A circular loop of wire is placed in a uniform magnetic field. What happens to the induced EMF if the area of the loop is increased?
Practice Questions
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Q1
A circular loop of wire is placed in a uniform magnetic field. What happens to the induced EMF if the area of the loop is increased?
Increases
Decreases
Remains the same
Depends on the magnetic field strength
According to Faraday's law of electromagnetic induction, the induced EMF is proportional to the rate of change of magnetic flux. Increasing the area increases the flux, thus increasing the induced EMF.
Questions & Step-by-step Solutions
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Q
Q: A circular loop of wire is placed in a uniform magnetic field. What happens to the induced EMF if the area of the loop is increased?
Solution: According to Faraday's law of electromagnetic induction, the induced EMF is proportional to the rate of change of magnetic flux. Increasing the area increases the flux, thus increasing the induced EMF.
Steps: 7
Step 1: Understand that a circular loop of wire is placed in a magnetic field.
Step 2: Know that the magnetic field has a certain strength and direction.
Step 3: Learn about magnetic flux, which is the amount of magnetic field passing through the loop.
Step 4: Recognize that the area of the loop affects the magnetic flux; a larger area means more magnetic field lines can pass through.
Step 5: Remember Faraday's law, which states that the induced EMF (electromotive force) is related to the change in magnetic flux over time.
Step 6: If the area of the loop increases, the magnetic flux through the loop also increases.
Step 7: Since the induced EMF is proportional to the change in magnetic flux, an increase in area leads to an increase in induced EMF.