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A coil with 100 turns has a magnetic flux of 0.02 Wb passing through it. If the

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Question: A coil with 100 turns has a magnetic flux of 0.02 Wb passing through it. If the flux changes to 0.01 Wb in 2 seconds, what is the induced EMF? (2022)

Options:

  1. 0.5 V
  2. 1 V
  3. 2 V
  4. 5 V

Correct Answer: 1 V

Exam Year: 2022

Solution: 

Induced EMF = -N * (ΔΦ/Δt) = -100 * ((0.01 - 0.02) / 2) = 0.5 V.

A coil with 100 turns has a magnetic flux of 0.02 Wb passing through it. If the

Practice Questions

Q1
A coil with 100 turns has a magnetic flux of 0.02 Wb passing through it. If the flux changes to 0.01 Wb in 2 seconds, what is the induced EMF? (2022)
  1. 0.5 V
  2. 1 V
  3. 2 V
  4. 5 V

Questions & Step-by-Step Solutions

A coil with 100 turns has a magnetic flux of 0.02 Wb passing through it. If the flux changes to 0.01 Wb in 2 seconds, what is the induced EMF? (2022)
  • Step 1: Identify the number of turns in the coil, which is 100.
  • Step 2: Identify the initial magnetic flux (Φ_initial) as 0.02 Wb.
  • Step 3: Identify the final magnetic flux (Φ_final) as 0.01 Wb.
  • Step 4: Calculate the change in magnetic flux (ΔΦ) using the formula ΔΦ = Φ_final - Φ_initial.
  • Step 5: Substitute the values: ΔΦ = 0.01 Wb - 0.02 Wb = -0.01 Wb.
  • Step 6: Identify the time interval (Δt) over which the change occurs, which is 2 seconds.
  • Step 7: Use the formula for induced EMF: Induced EMF = -N * (ΔΦ/Δt).
  • Step 8: Substitute the values into the formula: Induced EMF = -100 * (-0.01 Wb / 2 s).
  • Step 9: Calculate the value: Induced EMF = -100 * (-0.005) = 0.5 V.
  • Faraday's Law of Electromagnetic Induction – The induced EMF in a coil is proportional to the rate of change of magnetic flux through the coil.
  • Magnetic Flux – Magnetic flux is the product of the magnetic field and the area through which it passes, measured in Webers (Wb).
  • Induced EMF Calculation – The formula for induced EMF is given by EMF = -N * (ΔΦ/Δt), where N is the number of turns, ΔΦ is the change in magnetic flux, and Δt is the time interval.
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