If the electric potential of the inner sphere | vedclass

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(A) Let the radius of the inner sphere be $a$ and the radius of the outer shell be $b$. Let the charge on the inner sphere be $q_1$ and the charge on

Vedclass · Accepted Answer

$10$

Vedclass · Answer

(A) Let the radius of the inner sphere be $a$ and the radius of the outer shell be $b$. Let the charge on the inner sphere be $q_1$ and the charge on the outer shell be $q_2$.The potential at the surface of the inner sphere is given by: $V_a = \frac{kq_1}{a} + \frac{kq_2}{b} = 10\, V$.The potential at the surface of the outer shell is given by: $V_b = \frac{kq_1}{b} + \frac{kq_2}{b} = 50\, V$.The potential at the common centre $O$ is given by: $V_O = \frac{kq_1}{a} + \frac{kq_2}{b}$.Comparing this with the expression for $V_a$,we see that the potential at the centre is equal to the potential at the surface of the inner sphere.Therefore,$V_O = 10\, V$.

If the electric potential of the inner sphere is $10\, V$ and that of the outer shell is $50\, V$,then the potential at the common centre is :- (in $, V$)

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