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The diagram below illustrates an a c source of ... - WAEC Physics 1998 Question

The diagram below illustrates an a.c.source of 50V(r.m.s.), \(\frac{100}{\pi}\)Hz connected in series with an inductor of inductor of inductance L and a resistor of resistance R. The current in the circuit is 2A and the p.d across L and R are 30V and 40V respectively. Calculate the power factor of the circuit
A
1.33
B
1.25
C
0.80
D
0.75
correct option: e

cos(\theta = \frac{R}{Z})

R = (\frac{V}{I} = \frac{40}{2} = 20)

Z = R2 + (^X_L) = 202 + 152 = 300

cos (\theta = \frac{R}{Z} = \frac{20}{300} = 0.06)

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