# Worksheet: Reactance of Alternating-Current Circuits

In this worksheet, we will practice calculating the capacitive reactance and inductive reactance of alternating-current RLC circuits.

**Q3: **

An inductor of 20.0 mH is connected across an ac source with a variable frequency and a constant-voltage amplitude of 9.0 V.

If the frequency of the ac source is fixed at 20 kHz, determine the reactance of the circuit.

- A Ξ©
- B Ξ©
- C Ξ©
- D Ξ©
- E Ξ©

If the frequency of the ac source is fixed at 20 kHz, determine the maximum current through the inductor.

- A A
- B A
- C A
- D A
- E A

If the frequency of the ac source is fixed at 60 Hz, determine the reactance of the circuit.

If the frequency of the ac source is fixed at 60 Hz, determine the maximum current through the inductor.

**Q4: **

An ac circuit contains an inductor and capacitor.

Find the reactance of a 2.0 mH inductor for a frequency of 60 Hz in the ac circuit.

Find the reactance of a 2.0 mH inductor for a frequency of 600 Hz in the ac circuit.

Find the reactance of a 20 mH inductor for a frequency of 6.0 Hz in the ac circuit.

Find the reactance of a 20 mH inductor for a frequency of 60 Hz in the ac circuit.

Find the reactance of a 2.0 mF capacitor for a frequency of 60 Hz in the ac circuit.

Find the reactance of a 2.0 mF capacitor for a frequency of 600 Hz in the ac circuit.

**Q8: **

A parallel plate capacitor has a plate area and plate separation of 0.0300 m. A time-varying potential difference is applied across the capacitorβs plates, modeled as with . What angular frequency will induce a displacement current between the plates with a maximum value of 2.50 A?

- A rad/s
- B rad/s
- C rad/s
- D rad/s
- E rad/s