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Two sinusoidal e.m.f.s of peak values 50 V and 20 V respectively but differing in phase...

Two sinusoidal e.m.f.s of peak values 50 V and 20 V respectively but differing in phase by 30° are induced in the same circuit. Draw the phasor diagram and find the peak and r.m.s. values of the resultant e.m.f.

A coil takes a current of 10.0 A and dissipates 1410 W when connected to a 230 V, 50 Hz sinusoidal supply. When another coil is connected in parallel with it, the total current taken from the supply is 20.0 A at a power factor of 0.866. Determine the current and the overall power factor when the coils are connected in series across the same supply.

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