JEE Main · 2025 · 07 Apr 2025 · Shift 1 · Electrostatics

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ϵ_{0}

denotes the permittivity of free space and

Φ_{E}

is the flux of the electric field through the area bounded by the closed surface, then dimension of

(ϵ_{0} \frac{d ϕ _{E}}{d t})

are that of:

(A)Electric field
(B)Electric potential
(C)Electric charge
(D)Electric current✓ Correct

Answer: (D)

Solution

The quantity

ϵ_{0} \frac{d Φ _{E}}{d t}

is Maxwell's displacement current, the term added to Ampere's law so that a changing electric flux acts as a source of magnetic field just as a conduction current does. Being a current, it carries the dimensions of current.
The dimensions are those of electric current.

JEE Main · 2025 · 07 Apr 2025 · Shift 1 · Single correct option

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