If the magnetic field strength is doubled, what happens to the induced EMF in a coil with a constant number of turns and area?
Practice Questions
1 question
Q1
If the magnetic field strength is doubled, what happens to the induced EMF in a coil with a constant number of turns and area?
It doubles
It halves
It remains the same
It quadruples
According to Faraday's law, the induced EMF is directly proportional to the rate of change of magnetic flux, which depends on the magnetic field strength.
Questions & Step-by-step Solutions
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Q
Q: If the magnetic field strength is doubled, what happens to the induced EMF in a coil with a constant number of turns and area?
Solution: According to Faraday's law, the induced EMF is directly proportional to the rate of change of magnetic flux, which depends on the magnetic field strength.
Steps: 5
Step 1: Understand that EMF (electromotive force) is generated in a coil when there is a change in magnetic flux.
Step 2: Recall that magnetic flux is calculated as the product of the magnetic field strength (B), the area of the coil (A), and the cosine of the angle (θ) between the magnetic field and the normal to the surface of the coil.
Step 3: Note that if the magnetic field strength (B) is doubled, the magnetic flux through the coil also doubles, assuming the area (A) and angle (θ) remain constant.
Step 4: According to Faraday's law, the induced EMF is directly proportional to the change in magnetic flux.
Step 5: Since the magnetic flux has doubled, the induced EMF will also double.
