Question

The rate of change of potential difference across the plates of capacitor is.
(a). Displacement current
(b). Capacitance
(c). Energy density
(d). Displacement current per unit capacitance​

Answer 1

C = Q/V

Q = C * V

dQ/dt = C * dV/dt

I = C * dV/dt

dV/dt = I/C

=> Answer is D) Displacement current per unit capacitance..

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Answer 2

The rate of change of potential difference across the plates of capacitor is displacement current per unit capacitance.

(d) is correct option

Explanation:

We know that,

The displacement current is

$I=\dfrac{dQ}{dt}$

We need to calculate the rate of change of potential difference across the plates of capacitor

Using formula of charge

$Q = CV$....(I)

Where, C = capacitor

V= potential difference    

Q = charge

On differentiation with respect to t equation (I)

$\dfrac{dQ}{dt}=C\dfrac{dV}{dt}$

$I=C\dfrac{dV}{dt}$

$\dfrac{dV}{dt}=\dfrac{I}{C}$

Hence, The rate of change of potential difference across the plates of capacitor is displacement current per unit capacitance.

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Topic : displacement current

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