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In an AC circuit, if the resistance is 10Ω and the inductive reactance is 20Ω, w

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Question: In an AC circuit, if the resistance is 10Ω and the inductive reactance is 20Ω, what is the total impedance? (2020)

Options:

  1. 10Ω
  2. 20Ω
  3. √(10² + 20²)
  4. 30Ω

Correct Answer: √(10² + 20²)

Exam Year: 2020

Solution: 

The total impedance Z = √(R² + XL²) = √(10² + 20²) = √(100 + 400) = √500 = 22.36Ω.

In an AC circuit, if the resistance is 10Ω and the inductive reactance is 20Ω, w

Practice Questions

Q1
In an AC circuit, if the resistance is 10Ω and the inductive reactance is 20Ω, what is the total impedance? (2020)
  1. 10Ω
  2. 20Ω
  3. √(10² + 20²)
  4. 30Ω

Questions & Step-by-Step Solutions

In an AC circuit, if the resistance is 10Ω and the inductive reactance is 20Ω, what is the total impedance? (2020)
  • Step 1: Identify the resistance (R) and inductive reactance (XL) values. Here, R = 10Ω and XL = 20Ω.
  • Step 2: Use the formula for total impedance (Z) in an AC circuit: Z = √(R² + XL²).
  • Step 3: Calculate R²: 10² = 100.
  • Step 4: Calculate XL²: 20² = 400.
  • Step 5: Add R² and XL² together: 100 + 400 = 500.
  • Step 6: Take the square root of the sum: √500.
  • Step 7: Calculate √500, which is approximately 22.36Ω.
  • Impedance in AC Circuits – Impedance is the total opposition to current flow in an AC circuit, combining resistance and reactance.
  • Pythagorean Theorem in Electrical Engineering – The calculation of total impedance involves using the Pythagorean theorem to combine resistance and reactance.
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