A 42.8-?F capacitor is connected across a 57.0-Hz generator. An inductor is then connected in parallel with the capacitor. What is the value of the inductance if the rms currents in the inductor and capacitor are equal?I have the equations Xc1/2(pi)fC for Capacitive reactance and I have XL2(pi)fL for Inductive reactance but I do not know how to relate the two equants for this problem.
To solve you need two additional equations, Vrms Irms*XL and Vrms Irms*Xc. (I being current) According to the question your currents are equal, so solve for Irms for the two provided equations using your values for Xc and Xl (L is the only value you do not have), then set them equal to each other. Vrms / (2 * pi * f * L) Vrms (2 * pi * f * c), solve for L which cancels your Vrms leaving you with L 1/ ((2 * pi * f)^2 * C)
