What is the impedance of a series circuit containing a resistor and an inductor?

Practice Questions

Q1
What is the impedance of a series circuit containing a resistor and an inductor?
  1. R
  2. √(R^2 + (ωL)^2)
  3. R + jωL
  4. R - jωL

Questions & Step-by-Step Solutions

What is the impedance of a series circuit containing a resistor and an inductor?
  • Step 1: Identify the components in the circuit. You have a resistor (R) and an inductor (L).
  • Step 2: Understand that impedance (Z) is a measure of how much the circuit resists the flow of electric current.
  • Step 3: Recognize that in a series circuit, the total impedance is affected by both the resistance of the resistor and the reactance of the inductor.
  • Step 4: The reactance of the inductor is calculated using the formula ωL, where ω (omega) is the angular frequency of the AC signal.
  • Step 5: Use the formula for impedance in a series R-L circuit: Z = √(R^2 + (ωL)^2).
  • Step 6: Plug in the values for R and L, and the frequency to calculate the impedance Z.
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