Question

In a spherical capacitor of inner radius a and outer radius 2a, dielectric strength of medium is E0. The maximum potential to which capacitor can be charged, is

Answer 1

Answer:E0a/2

Explanation:

E0 = K/a^2

dv  = $\int\limits^ a_a {K/r^2} \, dr$

upper limit is 2a not a

V = k/2a = E0a/2

Answer 2

The value of maximujm potential to which capacitor can be charged is V = Eo a /2.

Explanation:

We are given that:

• The radius of the inner sphere = a
• The radius of outer-sphere = 2a

• To Find: The maximum potential to which capacitor can be charged "V"= ?

Solution:

E0 = K/a^2

dv  = ∫a -a K / r^2.dr

Here the upper limit is 2a not a

Now putting the values we get

V = k/2a = Eoa/2

Thus the value of maximujm potential to which capacitor can be charged is V = Eo a /2