JEE Main 2025 Apr 7 Shift 1, Physics Q5: Electromagnetic Induction

JEE Main2025Apr 7, Shift 1Physics

If $ε_{0}$ 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

Solution

Recall Maxwell's displacement-current term. Ampere-Maxwell's law introduces the quantity

$i_{d} = ε_{0} \frac{d Φ _{E}}{d t}$

defined as the displacement current. By construction, $i_{d}$ has the dimensions of ordinary electric current, so the given expression carries the dimension of electric current.

$∴$ Option (4).

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