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a flat, circular loop of radius r is at rest in a uniform magnetic field of magnitude b , as shown in an edge-on view below. what is the magnitude of the magnetic flux through the loop?

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The magnitude of the induced EMF is proportional to the square of the radius of the loop. Therefore, a larger loop will have a larger induced EMF.

According to Faraday's law of electromagnetic induction, an electromotive force (EMF) is induced in a conductor whenever there is a change in the magnetic flux through the conductor.

The magnitude of the EMF is equal to the negative of the rate of change of the magnetic flux:

ε = -dΦ/dt

where:

ε is the EMF in volts

Φ is the magnetic flux in webers

t is the time in seconds

In this case, the magnetic field is decreasing at a rate of 1 T/s.

This means that the magnetic flux through the loop is also decreasing at a rate of 1 T/s.

Therefore, an EMF will be induced in the loop in the direction that opposes the change in magnetic flux. This means that the induced current will flow in the clockwise direction.

Answer: The induced current in the copper loop will flow in the clockwise direction.

We can also calculate the magnitude of the induced EMF using the following equation:

ε = Bπr²

where:

B is the magnitude of the magnetic field in teslas

r is the radius of the loop in meters

In this case, the magnetic field is decreasing at a rate of 1 T/s, so we can use the following equation to calculate the magnitude of the induced EMF:

ε = -Bπr²

ε = -(1 T/s)(πr²)

ε = -πr² V

This equation tells us that the magnitude of the induced EMF is proportional to the square of the radius of the loop. Therefore, a larger loop will have a larger induced EMF.

a flat, circular loop of radius r is at rest in a uniform magnetic field of magnitude-example-1
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