Calculate the capacitance of a condenser to be connected in series with 100-V 80-W lamp to enable it to be used on 200-V, 50 Hz supply.

At what frequency will the inductive reactance of a 0.0211-H inductor be equal to the capacitive reactance of 75 uF capacitor?

The following information is given in connection with an AC source that delivers current to three loads in parallel: Ia = 20 A; Ib = 12 A and lags behind Ia by 30°; Ic = 32 A and leads Ia by 60°. Solve the total current.

A 250 V, 30 Hz generator supplies power to a parallel circuit consisting of a 20hp motor whose efficiency is 90% at 0.8 pf lagging and a second load that draws an apparent power of 7 kVA at unity pf. Determine the system power factor.

A coil consumes 2000 watts while drawing a current of 25 A from a 110-V, 100-Hz AC source. Determine the capacitance of the capacitor to be connected in parallel with the coil in order to make the total current be in phase with the supply voltage.