A certain AC circuit might contain an inductor of inductance 33 mH or a capacito

Question

A certain AC circuit might contain an inductor of inductance 33 mH or a capacitor of capacitance 210 F. The angular frequency of the circuit’s voltage source is 690 rad/s.

Part (a) Find the impedance of the inductor, in ohms, when it forms part of the circuit.

Part (b) Which one of the statements is correct?

The voltage across the inductor leads the current through it by /2 rad (90°).

The current through the inductor and the voltage across it are out of phase by rad (180°).

None of the other statements is correct.

The current through the inductor leads the voltage across it by /2 rad (90°).

The voltage across the inductor and the current through it are in phase.

Part (c) Find the impedance of the capacitor, in ohms, when it forms part of the circuit.

Part (d) Which one of the statements is correct?

The voltage across the capacitor lags the current through it by /2 rad (90°).

The current through the capacitor and the voltage across it are out of phase by rad (180°).

None of the other statements is correct.

The current through the capacitor lags the voltage across it by /2 rad (90°).

The voltage across the capacitor and the current through it are in phase.

Explanation / Answer

(A) XL = w L

XL = 690 x 0.033 = 22.77 ohm

(B) The voltage leas the current by pi/2 .

(C) Xc = 1 / w C = 1/ (690 x 210 x 10^-6)

Xc = 6.90 ohm

(d) he voltage across the capacitor lags the current through it by /2 rad

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