2000 February 25 Exam I Physics 106

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1 February 5 Exam I Physics 6 ircle the letter of the single best answer. Each question is worth point Physical onstants: proton charge = e =.6 9 proton mass = m p =.67 7 kg electron mass = m e = 9. kg permittivity of free space = ǫ = 8.85 F/m oulomb constant = k e = 9 9 N m / Faraday constant = speed of light = c = 8 m/s Rydberg energy = Ry =.8 8 J =.6 ev. n electron is moving at high speed through a field-free region. In enters (and soon exits) a region in which the electric field points up. Which path best represents the path of the electron? uniform E field uniform E field. negatively charged rod approaches a previously neutral conducting sphere. Which picture best displays the arrangement of the surface charges on the sphere?. The sphere described the previous problem is grounded. Which picture now best displays the arrangement of the surface charges on the sphere? 4. There is no net charge on a conducting sphere. The force between a positively charged rod and the sphere is: (a) zero (b) attractive (c) repulsive (d) at first repulsive, but then attractive 5. The electric field just outside of a positively charge conductor may be best characterized by which combination of the following conditions: I. tangent to the surface II. zero magnitude III. largest on the parts of the conductor at the highest voltage IV. largest on the parts of the conductor with the smallest radius of curvature V. largest on the parts of the conductor with the largest surface charge density (a) I, III, IV (b) IV, V (c) II (d) II, IV, V

2 6. In a thundercloud there may be an electric charge of at the top of the cloud and near the bottom of the cloud. The top and bottom of the cloud are separated by km. The electric force between these two sets of charges is most nearly: (a),, N (b),, N (c), N (d), N 7. V battery is connected between two large parallel plates separated by mm. The magnitude of the electric field between the plates is most nearly: (a) 9 4 V/m (b), N/ (c) 9 V/m (d) 9 6 V/m 8. Three capacitors of capacitance µf, µf, and µf are connected in parallel. The combined capacitance is most nearly: (a) 6 µf (b).7 µf (c).55 µf (d).67 µf 9. 6 µf and a µf capacitor are connected in series and charged with a 9 V battery. (a) The voltage drop across the 6 µf capacitor is half the voltage drop across the µf capacitor. (b) The charge stored on the 6 µf capacitor is equal to the charge stored on the µf capacitor. (c) Together the two capacitors act like one µf capacitor. (d) ll of the above are true.. 9 V is placed across the terminals of a µf capacitor. How much charge is (most nearly) stored on the capacitor? (a). µ (b) µ (c) µ (d) 6. For the capacitor of the previous problem, approximately how much energy is stored in the capacitor? (a) µj (b) 7 µj (c) 4 µj (d) µj. parallel plate capacitor has been charged with a charge Q. dielectric slab (dielectric constant κ > ) can exactly fit between the plates. If the dielectric is inserted V Q Q ielectric κ (a) the charge on the plates and the voltage will increase. (b) the capacitance will increase and the voltage will decrease. (c) the electric field between the plates will increase. (d) the capacitance and the electric field between the plates will decrease.. 6 W light bulb is designed to operate at V. The resistance of this bulb when operating is most nearly: (a) Ω (b) Ω (c) Ω (d) kω

3 4. Replacing a wire resistor with another of the same material and length but with three times the diameter will have the effect of changing the resistance by what factor? (a) 9 (b) (c) (d) W heater carries a current of 4. How much does it cost to operate the heater for minutes if electrical energy costs 6/c per kw hr (a).5 /c (b) 6 /c (c) /c (d) 4 /c 6. Which process will double the heat given off by a resistor? (a) Increasing the voltage by a factor of. (b) oubling the current while making the resistance half as big. (c) oubling the voltage while making the resistance twice as big. (d) ll of the above. 7. The following three appliances are connected to a V house circuit: (i) W toaster, (ii) 6 W microwave, and (iii) W lamp. What is the smallest fuse you could use and still operate all of these devices at the same time? (a) (b) 5 (c) (d) 5 8. In terms of units the equation P = IV reads: (a) J/s = /s J/ (b) W = Ω V (c) W = /s N/ (d) = Ω V 9. s you saw in lab, if you increase the voltage across a light bulb, the light bulb goes from non-luminous to luminous. If you were to increase the voltage still further you would melt the metal filament and the bulb would be burned out. s you begin to increase the voltage across the light bulb: (a) the drift velocity of the electrons increases (b) the resistance of the filament increases (c) the electrical power consumed by the filament increases (d) all of the above. What is the current through the 6 Ω resistor? (a) (b) 4 V (c).4 (d) 4 4 Ω 6 Ω. What is the current through the 6 Ω resistor? (a) (b) (c).4 (d) 4 4 V 6 Ω 4 Ω. If you measure the voltage across a particular battery s terminals with a voltmeter you read 6 V. However if you read the voltage across its terminals when it is powering a light bulb known to be drawing.5, you find 5.5 V. The internal resistance of the battery is: (a) 6 Ω (b) Ω (c) Ω (d).5 Ω

4 . The same components are used to make a series circuit of Ω and Ω resistors and a parallel circuit. In each circuit, which resistor draws the most electrical power? 5. Which of the four identical bulbs will shine the brightest in the below circuit? Ω Ω Ω Ω (a) The Ω draws the most power in the parallel circuit; the Ω draws the most power in the series circuit. (b) The Ω draws the most power in the parallel circuit; the Ω draws the most power in the series circuit. (c) The Ω draws the most power in both circuits. (d) The Ω draws the most power in both circuits. (a) (b) (c) (d) 4. n alien electronic device is found sitting on the ground near rea 5. In an unknown language it is labeled anger cme K-omb. Its two terminals are wired into a circuit as shown below. The ammeter reads., the voltmeter is about to be attached. What will the voltmeter read? V Ω V anger cme K-bomb (a) V (b) V (c) V (d) You can t say without further information

5 6. In below plots the elliptical loops are equipotentials. djacent loops have the same voltage difference (e.g., consecutive loops might be at voltages:,,,,...volts.). t each point corresponding to the tail of the vector the electric field has been calculated and is displayed as an arrow. Which plot properly displays the relationship between electric potential (voltage) and electric field? (a) (b) (c) (d) - -

6 The following questions are worth 5 pts each 7. s shown below three charges are arranged in an equilateral triangle with side 5 cm. Find the magnitude of the electric field vector at the spot marked with an X (i.e., the midpoint of the horizontal segment). q = n s = 5 cm q = 8 n q = 5 n 8. Find the voltage at the spot marked with an X in the above figure.

7 9. n electron moving only the influence of electric forces (i.e., no gravity, no friction ) initially finds itself moving with a speed of 6 6 m/s in a region where the voltage is V. When it enters a region where the voltage is V, how fast is the electron moving?. When plugged into a V household circuit an immersion heater draws. The immersion heater is used to warm 5 g of water (c = 486 J/kg ). How long does it take for the heater to bring water to a boil?. (This problem counts as two problems.) Find the current in each leg of the following circuit. (Please clearly label which current goes with which leg.) Ω 6 Ω 8 V V 6 V

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