(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Plate is rotating on the yz plane, so perpindicular to x-plane. It is rotating at angular velocity, W = 10 [rad/s]. IfB= 0.2a[T] and phi = 0 @ t = 0, find the current i, which is flowing up the portion of the loop that is along the z-axis (current is directed toward increasing values of z). A 10 ohm resistor also lies on the positive z-axis that the current goes through. Assume loop inductance is neglibile_{y}

2. Relevant equations

Faraday's Law, net voltage around a closed path is equal to the net time-varying mag. flux passes through the surface of your choosing.

3. The attempt at a solution

So, using Faraday's Law, I can break down the magnetic field integral into two components, the motional EMF minus the transformer EMF. TheB-field is not changing with respect to time so the tranformer EMF goes to zero. The formula for motional EMF is:∫[(uxB) •dl]. Because the velocity around the edge of the rotating plate that is standing up straight on yz plane,u= W*p*a. Taking the cross product of_{phi}u/B] xB, and then multiplying the different displacement vector(dl), I determine the current to be i(t) = 2.4^{-4}sin(Wt). I have checked my calculations through these steps (i.e. making sure I multiplied centimeters by centimeters), and I don't see where I am going wrong. The correct answer is i(t) = 2.4^{-6}sin(Wt). How can I be off by a factor of 2?! Please help!

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# Homework Help: Rotating loop - Faraday's Law

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