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Three conducting spheres A, B and C are as shown in figure. The radii of the spheres are a, b and c respectively. A and B are connected by a conducting wire. The capacity of the system is

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$4 {πε}_{0} (a + b + c)$

$4 {πε}_{0} (\frac{bc}{c - b})$

$4 {πε}_{0} (\frac{1}{a} + \frac{1}{b} + \frac{1}{c})$

$4 {πε}_{0} (\frac{abc}{ab + bc + ca})$

answer is B.

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Detailed Solution

The given system is equivalent to a spherical capacitor of inner radius b and outer radius c. Hence, the capacity of the system will be $4 {πε}_{0} (\frac{bc}{c - b})$

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