Question

A series LCR circuit is connected to an ac source of $220\, V , 50\, Hz$ The circuit contain a resistance $R =100\, \Omega$ and an inductor of inductive reactance $X _{ L }=796\, \Omega$ The capacitance of the capacitor needed to maximize the average rate at which energy is supplied will be ________$\mu F$

Answer 1

The correct answer is 40.
To maximize the average rate at which energy supplied i.e. power will be maximum.
So in LCR circuit power will be maximum at the condition of resonance and in resonance condition
XL​=XC​
79.6=ωC1​
∴C=2π×50×79.61​
∴C=40μF