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A coil of wire has 100 turns and is placed in a magnetic field of strength 0.5 T

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Question: A coil of wire has 100 turns and is placed in a magnetic field of strength 0.5 T. If the area of the coil is 0.1 m², what is the maximum magnetic flux through the coil? (2022)

Options:

  1. 5 Wb
  2. 0.5 Wb
  3. 10 Wb
  4. 1 Wb

Correct Answer: 5 Wb

Exam Year: 2022

Solution: 

Magnetic flux (Φ) = B × A × N = 0.5 T × 0.1 m² × 100 = 5 Wb.

A coil of wire has 100 turns and is placed in a magnetic field of strength 0.5 T

Practice Questions

Q1
A coil of wire has 100 turns and is placed in a magnetic field of strength 0.5 T. If the area of the coil is 0.1 m², what is the maximum magnetic flux through the coil? (2022)
  1. 5 Wb
  2. 0.5 Wb
  3. 10 Wb
  4. 1 Wb

Questions & Step-by-Step Solutions

A coil of wire has 100 turns and is placed in a magnetic field of strength 0.5 T. If the area of the coil is 0.1 m², what is the maximum magnetic flux through the coil? (2022)
  • Step 1: Identify the formula for magnetic flux (Φ). The formula is Φ = B × A × N, where B is the magnetic field strength, A is the area of the coil, and N is the number of turns in the coil.
  • Step 2: Write down the values given in the question: B = 0.5 T (Tesla), A = 0.1 m² (square meters), and N = 100 (turns).
  • Step 3: Substitute the values into the formula: Φ = 0.5 T × 0.1 m² × 100.
  • Step 4: Calculate the product: First, multiply 0.5 T by 0.1 m² to get 0.05. Then, multiply 0.05 by 100 to get 5.
  • Step 5: Conclude that the maximum magnetic flux through the coil is 5 Wb (Webers).
  • Magnetic Flux – Magnetic flux (Φ) is the product of the magnetic field strength (B), the area (A) through which the field lines pass, and the number of turns (N) in the coil.
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