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A rectangular loop of wire with dimensions 2.15cm by 7.54cm and resistance 0.606

ID: 1374289 • Letter: A

Question

A rectangular loop of wire with dimensions 2.15cm by 7.54cm and resistance 0.606? is being pulled to the right out of a region of uniform magnetic field. The magnetic field has magnitude 3.38T and is directed into the plane of the following figure(Figure 1) .

Part A

At the instant when the speed of the loop is 2.92m/s and it is still partially in the field region, what is the magnitude of the force the magnetic field exert on the loop?

Express your answer with the appropriate units.

A rectangular loop of wire with dimensions 2.15cm by 7.54cm and resistance 0.606? is being pulled to the right out of a region of uniform magnetic field. The magnetic field has magnitude 3.38T and is directed into the plane of the following figure(Figure 1) . Part A At the instant when the speed of the loop is 2.92m/s and it is still partially in the field region, what is the magnitude of the force the magnetic field exert on the loop? Express your answer with the appropriate units.

Explanation / Answer

We can start with the equation for magnetic force

F = BIL where the top and bottom portions will cancel. We only need the vertical portion of the loop...

I is found from EMF = IR and EMF = BLv

Thus I = BLv/R (sub into BIL)

F = B2L2v/R

F = (3.38)2(.0215)2(2.92)/(.606)

F = .0254 N