A 3000 pF power capacitor has maximum power and voltage ratings of 200 kV A and 15 kV respectively. Its dissipation factor can be assumed to be constant at 0.001. Under particular ambient conditions, and operating at 5 kV (r.m.s.) and 100 kHz, its temperature is 10 °C above the 30 °C of the surroundings. Assuming the same ambient conditions, estimate the temperature of the unit when it is operating at
(i) 5 kV (r.m.s.) and 300 kHz and
(ii) 10 kV (r.m.s.) and 150 kHz. Calculate the reactive current carried by the capacitor, the e.s.r. and the dissipated power under each of the two operating conditions