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Physics - Capacitor Question with Solution | TestHub

PhysicsCapacitorCapacitanceEasy2 minPYQ_2026

PhysicsEasysingle choice

A parallel plate capacitor with capacitance $1 μ F$ is being charged at a rate such that the potential difference across it changes at $1 0^{6} V/s$ . The instantaneous displacement current between the plates is

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Answer:

Solution:

The displacement current $I_{d}$ between the plates of a capacitor is given by

$I_{d} = ε_{0} \frac{d Φ _{E}}{d t}$

Since the electric flux $Φ_{E} = E A = \frac{V}{d} A$ , we have

$I_{d} = ε_{0} \frac{A}{d} \frac{d V}{d t} = C \frac{d V}{d t}$

Given $C = 1 μ F = 1 0^{- 6} F$ and $\frac{d V}{d t} = 1 0^{6} V/s$

$I_{d} = 1 0^{- 6} \times 1 0^{6} = 1 A$

Answer: $1 A$

Stream:MHT_CET_MEDICALSubject:PhysicsTopic:CapacitorSubtopic:Capacitance

⏱ 2mℹ️ Source: PYQ_2026

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