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A point charge q is placed at some distance d away from the centre of a grounded conducting sphere of radius r , as shown in the figure. The charge that flows from the earth to the sphere is

Options

  1. A- q r d - r
  2. B- q d d - r
  3. C- q r d
  4. D- q d r

Correct answer

C. - q r d

Step-by-step solution

Let us assume that the charge flowing from earth to the sphere is q 1 . Since the sphere is grounded, its potential will be zero. Hence, q 1 4 π ε 0 r + q 4 π ε 0 d = 0 q 1 = - q r d

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