What is the phase angle in a circuit with a resistance of 30 ohms and a reactanc

Practice Questions

Q1
What is the phase angle in a circuit with a resistance of 30 ohms and a reactance of 40 ohms? (2021)
  1. 53.13°
  2. 36.87°
  3. 45°
  4. 60°

Questions & Step-by-Step Solutions

What is the phase angle in a circuit with a resistance of 30 ohms and a reactance of 40 ohms? (2021)
  • Step 1: Identify the resistance (R) and reactance (X) values. Here, R = 30 ohms and X = 40 ohms.
  • Step 2: Use the formula for phase angle θ, which is θ = tan⁻¹(X/R).
  • Step 3: Substitute the values into the formula: θ = tan⁻¹(40/30).
  • Step 4: Calculate the value of 40 divided by 30, which is approximately 1.3333.
  • Step 5: Use a calculator to find the arctangent (tan⁻¹) of 1.3333.
  • Step 6: The result is approximately 53.13 degrees, which is the phase angle θ.
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