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Q.

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

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a

$\frac{4 {πε}_{0} ab}{b - a}$

b

$4 {πε}_{0} (a + b)$

c

$4 {πε}_{0} b$

d

$4 {πε}_{0} a$

answer is C.

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Detailed Solution

The charge given to inner sphere will pass to the outer sphere. So, the capacitance of outer sphere will be $4 {πε}_{0} b$ .

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