Final answer:
The reactive power of a capacitor with an rms current of 26 A and an rms voltage of 370 V is 9620 volt-amperes reactive (VAR).
Step-by-step explanation:
The student asked what the reactive power of a capacitor is, given a root mean square (rms) current of 26 A and a rms voltage of 370 V. Reactive power (Q) can be calculated using the formula Q = Vrms * Irms * sin(ϕ), where Vrms is the rms voltage across the capacitor, Irms is the rms current through the capacitor, and ϕ is the phase angle between the current and voltage. In an ideal capacitor, the current leads the voltage by 90 degrees (or π/2 radians), meaning sin(ϕ) is 1. Therefore, for an ideal capacitor, the reactive power Q is simply the product of the rms voltage and rms current.
Q = Vrms × Irms
Q = 370 V × 26 A
Q = 9620 VAR
Thus, the reactive power of the given capacitor is 9620 volt-amperes reactive (VAR).