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What is the impedance of a circuit with a resistance of 4Ω and a reactance of 3Ω

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Question: What is the impedance of a circuit with a resistance of 4Ω and a reactance of 3Ω? (2020)

Options:

  1. 5Ω
  2. 7Ω
  3. 1Ω
  4. 12Ω

Correct Answer: 5Ω

Exam Year: 2020

Solution: 

Impedance Z = √(R² + X²) = √(4² + 3²) = √(16 + 9) = √25 = 5Ω.

What is the impedance of a circuit with a resistance of 4Ω and a reactance of 3Ω

Practice Questions

Q1
What is the impedance of a circuit with a resistance of 4Ω and a reactance of 3Ω? (2020)
  1. 5Ω
  2. 7Ω
  3. 1Ω
  4. 12Ω

Questions & Step-by-Step Solutions

What is the impedance of a circuit with a resistance of 4Ω and a reactance of 3Ω? (2020)
  • Step 1: Identify the resistance (R) and reactance (X) values. Here, R = 4Ω and X = 3Ω.
  • Step 2: Use the formula for impedance (Z), which is Z = √(R² + X²).
  • Step 3: Calculate R². Since R = 4, R² = 4² = 16.
  • Step 4: Calculate X². Since X = 3, X² = 3² = 9.
  • Step 5: Add R² and X² together. So, 16 + 9 = 25.
  • Step 6: Take the square root of the sum. √25 = 5.
  • Step 7: Conclude that the impedance Z is 5Ω.
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