Q. 25.0( 1 Vote )

# Displacement current goes through the gap between the plates of a capacitor when the charge of the capacitorA. increasesB. decreasesC. does not changeD. is zero

Explanation: The displacement current depends on the changing

electric flux across the capacitor plates. Due to the charging of the

capacitor, the charge varies on the capacitor plates with time. Due

to this, the electric flux also varies with time. The relation between

the displacement current and the electric flux is given as where ϕE is the time varying electric flux through the plane surface,

ϵ0 is the electric permittivity of free space(vacuum) and is equal

to 8.85 × 10-12 C2 N-1 m-2 and Id is the displacement current.

The electric flux is given by Gauss’s law as The displacement current then becomes  which is dependent on charge. If the charge is zero, then the R.H.S

would be zero so D. is incorrect. If the charge doesn’t change with

time so its derivative w.r.t time will be zero and so will be the

current, so C. is zero. For R.H.S to be non-zero, the charge must vary with time i.e. increase or decrease, hence A. and B. are correct.

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