A small test charge of + 1 n C is 10 m from thestationary copper ball 10 cm in d

Question

A small test charge of + 1nC is 10 m from thestationary copper ball 10 cm in diameter with unknown charge. Thetest charge is pulled toward the ball with a force of 0.45 N. a. What is the electric field on the test charge? b. Calculate the charge on the stationary ball from theelectric field? A small test charge of + 1nC is 10 m from thestationary copper ball 10 cm in diameter with unknown charge. Thetest charge is pulled toward the ball with a force of 0.45 N. a. What is the electric field on the test charge? b. Calculate the charge on the stationary ball from theelectric field?

Explanation / Answer

   a.   Force on test charge  =   q * E

        0.45    =   1.0 * 10-9 * E

     E   =   0.45 / 1.0* 10-9    =   4.5 *108 N/C

b. E = (1/40) *Q / r2

      4.5 *108   =   9.0 * 109* Q / 102

     charge Q = 45 /9.0   =   5.0 C

   ( Since the sphere is far away from test charge,all the charge can be assumed at the centre of sphere)

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