What happens to the induced EMF when the area of a loop in a changing magnetic field is increased?
Practice Questions
1 question
Q1
What happens to the induced EMF when the area of a loop in a changing magnetic field is increased?
Increases
Decreases
Remains constant
Becomes zero
According to Faraday's law, if the area of the loop is increased in a changing magnetic field, the induced EMF increases.
Questions & Step-by-step Solutions
1 item
Q
Q: What happens to the induced EMF when the area of a loop in a changing magnetic field is increased?
Solution: According to Faraday's law, if the area of the loop is increased in a changing magnetic field, the induced EMF increases.
Steps: 6
Step 1: Understand that EMF stands for electromotive force, which is the voltage generated in a loop due to a changing magnetic field.
Step 2: Recall Faraday's law, which states that the induced EMF in a loop is directly proportional to the rate of change of magnetic flux through the loop.
Step 3: Recognize that magnetic flux is calculated as the product of the magnetic field strength, the area of the loop, and the cosine of the angle between the magnetic field and the normal to the loop's surface.
Step 4: If the area of the loop increases while the magnetic field is changing, the magnetic flux through the loop also increases.
Step 5: Since the induced EMF is proportional to the change in magnetic flux, an increase in the area of the loop leads to a greater change in magnetic flux.
Step 6: Therefore, when the area of the loop is increased in a changing magnetic field, the induced EMF increases.
