hw 6 - wilson (kw22588) HW6 Mackie (20224) 1 This print-out...

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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 F 2 . 1 F 2 . 1 F 2 . 1 F 2 . 1 F 2 . 1 F Find the equivalent capacitance of the cir- cuit. Correct answer: 1 . 4 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 F , C 2 = C = 2 . 1 F , C 3 = C = 2 . 1 F , C 4 = C = 2 . 1 F , C 5 = C = 2 . 1 F , C 6 = C = 2 . 1 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 F) = 1 . 4 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 C? Correct answer: 14 . 2857 V. Explanation: Let : Q = 10 C . Regard the system as an equivalent capacitor with the capacitance C ad = 1 . 4 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 C). The charge on a series set of capacitors is the same ( i.e. , Q total = 20 C)....
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hw 6 - wilson (kw22588) HW6 Mackie (20224) 1 This print-out...

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