Final answer:
The power factor for a circuit with a resistance of 50Ω and an impedance of 100Ω is 0.5.
Step-by-step explanation:
The power factor in a circuit is defined as the ratio of the real power flowing to the load to the apparent power in the circuit, and it is a measure of how effectively the current is being converted into useful work output. It is usually represented by the cosine of the phase angle (φ) between the current and voltage. The power factor can be calculated as the ratio of resistance (R) to impedance (Z), which in this case are given as 50Ω and 100Ω, respectively.
To calculate the power factor, we use the formula power factor = R / Z. So, for R = 50Ω and Z = 100Ω, the power factor is 50Ω / 100Ω = 0.5.