Question 172: EM waves

Question

The displacement current of 4.425 $\mu$A is developed in the space between the plates of parallel plate capacitor when voltage is changing at a rate of 10
6
Vs
$-$1
. The area of each plate of the capacitor is 40 cm
2
. The distance between each plate of the capacitor is x $	imes$ 10
$-$3
m. The value of x is __________.
(Permittivity of free space, E
0
= 8.85 $	imes$ 10
$-$12
C
2
N
$-$1
m
$-$2
).

Accepted Answer

$4.425\,\mu A = {{{E_0}A} \over d} 	imes {{dV} \over {dt}}$
$ \Rightarrow d = {{8.85 	imes {{10}^{ - 12}} 	imes 40 	imes {{10}^{ - 4}}} \over {4.425 	imes {{10}^{ - 6}}}} 	imes {10^6}$
$ \Rightarrow d = 8 	imes {10^{ - 3}}$ m
$ \Rightarrow x = 8$

EM waves

Integer / Numeric Answer Type