A coil of inductance 0.50 H, and resistance `100Omega` is connected to a 240V, 50Hz ac supply
What is the time lag between the voltage maximum and the current maximum?

Explanation

`tanphi=(X_(L))/(R)=(157.1)/(100)=1.571`
i.e., `phi=57.5^(@)`
i.e., `phi=omegat" "1^(@)=(pi)/(180)rad`
or `t=(phi)/(omega)" "57.5^(@)=(57.5xxpi)/(180)rad`
`t=(0.319cancelpi)/(2cancelpif)` where, `omega=2pif=0.319pirad`
i.e., `t=(0.319)/(2xx50)=3.19xx10^(-3)s`
`t=3.19ms`