7 - roofner (bar784) Homework 7 Weathers (22202) 1 This...

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Unformatted text preview: roofner (bar784) Homework 7 Weathers (22202) 1 This print-out should have 10 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 2 . 4882 10 14 have been transferred, the potential difference between the conductors is 12 . 3 V. The charge on an electron is- 1 . 60218 10 19 C . What is the capacitance of the system? Correct answer: 3 . 24109 10 6 F. Explanation: Let : e =- 1 . 60218 10 19 C , N = 2 . 4882 10 14 electrons , and V = 12 . 3 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 . 4882 10 14 ) (- 1 . 60218 10 19 C) 12 . 3 V = 3 . 24109 10 6 F . 002 10.0 points A spherical capacitor consists of a conducting ball of radius 7 cm that is centered inside a grounded conducting spherical shell of inner radius 10 cm. What charge is required to achieve a potential of 1098 V on the ball of ra- dius 7 cm? The Coulomb constant is 8 . 98755 10 9 N m 2 / C 2 . Correct answer: 2 . 85061 10 8 C. Explanation: Let : k e = 8 . 98755 10 9 N m 2 / C 2 , a = 7 cm = 0 . 07 m , b = 10 cm = 0 . 1 m and V = 1098 V . The capacitance of a spherical capacitor is given by C = a b k e ( b- a ) . The charge required to achieve a potential difference 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 . 07 m) (0 . 1 m) (1098 V) (0 . 1 m)- (0 . 07 m) = 2 . 85061 10 8 C . keywords: 003 (part 1 of 2) 10.0 points A 69 m length of coaxial cable has a solid cylindrical wire inner conductor with a di- ameter of 2 . 666 mm and carries a charge of 8 . 49 C. The surrounding conductor is a cylindrical shell and has an inner diameter of...
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7 - roofner (bar784) Homework 7 Weathers (22202) 1 This...

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