Question

A series circuit consists of a 50Hz AC source, a 40-ohm resistor, an inductor, and a capacitor. The RMS current in the circuit is measured to be 1.6A. What is the power factor?

a) 0.8
b) 0.6
c) 0.4
d) 0.2

Answer 1

The power factor in the series circuit can be calculated using the formula cos(θ) = R / Z, where R is the resistance and Z is the impedance. In this case, the power factor is 0.8.

Step-by-step explanation:

In a series circuit with a resistor, inductor, and capacitor, the power factor can be calculated using the formula:

power factor = cos(θ) = R / Z

where R is the resistance, Z is the impedance, and θ is the phase angle.

In this case, the power factor can be calculated as:

power factor = 40Ω / 50Ω = 0.8

Therefore, the correct answer is a) 0.8.