Two spherical conductors A and B of radii a and b (b > a) are placed concentrically in air. two a

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2. Electric Potential and Capacitance

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Two spherical conductors $A$ and $B$ of radii $a$ and $b$ $(b > a)$ are placed concentrically in air. The two are connected by a copper wire as shown in figure. Then the equivalent capacitance of the system is

A

$4\pi {\varepsilon _0}\frac{{ab}}{{b - a}}$

B

$4\pi {\varepsilon _0}(a + b)$

C

$4\pi {\varepsilon _0}b$

D

$4\pi {\varepsilon _0}a$

(AIIMS-2017)

Solution

All the charge given to inner sphere will pass on to the outer one. So capacitance that of outer one is $4\pi {\varepsilon _0}b$.

Standard 12

Physics

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