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PhysicsNEET 2025Displacement current and Maxwell's equations (qualitative)

Electromagnetic Waves

A parallel plate capacitor made of circular plates is being charged such that the surface charge density on its plates is increasing at a constant rate with time. The magnetic field arising due to the displacement current is:

  1. A.Zero at all places
  2. B.Constant between the plates and zero outside the plates
  3. C.Non-zero everywhere, with a maximum at the imaginary cylindrical surface connecting the peripheries of the plates✓
  4. D.Zero between the plates and non-zero outside

Solution

The growing electric field between the plates is a displacement current, and by Ampère–Maxwell it produces a magnetic field that grows with distance from the axis up to the plate edge and then falls as outside — non-zero everywhere, maximum at the rim.

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