(Part a) A circular loop of radius R rotates with angular frequency w in the presence...

 

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(Part a) A circular loop of radius R rotates with angular frequency w in the presence of a unifrom magnetic field of magnitude B. What is the maximum induced EMF? Express maxin terms of the variables (omega), B, (pi), R, as needed. &max= B (Part b) Now consider a magnet that moves near a stationary loop. The magnet's north pole faces upwards, producing a time- dependent flux through the loop, which can be modeled by (t) = Doe-/t, where the magnet is "centered" with the loop at t = 0. The constant represents how quickly the magnet moves (moving more quickly results in smaller T). € (t) = (0) N (Part b-i) What is the induced EMF as a function of time? Express & (1) in terms of the variables 00 (Phi_0), 7 (tau), 1, and e for the exponential, as needed. DRAW A SKETCH of both (1) and E (1). Em = (Part b-ii) What is the maximum induced EMF? Express Em in terms of the variables Do (Phi_0), T (tau), and e for the exponential, as needed. LOOK closely at how em depends on 7. If you move the magnet more quickly past the loop, what happens to em? (Part a) A circular loop of radius R rotates with angular frequency w in the presence of a unifrom magnetic field of magnitude B. What is the maximum induced EMF? Express maxin terms of the variables (omega), B, (pi), R, as needed. &max= B (Part b) Now consider a magnet that moves near a stationary loop. The magnet's north pole faces upwards, producing a time- dependent flux through the loop, which can be modeled by (t) = Doe-/t, where the magnet is "centered" with the loop at t = 0. The constant represents how quickly the magnet moves (moving more quickly results in smaller T). € (t) = (0) N (Part b-i) What is the induced EMF as a function of time? Express & (1) in terms of the variables 00 (Phi_0), 7 (tau), 1, and e for the exponential, as needed. DRAW A SKETCH of both (1) and E (1). Em = (Part b-ii) What is the maximum induced EMF? Express Em in terms of the variables Do (Phi_0), T (tau), and e for the exponential, as needed. LOOK closely at how em depends on 7. If you move the magnet more quickly past the loop, what happens to em?

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