First slide

Phasors and Phasor Diagrams

Question

When 100 volt DC is applied across a solenoid, a current of 1.0 amp flows in it. When 100 volt AC is applied across the same coil, the current drops to 0.5 amp. If the frequency of the AC source is 50 Hz then power factor of the circuit is

Moderate

A

$0.33$
B

0.25
C

$0.2$
D

$0.5$

Solution

in dc only resistance will come into play $R = \frac{100}{1} = 100 o h m$ in A.C impedance will be considered Z= $\frac{100}{0.5} = 200 o h m s$
power factor $\frac{R}{Z} = \frac{100}{200} = 0.5$

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