# Induced charge!

A point charge $$q$$ is held at a distance $$d$$ above an infinite grounded conducting plane . A certain amount of charge is induced on the grounded conductor due to the presence of the point charge . Considering the grounded conductor to be in the $$x-y$$ plane and the point charge q at $$( 0,0, d)$$ , evaluate the surface charge density $$\sigma (x,y)$$ induced on the conducting plane . Enter the answer as the value (with sign) of $$( \sigma ( 3,4 ) × 10^3 )$$ in $$C/m^2$$

Details and assumptions :

• $$d = 5 m$$

• $$q = 1 C$$

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