Question

A capacitor of 50 micro Farad is connected to a supply of 220 volt and angular frequency of 50 rad/s. The value of rms current in the circuit is
0.45 A

0.50 A

0.55 A

0.60 A​

Answer 1

Given info : A capacitor of 50 μF is connected to a supply of 220 volts and angular frequency of 50 rad/s.

To find : the value of rms current in the circuit is ..

solution : capacitance of the capacitor, C = 50μF

potential difference, V = 220 volts

and angular frequency, ω = 50 rad/s

capacitive reactance, $X_C=\frac{1}{\omega C}$ = $\frac{1}{50 rad/s\times50\times10^{-6}F}$ = 400Ω

we know, the rms curren in the circuit , $i_{rms}=\frac{V_{rms}}{X_C}$

= 220 volts/400Ω

= 0.55 A

therefore the rms current in the circuit is 0.55A. so the correct option is (c)0.55A