2013 Feb 13 Exam 1 Physics 106. Physical Constants:
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1 203 Feb 3 xam Physics 06 Physical onstants: proton charge = e = proton mass = m p = kg electron mass = m e = kg oulomb constant = k = N m 2 / 2 permittivity = ǫ 0 = /(N m 2 ) soun velocity = v = 343 m/s ircle the letter of the single best answer. ( pt.). ompare with the soun you hear from the siren of a stationary fire engine, the soun you hear when the fire engine approaches you has an increase. spee.. wavelength.. oth of these.. Neither of these. 2. If two notes of nearly eual pitch are simultaneously present we call the result beats. Which of the below graphs isplays this phenomena. 4. Jack was initially 3 m from his stereo speakers an the soun intensity was I. If he moves to 6 m from the speakers the soun intensity will most nearly be:. 2 I. 4 I. 6 I. 36 I 5. The following iagram shows the electric fiel lines in a region of space containing two small charge spheres(y an Z). Which of the below statements best escribes this situation. Z Y 3. Jill increases the volume of her stereo by 3 ecibels. If the initial soun intensity was I, the intensity after increasing the volume is most nearly:..03 I..3 I. 2 I. 3 I. Y carries a positive charge; Z carries a negative charge.. The strongest electric fiel is miway between Y an Z.. oth of the above.. None of the above.
2 6. n electron is moving at high spee through a fiel-free region. It enters (an soon exits) a region in which the electric fiel points own. Whichpathbestrepresentsthepathoftheelectron? µ x 2 µ 4 µ y uniform fiel 2 3. Φ 2 < Φ < Φ 3. Φ < Φ 2 < Φ 3 uniform fiel. Φ = Φ 2 = Φ 3. Φ 2 < Φ = Φ 3 7. The below figure shows three uniformlycharge soli spheres with ientical volume charge ensity ρ, but iffering raius. onsier the electric fiel at the surface of the Gaussian spheres of raius r. (Note that in all cases: r <, i.e., the Gaussian sphere lies fully insie the charge ball.) Which of the the below graphs best isplays how epens on the raius of the charge ball? 9. onsier the electric potential (voltage) at the point marke X ue to two particles, each with positive charge an separate by istance in any of the four configurations shown below. ank the configurations accoring to the magnitue of the electric potential at X, least to greatest. (V enotes the voltage in configuration #, etc.) r Gaussian surface # #2 soli, charge sphere #3 #4. V 2 < V < V 3 < V 4. V 2 < V 3 < V < V 4. V < V 2 = V 3 = V 4. V < V 2 < V 3 < V 4 8. The figure in the following column shows the location an charge on three tiny conuctors sitting in the xy plane. onsier the electric flux, Φ through three Gaussian spheres centere on the origin with raii as shown in the figure. Which of the below options best escribes the relationship between the flux through these three spheres. (Φ enotes the electric flux through sphere, etc.) 0. If an electron were place at the spot marke X in each of the configurations of the previous problem, which electron woul reuire the least amount of work to be move infinitely far from the (fixe) charges.. #. #2. #3. #4
3 mα m 00 µα m. 2 µf capacitor ( ) an a 4 µf capacitor ( 2 ) are connecte as shown below an attache to a 6 V battery. How oes the voltage rop across (V = V a V b ) compare to the voltage rop across 2 (V 2 = V b V c )?. V = 2V 2. 2V = V 2 a 2 µf 4 µf b 2 6V. Not enough information given to solve problem.. None of the above 2. Thesamecomponents(0 Ωan20Ωresistors) are use to make a series circuit an a parallel circuit. In each circuit, which resistor raws the most electrical power? 0 Ω 20 Ω c 0 Ω 20 Ω. The 0 Ω raws the most power in both circuits.. The 20 Ω raws the most power in both circuits.. The 0 Ω raws the most power in the parallel circuit; the 20 Ω raws the most power in the series circuit.. The 20 Ω raws the most power in the parallel circuit; the 0 Ω raws the most power in the series circuit. 3. What is the voltage across the 6 Ω resistor? 4. What is the voltage across the 6 Ω resistor? (Select the nearest result). 4 V. 8 V. 4 V. 24 V 24 V 6 Ω 4 Ω 5. The following three appliances are turne off but connecte to the same 20 V house circuit: (a) 500 W space heater, (b) 200 W toaster, (c) 600 W microwave, () 360 W stereo, (e) 20 W lamp, an (f) 60 W laptop. Which of the below combinations coul be simultaneously turne on given that the circuit is protecte with a 20 fuse. (ircle all that woul work.). a an b. a, c, an. b, c,, e an f. a, c, e, an f 6. The below circuit shows a series circuit. Theswitch is close at t = 0. Which graphbest represents how the current changes in time? 0 kω 0 V 00 pf 24 V 4 Ω 6 Ω µs µs. 4 V. 8 V. 4 V. 24 V 0 ms µs
4 The following uestions are worth 0 pts each ecor your steps! (Grae base on metho isplaye not just numerical result) 7. n open-close organ pipe (length L = m) souns proucing the funamental staning wave an the next two harmonics. In the below sketches of the organ pipe, raw each of these staning wave patterns an report the wavelength of the staning wave. Label a noe an an antinoe. L 8. s shown three charges are arrange in an euilateral triangle with sie 5 cm; we seek the electric fiel vector at the spot marke X (i.e., the mipoint of the vertical segment).. irectly on the iagram, raw (approximately) an label the electric fiel vector (incluing irection) ue to each of the three charges. Label the electric fiel ue to Q, etc.. raw (approximately) the sum of these three electric fiel vectors. Label an angle that escribes the irection of this net electric fiel vector.. alculate the electric fiel vector at the spot marke X, by fining its x an y components.. alculate the numerical value of the angle you labele in part (). Q 3 = 5 µ + s = 5 cm Q 2 = 3 µ + Q = µ
5 9. For the below uestions circle the appropriate symbol to report if the uantity increases ( ), ecreases ( ) or stays the same ( ). slightly ecrease plate separation Q closely-space parallel-plate capacitor is charge (left plate carries +Q; right plate Q) an isconnecte (isolate; connecte to no thing). If the plate separation is then ecrease slightly report how the below uantities woul change. capacitance Q potential ifference (voltage) charge on a plate potential energy store electric fiel between plates I l 2a resistor consists of a long cyliner of carbon (raius a, length l) an carries a current I. If the current I is then slightly ecrease report how the below uantities woul change. resistance potential ifference (voltage) resistivity electric fiel rift velocity 20. raw the schematic circuit iagrams of the circuits escribe below. Two ientical uncharge capacitors are connecte in series an then connecte to a bat- Two ientical resistors are connecte in parallel an then connecte to a battery. raw tery. raw below the schematic iagram of below the schematic iagram of this circuit. this circuit. The battery transfers a charge The battery sources a current of I to this parallel combination anproucesavoltage ofv. Q to this series combination an prouces a voltage of V. For each of the four plates that For each resistor report (i.e., label the with) make up the two capacitors report (i.e., label the current through the resistor an the voltage across it. the plate with) the charge on that plate. lso label each capacitor with the voltage across it.
6 2. Using Kirchhoff s Laws fin the current flowing in each wire of the given circuit. Use the supplie current arrows/names! learly show (by writing irectly on the circuit iagram) each loop followe (incluing irection) an the resulting euation. Feel free to solve these euations using irect calculator methos like rref, but recor exactly what you supplie to your calculator. (Otherwise it is very ifficult to give partial creit.) 2 Ω 6 Ω 8 V I 3 3 Ω 6 V I I 2
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