Home Physics Electrostatics Potential & Capacitance General A point charge q is located at a distance λ …
Physics Electrostatics Potential & Capacitance General MCQ (Single Correct)

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.

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The 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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