A large parallel plate capacitor, whose plates have an area of 1 m2 and are separated from each other by 1 mm, is being charged at a rate of 25 Vs−1 . If the dielectric between the plates has the dielectric constant 10, then the displacement current at this instant is
Answer & explanation
Correct answer: option 3
$C=\frac{ε_0KA}{d}=\frac{(8.85×10^{-12})×10×1}{10^{-3}}$
$ = 8.85 × 10^{-8} F$
$ i =\frac{d}{dt}(CV) = C\frac{dV}{dt} = 8.85 × 10^{-8} ×25 $
$ = 2.2 × 10^{-6} A$