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MIDTERM 2

# MIDTERM 2 - Version 034/AACAC midterm 02 Turner(59130 This...

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Version 034/AACAC – midterm 02 – Turner – (59130) 1 This print-out should have 18 questions. Multiple-choice questions may continue on the next column or page – find all choices before answering. 001 10.0 points A parallel-plate capacitor has 2 . 03 cm 2 plates that are separated by 5 . 74 mm with air be- tween them. The permittivity of a vacuum is 8 . 85419 × 10 12 C 2 / N · m 2 . If a 5 . 7 V battery is connected to this ca- pacitor, how much energy does it store? 1. 2.43599e-11 2. 1.91821e-11 3. 1.07309e-11 4. 1.00126e-10 5. 1.42845e-11 6. 5.36657e-12 7. 2.47153e-11 8. 1.16781e-11 9. 1.81619e-11 10. 5.08689e-12 Correct answer: 5 . 08689 × 10 12 J. Explanation: Let : A = 2 . 03 cm 2 = 0 . 000203 m 2 , d = 5 . 74 mm = 0 . 00574 m , V = 5 . 7 V , and ǫ 0 = 8 . 85419 × 10 12 C 2 / N · m 2 . The capacitance is C = ǫ 0 A d , and the stored energy is W = 1 2 C V 2 = ǫ 0 A V 2 2 d = (8 . 85419 × 10 12 C 2 / N · m 2 ) × (0 . 000203 m 2 ) (5 . 7 V) 2 2 (0 . 00574 m) = 5 . 08689 × 10 12 J . 002 (part 1 of 2) 10.0 points Consider the system of capacitors connected to a battery as shown below. E B 3 μ F 3 μ F 3 μ F 3 μ F 3 μ F 3 μ F Find the equivalent capacitance of the cir- cuit. 1. C = 4 3 μ F 2. C = 3 2 μ F 3. C = 2 μ F correct 4. C = 4 μ F 5. C = 2 3 μ F 6. C = 3 μ F 7. C = 1 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 = 3 μ F ,

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