Question

take charge q from distance d in front of infinite, grounded conducting plane to infinite distance from the plane?

Answer 1

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The work done in this problem can be found by the method of images in electrostatics.

The result is

Work done, W=-(k)(q^2/4d), where, k=(1/4 pi eo) with eo, the permittivity of space =8.85x10^-12C^2/(N m^2).