Two conducting bars slide over two stationary rails as...

Transcript

00:01 All right, in this question we have two rails that exist in a magnetic field that points out of the page and on those rails are two bars sliding with two different speeds and we are going to answer a number of questions regarding the induction process that happens for this scenario.

00:22 So first of all we're asked to write the equation for faraday's law and i notice that this uses vemf rather than a cursive e for emf.

00:39 So faraday's law is equal to negative d phi b dt where phi is the magnetic flux so it's the opposite of the time rate of change of the magnetic flux.

00:58 I usually include n for a number of loops to be inside the calculation of flux but you know you can also write this oops let me take care of this minus n d phi b dt either way is acceptable.

01:24 And so if our two vertical bars are initially separated by 0 .5 meters i'm going to call this x this separation of 0 .5 meters at t equals zero calculate the magnetic flux in the loop at this instant.

01:49 So our magnetic flux is going to be equal to the dot product of the magnetic field and the area which we can find with b a cos theta where theta is the angle between the normal to the loop and the magnetic field and the normal to the loop we would be able to say is in the positive z direction just like our magnetic field is so theta will be zero degrees and so that will disappear from our calculation.

02:28 And now we need an expression so magnetic field was constant we need an expression for our area.

02:34 I called this 1 .2 meter separation between the rails l so our area will be found with x the separation between the bars multiplied by l the separation between the rails and okay for good measure i'll throw in cosine theta and now we can actually perform our calculation...

Question

Two conducting bars slide over two stationary rails as illustrated in the figure below with B = 0.5 a, Wb/m$^2$. a) Write the equation for Faraday's Law.

Question

Two conducting bars slide over two stationary rails as illustrated in the figure below with B = 0.5 a, Wb/m$^2$. a) Write the equation for Faraday's Law.

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