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JEE Main 2025 (7 Apr, Shift 1) · Displacement Current, Maxwell's Equations & Production

Displacement Current, Maxwell's Equations & Production question from JEE Main 2025 (7 Apr, Shift 1)

Q4JEE Main 2025 · 7 APR · SHIFT 1Easy

Displacement Current, Maxwell's Equations & Production

If ϵ0\epsilon_0 denotes the permittivity of free space and ΦE\Phi_E is the flux of the electric field through the area bounded by the closed surface, then dimensions of (ϵ0dϕEdt)\left(\epsilon_0 \frac{d\phi_E}{dt}\right) are that of:

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Answer: (c)

  1. Maxwell's displacement current is Id=ϵ0dϕEdtI_d = \epsilon_0 \dfrac{d\phi_E}{dt}.
  2. It enters Ampere-Maxwell law alongside the conduction current II, so it has the same dimensions [A][A].
  3. So the answer is (c) electric current.
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