Question

B = B 2 In the lecture we used Faraday's law to show that the electro- motive force in a rectangular loop of wire, rotating about the Ê-axis with a constant angular frequency w and placed in a constant magnetic field B = Bĉ was 3 4. 2 e(t) = wt î E = ABw sin(wt). Here A is the area enclosed by the loop. In this problem we shall consider the same arrangement, where the length of each side is a, but where we shall calculate the electromotive force using the motional emf formula, E= $ dē. dē · (vxB). a. [3 points] What is the form of dễ for each side? Write it generally for each as dl, where - za sesja, multiplied by an appropriate direction. Use the counterclockwise direction indicated in the figure. b. [4 points] What is the velocity V; for a point on each side of the loop? c. [3 points] Do any sides contribute nothing to the emf? Why? d. [5 points] Calculate the motional emf for this loop. Does your answer match what we found in lecture?

Answer 1