My Learning Cart
?
Categories
Account

What is the impedance of a capacitor in an AC circuit at frequency f?

₹0.0
Login to Download
  • 📥 Instant PDF Download
  • ♾ Lifetime Access
  • 🛡 Secure & Original Content

What’s inside this PDF?

Question: What is the impedance of a capacitor in an AC circuit at frequency f?

Options:

  1. Z_C = 1 / (jωC)
  2. Z_C = jωC
  3. Z_C = R + jX_C
  4. Z_C = R - jX_C

Correct Answer: Z_C = 1 / (jωC)

Solution: 

The impedance of a capacitor in an AC circuit is given by Z_C = 1 / (jωC), where ω = 2πf is the angular frequency.

What is the impedance of a capacitor in an AC circuit at frequency f?

Practice Questions

Q1
What is the impedance of a capacitor in an AC circuit at frequency f?
  1. Z_C = 1 / (jωC)
  2. Z_C = jωC
  3. Z_C = R + jX_C
  4. Z_C = R - jX_C

Questions & Step-by-Step Solutions

What is the impedance of a capacitor in an AC circuit at frequency f?
Correct Answer: Z_C = 1 / (jωC)
  • Step 1: Understand that impedance (Z) is a measure of how much a circuit resists the flow of alternating current (AC).
  • Step 2: Know that a capacitor is a component that stores electrical energy in an electric field.
  • Step 3: Recognize that in an AC circuit, the impedance of a capacitor depends on the frequency of the AC signal.
  • Step 4: Learn the formula for the impedance of a capacitor: Z_C = 1 / (jωC).
  • Step 5: Identify that 'j' is the imaginary unit, 'ω' (omega) is the angular frequency, and 'C' is the capacitance of the capacitor.
  • Step 6: Calculate the angular frequency using the formula: ω = 2πf, where 'f' is the frequency of the AC signal.
  • Step 7: Substitute ω into the impedance formula to find the impedance of the capacitor at frequency f.
No concepts available.
Soulshift Feedback ×

On a scale of 0–10, how likely are you to recommend The Soulshift Academy?

Not likely Very likely
Home Practice Performance eBooks