Question

a spherical conducting shell of inner radius r1 and outer radius r2 has a charge Q . A chare q is placed at the centre of the shell. what is the surface charge density on outer and inner surfaces of the shell? write the expression for the electric field at a point x>r2 from the centre of the shell?









































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Answer 1

Answer:

Solution

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We have,

radii=r

1

,r

2

charge=Q,q

So,

a) Surface charge density on the inner surface is:

4πr

1

2

q

Surface charge density on the outer surface is:

4πr

2

2

q+Q

from

b) For finding the electric field at the distance x from the center is:

For this Apply the Gauss law,

E×4πx

2

=4π(Q+q)

E=

x

2

Q+q