What is the induced EMF in a loop of wire when the magnetic field changes at a r

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Question: What is the induced EMF in a loop of wire when the magnetic field changes at a rate of 5 T/s?

Options:

Correct Answer: 5 V

Solution:

The induced EMF (ε) is given by Faraday\'s law of electromagnetic induction: ε = -dΦ/dt. If the change in magnetic field is 5 T/s, then ε = 5 V.

What is the induced EMF in a loop of wire when the magnetic field changes at a rate of 5 T/s?

What is the induced EMF in a loop of wire when the magnetic field changes at a rate of 5 T/s?

Step 1: Understand that EMF stands for electromotive force, which is the voltage generated in a loop of wire due to a changing magnetic field.
Step 2: 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 (Φ) through the loop.
Step 3: The formula for induced EMF is ε = -dΦ/dt, where dΦ/dt is the change in magnetic flux per unit time.
Step 4: In this case, we are given that the magnetic field changes at a rate of 5 T/s (Tesla per second). This means dB/dt = 5 T/s.
Step 5: Since the area of the loop and the angle are not specified, we can assume that the change in magnetic flux is directly proportional to the change in magnetic field.
Step 6: Therefore, we can say that the induced EMF ε = 5 V, as the rate of change of the magnetic field is 5 T/s.

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