Question

A capacitor of capacitance $0.5\mu F$ is connected to a source of alternating electromagnetic force of frequency $100Hz$. What is the capacitive reactance? ($\pi =3.142$)

Answer 1

In alternating current$AC$ circuit the opposition to the flow of current is known as impedance. In $DC$ it is only resistance.

The impedance offered by capacitor or inductor is known as reactance.

Capacitive reactance is given by $X_C=\frac{1}{2\pi fC}=$

$C=0.5\times {10}^{-6}F$ $f=100Hz$ $X_C=?$

$\therefore X_C=(2\times 3.142\times 100\times 0.5\times {10}^{-6}{)}^{-1}$

$\frac{{10}^4}{3.142}=3182.686$ $Ohms$