Question 170: 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 106 Vs$$-$$1. The area of each plate of the capacitor is 40 cm2. The distance between each plate of the capacitor is x $$	imes$$ 10$$-$$3 m. The value of x is __________.
(Permittivity of free space, E0 = 8.85 $$	imes$$ 10$$-$$12 C2 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

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