An input voltage signal of the form DV_s(t) = (120 V) sin(wt) with a linear frequency f = 2.5 kHz is applied across a capacitor, as shown in the figure below. The maximum value of the current measured in the circuit is found to be I_max = 2.7 mA.

(a) What is the angular frequency of the applied voltage signal? (b) What is the impedance magnitude for the capacitor in this circuit? (c) What is the value of the capacitance of the capacitor?

Answers: (a) 1.6 x 10⁴ rad/s   (b) 44 kW   (c) 1.4 nF