What is the equivalent impedance of a resistor (R) in series with an inductor (L

Practice Questions

Q1
What is the equivalent impedance of a resistor (R) in series with an inductor (L) at a frequency (f)?
  1. Z = R + jωL
  2. Z = R - jωL
  3. Z = R + jL
  4. Z = R - jL

Questions & Step-by-Step Solutions

What is the equivalent impedance of a resistor (R) in series with an inductor (L) at a frequency (f)?
  • Step 1: Understand that impedance (Z) is a measure of how much a circuit resists the flow of electric current.
  • Step 2: Know that a resistor (R) has a real part of impedance equal to its resistance value.
  • Step 3: Understand that an inductor (L) has an imaginary part of impedance that depends on the frequency (f) of the current.
  • Step 4: Remember the formula for the angular frequency (ω), which is ω = 2πf.
  • Step 5: Combine the impedance of the resistor and the inductor using the formula Z = R + jωL, where j represents the imaginary unit.
  • Step 6: Substitute ω with 2πf in the formula to get Z = R + j(2πf)L.
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