A capacitor is placed in parallel with two inductive loads one of

20 amp at 30° lag and one of 40 amp at 60° lag. What must be the current in the capacitor so that the current from the external circuit shall be at unity power factor, 4. Three parallel branches each containing one pure element have an applied voltage v = 200 sin 1000 t volts. The branches contain R = 300 oms, L = 0.5 H and C = 10 uf respectively. Find the total current the angle between and the applied voltage and the magnitude of impedance.