Chapter 24, Problem 93GP

An RC circuit consists of a resistor R = 32 Ω, a capacitor C = 25 μF, and an ac generator with an rms voltage of 120 V. (a) At what frequency will the rms current in this circuit be 2.9 A? For this frequency, what are (b) the rms voltage across the resistor, V_rms,R, and (c) the rms voltage across the capacitor, V_rms,C? (d) Show that V_rms,R + V_rms,C > 120 V, but that $\sqrt{V_{rms,R}^2+V_{rms,C}^2}=120\text{V}$.