An alternating voltage of `220` volts `r.m.s.` at a freqency of `40` cycles/sec is supplied to a circuit containing a pure inductance of `0.01 H` and a pure resistance of `6 ohms` in series.Calculate (i)the current , (ii)potential diffence across the resistance, (iii)potential difference across the inductance, (iv)the time lag, (v)power factor.