Homework 7 Solutions

Homework 7 Solutions - lim(kl9356 Homework 7 Weathers(22202...

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lim (kl9356) – Homework 7 – Weathers – (22202) 1 This print-out should have 10 questions. Multiple-choice questions may continue on the next column or page – fnd 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 2 . 274 × 10 14 have been transFerred, the potential di±erence between the conductors is 15 . 7 V. The charge on an electron is - 1 . 60218 × 10 19 C . What is the capacitance oF the system? Correct answer: 2 . 3206 × 10 6 ². Explanation: Let : e = - 1 . 60218 × 10 19 C , N = 2 . 274 × 10 14 electrons , and V = 15 . 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 = - (2 . 274 × 10 14 ) ( - 1 . 60218 × 10 19 C) 15 . 7 V = 2 . 3206 × 10 6 ² . 002 10.0 points A spherical capacitor consists oF a conducting ball oF radius 15 cm that is centered inside a grounded conducting spherical shell oF inner radius 17 cm. What charge is required to achieve a potential oF 1452 V on the ball oF ra- dius 15 cm? The Coulomb constant is 8 . 98755 × 10 9 N · m 2 / C 2 . Correct answer: 2 . 05985 × 10 7 C. Explanation: Let : k e = 8 . 98755 × 10 9 N · m 2 / C 2 , a = 15 cm = 0 . 15 m , b = 17 cm = 0 . 17 m and V = 1452 V . The capacitance oF a spherical capacitor is given by C = a b k e ( b - a ) . The charge required to achieve a potential di±erence V between the shell and the ball is given by Q = C V = 1 k e a b V ( b - a ) = 1 (8 . 98755 × 10 9 N · m 2 / C 2 ) × (0 . 15 m) (0 . 17 m) (1452 V) (0 . 17 m) - (0 . 15 m) = 2 . 05985 × 10 7 C . keywords: 003 (part 1 oF 2) 10.0 points A 22 m length oF coaxial cable has a solid cylindrical wire inner conductor with a di- ameter oF 2 . 633 mm and carries a charge oF 7 . 62 μ C. The surrounding conductor is a
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Homework 7 Solutions - lim(kl9356 Homework 7 Weathers(22202...

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