What is the induced EMF in a loop of wire if the magnetic field through the loop

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

Options:

Correct Answer: -A(dB/dt)

Solution:

The induced EMF (ε) is given by Faraday\'s law as ε = -A(dB/dt), where A is the area of the loop.

What is the induced EMF in a loop of wire if the magnetic field through the loop changes at a rate of dB/dt?

What is the induced EMF in a loop of wire if the magnetic field through the loop changes at a rate of dB/dt?

Step 1: Understand that EMF stands for electromotive force, which is the voltage generated in a loop of wire.
Step 2: Know that a changing magnetic field can induce an EMF in a wire loop.
Step 3: Recall Faraday's law of electromagnetic induction, which states that the induced EMF (ε) is related to the rate of change of the magnetic field (dB/dt).
Step 4: Identify that the formula for induced EMF is ε = -A(dB/dt), where A is the area of the loop.
Step 5: Recognize that 'dB/dt' represents how quickly the magnetic field is changing over time.
Step 6: Remember that the negative sign in the formula indicates the direction of the induced EMF, according to Lenz's law.

No concepts available.