The illustration below shows a loop of wire with area A and a uniform magnetic f
ID: 1391376 • Letter: T
Question
The illustration below shows a loop of wire with area A and a uniform magnetic field B that goes through the loop. (The field fills the whole area of the page, but it is simpler to make one drawing.) The area vector and B-field direction are both in the plane of the page. The loop is perpendicular to it, but drawn in a perspective view so that you can see it is a loop. The B-field has a constant magnitude but is rotating in the plane of the page so that the angle ?? = ????. For our purposes the loop is fixed in place but you can measure torques exerted on it by the magnetic field.
A qualitative look.
At the moment shown, is the flux through the loop increasing, decreasing, or constant? Explain.
At the moment shown is there an induced current? If so, indicate its direction. Explain.
Is there a torque on the loop from any current in part b interacting with the magnetic
field? If so indicated its direction and explain.
A more quantitative look.
Write a formula for the flux through the loop as a function of time, ?, the area A, and the magnitude of the magnetic field B.
Find a formula (in terms of the same variables above) for any induced emf and any induced current in the loop. You may assume the loop has a resistance R.
Find a formula for any torque on the loop.
This happens to be a simplified version of the asynchronous electric motor developed by Michael Faraday and used in Tesla motorcars.
Explanation / Answer
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