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*10^(-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

Step-by-step explanation:

The capacitive reactance is,

`\begin{gathered} X_C=(1)/(2\pi fC) \\ =(1)/(2\pi*60*25*10^(-3)) \\ =0.106\text{ ohm} \end{gathered}`

Hence, the capacitive reactance is 0.106 ohm.