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A rectangular loop of height h and width w is fixed so that it can rotate about its vertical side. A magnetic field B is constant, uniform, and perpendicular to this vertical axis.

(a) Sketch out the configuration as seen from above.

(b) Calculate the magnetic flux through the loop as a function of its angle to the magnetic field

(c) Imagine that it's now rotating with constant angular speed A%. Write an expression for the magnetic flux as a function of time.

(d) Now, what will the emf around the loop be as a function of time?

(e) If the loop has total resistance R, what will the current be as a function of time?

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