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In an AC circuit, if the frequency is 60Hz and the inductance is 0.2H, what is t

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Question: In an AC circuit, if the frequency is 60Hz and the inductance is 0.2H, what is the inductive reactance? (2021)

Options:

  1. 12.56Ω
  2. 37.68Ω
  3. 75.36Ω
  4. 100Ω

Correct Answer: 37.68Ω

Exam Year: 2021

Solution:

Inductive reactance (XL) = 2πfL = 2π(60)(0.2) ≈ 75.36Ω.

In an AC circuit, if the frequency is 60Hz and the inductance is 0.2H, what is t

Practice Questions

Q1
In an AC circuit, if the frequency is 60Hz and the inductance is 0.2H, what is the inductive reactance? (2021)
  1. 12.56Ω
  2. 37.68Ω
  3. 75.36Ω
  4. 100Ω

Questions & Step-by-Step Solutions

In an AC circuit, if the frequency is 60Hz and the inductance is 0.2H, what is the inductive reactance? (2021)
  • Step 1: Identify the formula for inductive reactance, which is XL = 2πfL.
  • Step 2: Identify the values given in the problem: frequency (f) = 60Hz and inductance (L) = 0.2H.
  • Step 3: Substitute the values into the formula: XL = 2π(60)(0.2).
  • Step 4: Calculate the product of 60 and 0.2, which is 12.
  • Step 5: Multiply 12 by 2π (approximately 6.2832), which gives you about 75.36.
  • Step 6: Conclude that the inductive reactance (XL) is approximately 75.36Ω.
  • Inductive Reactance – Inductive reactance (XL) is the opposition that an inductor presents to alternating current (AC) due to its inductance and the frequency of the AC signal.
  • Formula Application – The question tests the ability to apply the formula for inductive reactance, XL = 2πfL, where f is the frequency and L is the inductance.
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