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MHT CET 202625 AprilEvening Shift
Exam
MHT CET
Year
2026
Date
25 April
Shift
Evening Shift
Subject
Physics
Chapter
Capacitance

MHT CET 2026 · 25 April · Evening Shift · Physics · Capacitance

A parallel plate capacitor with capacitance 1\ is being charged at...

A parallel plate capacitor with capacitance 1 μF1\ \mu\text{F} is being charged at a rate such that the potential difference across it changes at 106 V/s10^6\ \text{V/s}. The instantaneous displacement current between the plates is

Options

  1. A0 A0\ \text{A}
  2. B0.1 A0.1\ \text{A}
  3. C1 A1\ \text{A}
  4. D10−2 A10^{-2}\ \text{A}

Correct answer

C. 1 A1\ \text{A}

Step-by-step solution

The displacement current IdI_d between the plates of a capacitor is given by

Id=ε0dΦEdtI_d = \varepsilon_0 \dfrac{d\Phi_E}{dt}

Since the electric flux ΦE=EA=VdA\Phi_E = EA = \dfrac{V}{d}A, we have

Id=ε0AddVdt=CdVdtI_d = \varepsilon_0 \dfrac{A}{d} \dfrac{dV}{dt} = C \dfrac{dV}{dt}

Given C=1 μF=10−6 FC = 1\ \mu\text{F} = 10^{-6}\ \text{F} and dVdt=106 V/s\dfrac{dV}{dt} = 10^6\ \text{V/s}

Id=10−6×106=1 AI_d = 10^{-6} \times 10^6 = 1\ \text{A}

Answer: 1 A1\ \text{A}
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