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A Positive charge Q is placed on a conducting spherical shell with inner radius `R_(1)` and outer radius ` R_2` . A particle with charge q is placed at the center of the spherical cavity . The magnitude of the electric field at a point in the cavity , a distance r from center is

A

zero

B

`Q/4 (pi epsilon_@R^2)`

C

`q/(4 pi epsilon_@r^2)`

D

`(q+Q)/(4 pi epsilon_@r^2)`

Text Solution

Verified by Experts

The correct Answer is:
C

Answer(3) E = `1/(4 pi in_@ q/r^2`
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A spherical conducting shell of inner radius r_(1) and outer radius r_(2) has a charge Q. (a) A charge q is placed at the centre of the shell. What is the surface charge density on the inner and outer surfaces of the shell? (b) Is the electric field inside a cavity (with no charge) zero, even if the shell is not spherical, but has any irregular shape? Explain.

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