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What is the formula for calculating total impedance in a series AC circuit?

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Question: What is the formula for calculating total impedance in a series AC circuit?

Options:

  1. Z = R + jX
  2. Z = R - jX
  3. Z = R * X
  4. Z = R / X

Correct Answer: Z = R + jX

Solution: 

In a series AC circuit, the total impedance (Z) is the sum of the resistance (R) and the reactance (X), expressed as Z = R + jX, where j is the imaginary unit.

What is the formula for calculating total impedance in a series AC circuit?

Practice Questions

Q1
What is the formula for calculating total impedance in a series AC circuit?
  1. Z = R + jX
  2. Z = R - jX
  3. Z = R * X
  4. Z = R / X

Questions & Step-by-Step Solutions

What is the formula for calculating total impedance in a series AC circuit?
Correct Answer: Z = R + jX
  • Step 1: Understand that in a series AC circuit, there are two main components: resistance (R) and reactance (X).
  • Step 2: Recognize that resistance (R) is the opposition to current flow in a circuit.
  • Step 3: Know that reactance (X) is the opposition to current flow caused by capacitors and inductors in the circuit.
  • Step 4: Realize that total impedance (Z) combines both resistance and reactance.
  • Step 5: Use the formula Z = R + jX to calculate total impedance, where 'j' represents the imaginary unit.
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