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Question

Physics Question on Displacement current

Displacement current is caused due to

A

a time varying electric filed

B

a constant electric field

C

free electrons flow

D

all of the above

Answer

a time varying electric filed

Explanation

Solution

As, displacement current,
Id=ε0dϕdt...(i)I_{d} = \varepsilon_{0} \frac{d\phi}{dt} \quad...\left(i\right)
Where, ϕ= \phi = electric flux
ϕ=E.A\because \phi = E . A
For area, A=A = constant
dϕ=AdE...(ii)\therefore d\phi = A \,dE \quad...\left(ii\right)
From Eqs. (i)\left(i\right) and (ii)\left(ii\right), we get Id=ε0AdEdtI_{d} = \varepsilon_{0}A \frac{dE}{dt}
So, time varying electric field generates the displacement current