A point charge q is located at a distance λ from an infinite conducting plane. Determine the surface density of charges induced on the plane as a function of separation r from the base of the perpendicular drawn to the plane from the charge.
Text Solution
Verified by ExpertsThe correct answer is:
CHECK THE SOLUTION.
σ =
, q ind = –q
Sol.


E net at point :
E net = 2E q cos θ
= 
E net = 
At point P field due to conducting sheet charge will he half of above calculated E net :



Calculation of charge induced on sheet:
dq in = 62πrdr

q in = –q
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