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What is the impedance of a circuit with a resistance of 3 ohms and a reactance o

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

Options:

  1. 5 ohms
  2. 7 ohms
  3. 12 ohms
  4. 1.33 ohms

Correct Answer: 5 ohms

Solution: 

Impedance (Z) is calculated using the formula Z = √(R^2 + X^2), so Z = √(3^2 + 4^2) = 5 ohms.

What is the impedance of a circuit with a resistance of 3 ohms and a reactance o

Practice Questions

Q1
What is the impedance of a circuit with a resistance of 3 ohms and a reactance of 4 ohms?
  1. 5 ohms
  2. 7 ohms
  3. 12 ohms
  4. 1.33 ohms

Questions & Step-by-Step Solutions

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