What is the induced EMF in a loop of wire when the magnetic field through it cha
Practice Questions
Q1
What is the induced EMF in a loop of wire when the magnetic field through it changes at a rate of 5 T/s?
0 V
5 V
10 V
15 V
Questions & Step-by-Step Solutions
What is the induced EMF in a loop of wire when the magnetic field through it 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 when the magnetic field changes.
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: Recognize that the magnetic flux (Φ) is affected by the magnetic field (B) and that a change in the magnetic field over time (dB/dt) leads to a change in magnetic flux.
Step 4: Note that the problem states the rate of change of the magnetic field is 5 T/s (Tesla per second).
Step 5: Apply Faraday's law: ε = -dΦ/dt. Since dΦ/dt is directly related to the rate of change of the magnetic field, we can say ε = 5 V (volts) when the rate of change is 5 T/s.
Step 6: Conclude that the induced EMF in the loop of wire is 5 V.
