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Surface Integral

Two spherical...

Question

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 :

4 ϵ_{0} \frac{a b}{b - a}

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4 ϵ_{0} (a + b)

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4 ϵ_{0} b

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4 ϵ_{0} a

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Solution

The correct option is D $4 ϵ_{0} b$
All the charge given to inner sphere will pass on to the outer one. So capacitance that of outer one is $4 ϵ_{0} b$ .

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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 :

The correct option is D 4ϵ0bAll the charge given to inner sphere will pass on to the outer one. So capacitance that of outer one is 4ϵ0b.

The correct option is D $4 ϵ_{0} b$
All the charge given to inner sphere will pass on to the outer one. So capacitance that of outer one is $4 ϵ_{0} b$ .