The current i(t) through a 10 Ω resistor in series with an inductance is given by i(t) = 3 + 4 sin(100t + 45°) + 4 sin(300t + 60°) amperes. The RMS value of the current and the power dissipation in the resistor are respectively:

In an inductive circuit, a resistance of 2 Ω is connected in series with an inductor having an inductive reactance of 4 Ω. Determine the power factor of the circuit when connected to a single-phase AC supply.

A capacitor draws a reactive power of 100 VAR due to a current of 0.87 A. Determine the capacitive reactance (XC) of the capacitor.