22.45 · Concentric Spherical Shells. A small conductingspherical shell with inner radius a and outer radius b is concen-tric with a larger conducting spherical shell with inner radius cand outer radius d (Fig. P22.45). The inner shell has total charge+2q, and the outer shell has charge +4q. Figure P22.45(a) Calculate the clectric field Ë (magni-tude and direction) in terms of q and thedistance r from the common center of thetwo shells for (1) r< a; (ii) a d.Graph the radial component ofÉ as afunction of r. (b) What is the total chargeon the (i) inner surface of the small shell;(ii) outer surface of the small shell; (iii) in-ner surface of the large shell; (iv) outer surface of the large shell?

Answered: Image /qna-images/answer/42760df9-9c89-4ebc-b326-d89d11a7158b.jpg

22.45 · Concentric Spherical Shells. A small conducting spherical shell with inner radius a and outer radius b is concen- tric with a larger conducting spherical shell with inner radius c and outer radius d (Fig. P22.45). The inner shell has total charge +2q, and the outer shell has charge +4q. Figure P22.45 (a) Calculate the clectric field É (magni- tude 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 d. Graph the radial component of É as a function of r. (b) What is the total charge on the (i) inner surface of the small shell; (ii) outer surface of the small shell; (iii) in- ner surface of the large shell; (iv) outer surface of the large shell?

22.45 · Concentric Spherical Shells. A small conducting spherical shell with inner radius a and outer radius b is concen- tric with a larger conducting spherical shell with inner radius c and outer radius d (Fig. P22.45). The inner shell has total charge +2q, and the outer shell has charge +4q. Figure P22.45 (a) Calculate the clectric field É (magni- tude 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 d. Graph the radial component of É as a function of r. (b) What is the total charge on the (i) inner surface of the small shell; (ii) outer surface of the small shell; (iii) in- ner surface of the large shell; (iv) outer surface of the large shell?

Principles of Physics: A Calculus-Based Text

5th Edition

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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