Question:

The rms value of the conduction current in a parallel plate capacitor is 6.9 μA. The capacity of this capacitor, if it is connected to 230 V ac supply with an angular frequency of 600 rad/s, will be :

Updated On: Jul 8, 2024
  • 5 pF

  • 50 pF

  • 100 pF

  • 200 pF

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The Correct Option is B

Solution and Explanation

Current in capacitor I=\(\frac{V}{X}\)C
I=(V)×(ωC)
C=\(\frac{I}{V\omega}\)=\(\frac{6.9×10^{−6}}{230×600}\)
=50 pF

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Concepts Used:

Displacement Current

Displacement current is a quantity appearing in Maxwell’s equations. Displacement current definition is defined in terms of the rate of change of the electric displacement field (D). It can be explained by the phenomenon observed in a capacitor.

Displacement Current