Units & Dimensions

JEE Main level, single correct, medium

32 of 149

Question 32 of 149

If ϵ0\epsilon_0 denotes the permittivity of free space and ΦE\Phi_{\mathrm{E}} is the flux of the electric field through the area bounded by the closed surface, then dimension of (ϵ0 dϕEdt)\left(\epsilon_0 \frac{\mathrm{~d} \phi_{\mathrm{E}}}{\mathrm{dt}}\right) are that of :

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Answer: (D) Electric current

We know that formula for displacement current is given by
id=ε0 dϕεdt\mathrm{id}=\varepsilon_0 \frac{\mathrm{~d} \phi_{\varepsilon}}{\mathrm{dt}}

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