Electric toasters, electric kettle, electric stoves All electrical devices need electric current to operate. n this
More information