Question

A series RC circuit has a resistance of 200 ohm and a capacitance of 25 mF and is driven by a 120 V, 60 Hz source. (a) Find the capacitive reactance of the circuit.

Answer 1

Given:

The resistance is,

$R=200\text{ ohm}$

The capacitance is,

$\begin{gathered} C=25\text{ mF} \\ =25\times10^{-3}\text{ F} \end{gathered}$

The applied voltage is,

$V=120\text{ V}$

The frequency of the AC is,

$f=60\text{ Hz}$

To find:

The capacitive reactance

Explanation:

The capacitive reactance is,

$\begin{gathered} X_C=\frac{1}{2\pi fC} \\ =\frac{1}{2\pi\times60\times25\times10^{-3}} \\ =0.106\text{ ohm} \end{gathered}$

Hence, the capacitive reactance is 0.106 ohm.