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.