A coil is connected in series with a non-inductive resistance of 30 Ω across 240 V, 50 Hz supply. The reading of a voltmeter across the coil is 180 V, and across the resistance is 130 V. Calculate
(i) power absorbed by the coil
(ii) inductance of the coil
(iii) resistance of the coil (iv) power factor of the whole circuit also draw a phasor diagram.