A non-inductive resistor is connected in series with a

coil across a 230 V, 50 Hz supply. The current is 1.8 A
and the potential differences across the resistor and
the coil are 80 V and 170 V respectively. Calculate the
inductance and the resistance of the coil, and the phase
difference between the current and the supply voltage.
Also draw the phasor diagram representing the cur￾rent and the voltages.

1 answer

wikipedia's fine article on RL circuits has all the formulas and discussions you should need for this problem.