Question

Calculate the reactance of a 0.5 F capacitor that is connected to a battery with peak voltage 2 V and angular frequency 200 radians/s.

Answer 1

Reactance of the capacitor is 0.01 ohms.

Step-by-step explanation:

It is given that,

Capacitance of the capacitor is 0.5 F

Peak voltage of the battery is 2 V

Angular frequency is 200 rad/s

We need to find the capacitive reactance. The capacitive reactance is due to the capacitor in the circuit. It is given by :

`X_c=(1)/(\omega C)\\\\X_c=(1)/(200* 0.5)\\\\X_c=0.01\ \Omega`

So, the reactance is 0.01 ohms.