At what frequency would a capacitor of 2.5μF used in radio circuit have a resistance of 250Ω?

A. π/800 Hz
B. 800/π Hz
C. 200π Hz
D. 2000π Hz

Correct Answer:

Option B – 800/π Hz

Explanation

Capacitive Reactance =	1
	2π + C

=> 250 =	1
	2 x π x f x 2.5 x 10⁶

∴ ²⁵⁰/₁ = ¹⁰⁶/_5.0xf

=> F =	10⁶
	250 x 5.0 x π

=	10⁶
	1250π

800/π