g An 85.2-mH inductor and a 5.27-pF capacitor are connected in series with a generator whose frequency is 343 Hz. The rms I voltage across the capacitor is2.42V. Determine the rms voltage across the inducton

The rms voltage across the inductor is 5.05 x 10⁻⁶ V.

Explanation:

Given;

inductance of the inductor, L = 85.2 mH = 85.2 x 10⁻³ H

capacitance of the capacitor, C = 5.27 pF = 5.27 x 10⁻¹² F

frequency of the generator, f = 343 Hz

Since the  inductor, and capacitor are connected in series, same current will pass through them.

The current through them is given by;

where;

Xc and XL are capacitive and inductive reactance respectively;

Therefore, the rms voltage across the inductor is 5.05 x 10⁻⁶ V.