Calculating Induced EMF in a Moving Loop of Wire with Uniform Magnetic Field

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In summary, a 2.00 cm square wire loop is attached to a cart moving at 15.0 m/s into a magnetic field of 56.0 T. The induced emf after traveling 1.00 cm into the field is unknown. The direction of the current, clockwise or counterclockwise, is also unknown. If the resistance of the loop is 1.60 Ω, the current in the loop is also unknown. The relationship between the cart's velocity and the change in magnetic flux through the wire loop is important in solving this problem.
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mmm62892
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Picture link: http://es.tinypic.com/r/5cx154/5
A square loop of wire measures 2.00 cm on each side. It is attached to a cart that is moving at a constant speed of 15.0 m/s into a uniform magnetic field of 56.0 T. (a) What is the induced emf after it has traveled 1.00 cm into the field? (b) What is the direction of the current, clockwise or counterclockwise? (c) If the resistance of the loop is 1.60 , what is the current in the loop?

What is this even asking and how does a cart have to do with emf? I'm so lost. :(
 
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Have you learned about Faraday's Law? That would be the place to start. How is the velocity of the cart related to the change of the magnetic flux through the wire loop?
 

1. How do you calculate the induced EMF in a moving loop of wire?

The induced EMF in a moving loop of wire can be calculated using the formula: E = -N(dΦ/dt), where E is the induced EMF, N is the number of turns in the loop, and dΦ/dt is the rate of change of magnetic flux through the loop.

2. What is the significance of the uniform magnetic field in this calculation?

The uniform magnetic field is important because it ensures that the rate of change of magnetic flux through the loop is constant, making it easier to calculate the induced EMF using the above formula.

3. How does the velocity of the loop affect the induced EMF?

The induced EMF is directly proportional to the velocity of the loop. This means that the faster the loop moves through the magnetic field, the higher the induced EMF will be.

4. Can the direction of the induced EMF be determined using this formula?

Yes, the direction of the induced EMF can be determined by using the right-hand rule. If the fingers of your right hand point in the direction of the magnetic field, and your thumb points in the direction of motion of the loop, your palm will face in the direction of the induced EMF.

5. What other factors can affect the induced EMF in a moving loop of wire?

Aside from the velocity and magnetic field, the size and shape of the loop, as well as the strength of the magnetic field, can also affect the induced EMF. Additionally, the resistance of the wire and the presence of other nearby conductors can also impact the induced EMF.

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