# hw 6 - wilson(kw22588 – HW6 – Mackie –(20224 1 This...

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Unformatted text preview: wilson (kw22588) – HW6 – Mackie – (20224) 1 This print-out should have 19 questions. Multiple-choice questions may continue on the next column or page – find all choices before answering. 001 10.0 points Two conductors insulated from each other are charged by transferring electrons from one conductor to the other. After 1 . 7599 × 10 14 have been transferred, the potential difference between the conductors is 7 . 7 V. The charge on an electron is- 1 . 60218 × 10 − 19 C . What is the capacitance of the system? Correct answer: 3 . 66191 × 10 − 6 F. Explanation: Let : e =- 1 . 60218 × 10 − 19 C , N = 1 . 7599 × 10 14 electrons , and V = 7 . 7 V . One conductor gains a charge of Q =- N e while the other gains a charge of- Q. The capacitance of the system is C = q V =- N e V =- (1 . 7599 × 10 14 ) (- 1 . 60218 × 10 − 19 C) 7 . 7 V = 3 . 66191 × 10 − 6 F . 002 (part 1 of 2) 10.0 points Consider the system of capacitors connected to a battery as shown below. E B 2 . 1 μ F 2 . 1 μ F 2 . 1 μ F 2 . 1 μ F 2 . 1 μ F 2 . 1 μ F Find the equivalent capacitance of the cir- cuit. Correct answer: 1 . 4 μ F. Explanation: E B C 1 C 2 C 3 C 4 C 5 C 6 c a b c d Let : C 1 = C = 2 . 1 μ F , C 2 = C = 2 . 1 μ F , C 3 = C = 2 . 1 μ F , C 4 = C = 2 . 1 μ F , C 5 = C = 2 . 1 μ F , C 6 = C = 2 . 1 μ F , and E B = 14 . 2857 V . The basic formulae are C eq = 1 1 C 1 + 1 C 2 , connected in series; C 1 + C 2 , connected parallel. Thus the equivalent capacitance is C ad = 1 1 C + C + 1 C + C + 1 C + C = 1 1 2 C + 1 2 C + 1 2 C = 2 3 C = 2 3 (2 . 1 μ F) = 1 . 4 μ F . wilson (kw22588) – HW6 – Mackie – (20224) 2 003 (part 2 of 2) 10.0 points What potential difference E B must be ap- plied across the capacitor network so that the charge on each plate of each capacitor will have magnitude of 10 μ C? Correct answer: 14 . 2857 V. Explanation: Let : Q = 10 μ C . Regard the system as an equivalent capacitor with the capacitance C ad = 1 . 4 μ F. The charge on each parallel set of capacitors is the sum the charges on each of the capacitors ( i.e. , Q 12 = Q 34 = Q 56 = 20 μ C). The charge on a series set of capacitors is the same ( i.e. , Q total = 20 μ C)....
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## This note was uploaded on 02/17/2011 for the course PHY 303L taught by Professor Turner during the Spring '08 term at University of Texas.

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hw 6 - wilson(kw22588 – HW6 – Mackie –(20224 1 This...

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