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What is the impedance of a circuit with a resistance of 4 ohms and a reactance o

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Question: What is the impedance of a circuit with a resistance of 4 ohms and a reactance of 3 ohms? (2021)

Options:

  1. 5 ohms
  2. 7 ohms
  3. 1 ohm
  4. 12 ohms

Correct Answer: 5 ohms

Solution: 

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

What is the impedance of a circuit with a resistance of 4 ohms and a reactance o

Practice Questions

Q1
What is the impedance of a circuit with a resistance of 4 ohms and a reactance of 3 ohms? (2021)
  1. 5 ohms
  2. 7 ohms
  3. 1 ohm
  4. 12 ohms

Questions & Step-by-Step Solutions

What is the impedance of a circuit with a resistance of 4 ohms and a reactance of 3 ohms? (2021)
  • Step 1: Identify the resistance (R) and reactance (X) values. Here, R = 4 ohms and X = 3 ohms.
  • Step 2: Use the formula for impedance (Z), which is Z = √(R² + X²).
  • Step 3: Calculate R². This is 4² = 16.
  • Step 4: Calculate X². This is 3² = 9.
  • Step 5: Add R² and X² together. This is 16 + 9 = 25.
  • Step 6: Take the square root of the sum. This is √25 = 5.
  • Step 7: Conclude that the impedance Z is 5 ohms.
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