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## Homework Statement

A 15 turn rectangular metal loop has a resistance of 10 Ohms and dimensions x = 5 cm and y = 10 cm. The loop moves to the right with a constant speed of 4.0 m/s (Some external machine keeps the speed constant despite any other forces.) The loop enters a region from the left with constant magnetic field B = 150mT out of the page.

(i) What is the force (direction and magnitude) acting on the wire when the wire is entering the magnetic field?

## Homework Equations

F = BIL

I = EMF/R

EMF = vBL

Lenz's Law

## The Attempt at a Solution

I think that the direction of the force is going right to left opposing the force of the machine because that is what Lenz's law states (Maybe). However to find the force I'm unsure if I have the correct equation F = BIL and if i do I'm not sure which dimension to use as the L the x or the y. And I also need to use L to find I in the first place because I = EMF/R.

You can get around this by using an alternate equation for EMF:

EMF = -N[tex]\frac{\Delta \Phi}{\Delta t}[/tex]

Where I use the Area of the loop instead of just a length (To find the flux), but I don't have a change in time to work with. Maybe I can use the velocity to get that somehow?

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