The frequency for which a $5 \mu \mathrm{F}$ capacitor has a reactance of $\frac{1}{1000} \Omega$ is given by

Question

Aicharya · Accepted Answer

Concept: reactance of capacitor is $X_c=\frac{1}{\omega c}=\frac{1}{2 \pi f C}$ Given $X_c=10^{-3} \Omega, C=5 	imes 10^{-6} \mathrm{~F}$ $\begin{aligned} & 	herefore 10^{-3} \Omega=\frac{1}{2 \pi \mathrm{f}\left(5 	imes 10^{-6}ight)} \ & \Rightarrow \mathrm{f}=\frac{1}{10 \pi 	imes 10^{-9}} \mathrm{~Hz}=\frac{10^8}{\pi} \mathrm{Hz}=\frac{100}{\pi} \mathrm{MHz} \end{aligned}$

The frequency for which a $5 \mu \mathrm{F}$ capacitor has a reactance of $\frac{1}{1000} \Omega$ is given by

Solution