A small conducting spherical shell with inner radius a and outer radius b is concentric with a larger conducting spherical shell with inner radius c and outer radius d. The inner shell has total charge +2q, and the outer shell has charge +4q. (a) Calculate the electric field E (magnitude and direction) in terms of q              and the distance r from the common center of the two shells for      (i) r < a;      (ii) a < r < b;      (iii) b < r < c;      (iv) c < r < d;      (v) r > d. (b) What is the total charge on the       (i) inner surface of the small shell;       (ii) outer surface of the small shell;       (iii) inner surface of the small shell;       (iv) outer surface of the small shell?

Principles of Physics: A Calculus-Based Text
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ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter19: Electric Forces And Electric Fields
Section: Chapter Questions
Problem 57P: A solid conducting sphere of radius 2.00 cm has a charge 8.00 μC. A conducting spherical shell of...
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A small conducting spherical shell with inner radius a and outer radius b is concentric with a larger conducting spherical shell with inner radius c and outer radius d. The inner shell has total charge +2q, and the outer shell has charge +4q.

(a) Calculate the electric field E (magnitude and direction) in terms of q              and the distance r from the common center of the two shells for

     (i) r < a;

     (ii) a < r < b;

     (iii) b < r < c;

     (iv) c < r < d;

     (v) r > d.

(b) What is the total charge on the

      (i) inner surface of the small shell;

      (ii) outer surface of the small shell;

      (iii) inner surface of the small shell;

      (iv) outer surface of the small shell?

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