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MHT CET · Physics · Electromagnetic Waves

A parallel plate capacitor with plate area \(A\) and plate separation \(d\) is charged by constant current I. A plane surface of area \(\mathrm{A} / 2\), parallel to the plates is drawn simultaneously between the plates. The displacement current through this area is

  1. A I
  2. B \(\frac{\mathrm{I}}{2}\)
  3. C \(\frac{\mathrm{I}}{4}\)
  4. D \(\frac{\mathrm{I}}{8}\)
Verified Solution

Answer & Solution

Correct Answer

(B) \(\frac{\mathrm{I}}{2}\)

Step-by-step Solution

Detailed explanation

Total displacement current through area \(A\) is \(I_{total} = I\). Displacement current density \(J_d = \frac{I_{total}}{A} = \frac{I}{A}\).