$The diagram above illustrates an a.c.source of 50V(r.m.s.), $\frac{100}{\pi}$Hz connected in series with an 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$

The diagram above illustrates an a.c.source of 50V(r.m.s.), $\frac{100}{\pi}$Hz connected in series with an 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

1.33

1.25

0.80

0.75

0.60

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Correct answer is C

cos$\theta = \frac{R}{Z}$

R = $\frac{V}{I} = \frac{40}{2} = 20$

Z² = R² + $^X_L$² = 20² + 15² = √625 = 25

cos $\theta = \frac{R}{Z} = \frac{20}{25} = 0.8$

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The diagram above illustrates an a.c.source of 50V(r.m.s.), \(\frac{100}{\pi}\)Hz connected in series with an 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

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