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  4. 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 is as shown in figure. The equivalent capacitance of the system is

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Q. 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 is as shown in figure. The equivalent capacitance of the system isPhysics Question Image

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Solution:

The charge given to inner sphere will pass to the outer sphere. So, the capacitance of outer sphere will be $4 \pi \varepsilon_0 b$. (As capacitance due to spherical conductor is $4 \pi \varepsilon_0 r$, where $r$ is radius of conductor)