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What is the induced EMF in a loop of wire if the magnetic flux through it change

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Question: What is the induced EMF in a loop of wire if the magnetic flux through it changes at a rate of dΦ/dt?

Options:

  1. -dΦ/dt
  2. dΦ/dt
  3. Φ
  4. 0

Correct Answer: -dΦ/dt

Solution:

According to Faraday\'s law of electromagnetic induction, the induced EMF is given by ε = -dΦ/dt.

What is the induced EMF in a loop of wire if the magnetic flux through it change

Practice Questions

Q1
What is the induced EMF in a loop of wire if the magnetic flux through it changes at a rate of dΦ/dt?
  1. -dΦ/dt
  2. dΦ/dt
  3. Φ
  4. 0

Questions & Step-by-Step Solutions

What is the induced EMF in a loop of wire if the magnetic flux through it changes at a rate of dΦ/dt?
  • Step 1: Understand that EMF stands for electromotive force, which is the voltage generated by a changing magnetic field.
  • Step 2: Know that magnetic flux (Φ) is a measure of the amount of magnetic field passing through a loop of wire.
  • Step 3: Recognize that when the magnetic flux changes over time, it induces an EMF in the wire loop.
  • Step 4: Recall Faraday's law of electromagnetic induction, which states that the induced EMF (ε) is equal to the negative rate of change of magnetic flux.
  • Step 5: Write the formula for induced EMF: ε = -dΦ/dt, where dΦ/dt is the rate of change of magnetic flux.
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