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If the voltage across an inductor is 100 V and the current through it is 5 A, wh

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Question: If the voltage across an inductor is 100 V and the current through it is 5 A, what is the inductive reactance? (2023)

Options:

  1. 20 Ω
  2. 25 Ω
  3. 50 Ω
  4. 100 Ω

Correct Answer: 25 Ω

Exam Year: 2023

Solution: 

Inductive reactance (X_L) can be calculated using the formula V = I × X_L. Rearranging gives X_L = V/I = 100 V / 5 A = 20 Ω.

If the voltage across an inductor is 100 V and the current through it is 5 A, wh

Practice Questions

Q1
If the voltage across an inductor is 100 V and the current through it is 5 A, what is the inductive reactance? (2023)
  1. 20 Ω
  2. 25 Ω
  3. 50 Ω
  4. 100 Ω

Questions & Step-by-Step Solutions

If the voltage across an inductor is 100 V and the current through it is 5 A, what is the inductive reactance? (2023)
  • Step 1: Identify the voltage across the inductor, which is given as 100 V.
  • Step 2: Identify the current through the inductor, which is given as 5 A.
  • Step 3: Write down the formula for inductive reactance: V = I × X_L.
  • Step 4: Rearrange the formula to solve for X_L: X_L = V / I.
  • Step 5: Substitute the values into the formula: X_L = 100 V / 5 A.
  • Step 6: Calculate the result: X_L = 20 Ω.
  • Inductive Reactance – Inductive reactance (X_L) is the opposition that an inductor presents to alternating current (AC) due to its inductance, calculated using the formula X_L = V/I.
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