N value in electric flux formula1/2/2024 ![]() I'm just gonna rewriteįaraday's law right over here. That electromotive force that's going to be induced is going to be. You could, contained by this loop, and so that is going to give us a change in flux And if you have a change in flux that is going to induce an electromotive force, or it's going to induceĪ voltage in this loop which will cause a current to flow. Going to be changing the area, the area that is, I guess Even though the magnetic field itself is constant, you're actually Why are we gonna have aĬhange in magnetic flux, or a change in magneticįlux through the surface? Well if this thing is moving to the right, when it's speed is 'v' it can be any units, meters per second, or whatever it is. Say it has length 'L' Given that, you can see that we're going to have a change in magnetic flux. You can imagine it's a cylinder that can roll to the right, and the magnitude of it's velocity, we're going to say is lowercase 'v'. Is this loop that we have, This right part of the loop is movable. The magnitude of the magnetic field at any point of the I have a magnetic field that is constant, and it's going straight out Where would that energy come from to do that? A tiny push would send the rod zooming off. You would give the rod a little push, and then that force would push it some more in the same direction, and then the rod would go faster so that force would get bigger, so the rod would go faster, etc etc etc. Think about what would happen if somehow the force was in the same direction as the velocity. If that person stops pushing, the opposing force will cause the rod to come to rest. But why should force be needed to keep the rod moving at constant velocity? It must be that there's an opposing force that the person doing the pushing has to fight against. For that person to be doing work, they have to be exerting force in the direction that the rod is moving. Where does it come from? Whoever is pushing the rod. If charge is moving, somehow energy is getting put into that system. This makes sense because energy has to be conserved. That means it has to, in this case, try to make the bar stop moving. There's more than one way to do it, but the easy way is to use Lenz' law, which tells us that the induced EMF will oppose the change that is creating it. ![]()
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