Power Factor — Prelims Questions

An AC circuit consists of a resistor $R = 10,Omega$ and an inductor $L = 0.1,\text{H}$ connected in series to an AC source with angular frequency $omega = 100,\text{rad/s}$. What is the power factor of the circuit?

In an AC circuit, the instantaneous voltage is $V = 200 sin(100t)$ Volts and the instantaneous current is $I = 5 sin(100t + pi/3)$ Amperes. What is the power factor of the circuit?

A series RLC circuit is at resonance. What is its power factor?

An AC source supplies $100,\text{W}$ of real power to a load with an apparent power of $200,\text{VA}$. What is the power factor of the load?

A capacitor is connected in series with a resistor. If the capacitive reactance is $X_C = 10,Omega$ and the resistance is $R = 10,Omega$, what is the phase angle between the voltage and current?

Which of the following statements is true regarding the power factor of a purely inductive circuit?