Three identical metallic uncheged spheres A, B, and C, each of radius a, are kept at the corners of an equilateral triangle of side d(d gt gt a) as shown in (Fig. 3.137). The fourth sphere (of radius a), which has a charge q, touches A and is then removed a position far away. B is earthed and then the earth connection is removed. C is then earthed. The charge on C is .

Three identical metallic uncheged spheres A, B, and C, each of radius

1.	Three identical metallic uncheged spheres A, B, and C, each of radius a, are kept at the corners of an equilateral triangle of side d(d gt gt a) as shown in (Fig. 3.137). The fourth sphere (of radius a), which has a charge q, touches A and is then removed a position far away. B is earthed and then the earth connection is removed. C is then earthed. The charge on C is .
Answer» `(Q a)/(2 d)((2 d - a)/(2 d))` `(q a)/(2 d)((2 d - a)/( d))` `-(q a)/(2 d)(( d - a)/( d))` `-(2 q a)/( d)(( d - a)/(2 d))` SOLUTION :`(K q_1)/a + (k q)/(2 d) = 0` or `q_1 = (-q a)/(2 d)` `(k q_2)/a + (KQ)/( 2d) + (k q_1)/d = 0` or `q_2 = (-q a)/(2 d)((d - a)/d)` .

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