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Question

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 (as shown in Fig). The inner shell has total charge +2q and the outer shell has charge +4q. Calculate the electric field in terms of q and the distance r from the common centre of the two shells for:
c<r<d
160333.png
  1. 14πε06qr2
  2. 14πε02qr2
  3. 14πε0qr2
  4. Zero

A
14πε02qr2
B
14πε0qr2
C
Zero
D
14πε06qr2
Solution
Verified by Toppr

i. r<a.E=0, since Q=0. (Fig.)
ii. a<r<b.E=0, since Q=0.
iii. b<r<c. Since Q=+2q,E=14πϵ02qr2,
iv. c<r<d.E=0, since Q=0.
v. r>d.14πϵ06qr2, since Q=+6q.

1946676_160346_ans_9769cb4ad68a43d2b8ffd5e999ce214e.jpg

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