GATE EC 2014 Set 1 — Question 35
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Electromagnetics → Maxwell's Equations → Boundary Conditions
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Question
The force on a point charge kept at a distance from the surface of an infinite grounded metal plate in a medium of permittivity is
Correct answer
(C) (q²)/(16πε d²) towards the plate
Solution
Using the method of images, a point charge at a distance from an infinite grounded conducting plate can be replaced by the original charge and an image charge placed at a distance on the opposite side of the plate. The total distance between the original charge and its image is . The force between these two charges is given by Coulomb's law:The negative sign indicates that the force is attractive, meaning the point charge is pulled towards the grounded metal plate. Thus, the magnitude of the force is and its direction is towards the plate.
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