DQ10A_solution - Discussion Question 10A P212, Week 10...

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Discussion Question 10A P212, Week 10 Faraday's Law: Moving Loop A one-turn current loop in the shape of an equilateral triangle with sides a lies in the xy plane and moves with velocity v in the + x direction. (A magic external force keeps the velocity constant ) The loop has a net resistance R . It passes through a region of constant, spatially uniform magnetic field B that points in the - z direction (into the page) and extends from x = 0 to x = d . y v a a a 0 d x x We will specify the loop’s position using the x -coordinate of the triangle’s tip (as shown in the figure). Now, before we do any calculations, let’s think physically (a) During what part(s) of the loop’s trip (i.e. range(s) in x -position) will there be a non- zero current induced in the loop? Remember, induced EMF only occurs when the magnetic flux through a loop is changing . entering: x = 0 to 3*a/2 exiting: x = d to d + 3*a/2 (b) Sketch the induced current I as a function of x over the full range of motion shown on the figure. Let positive I
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DQ10A_solution - Discussion Question 10A P212, Week 10...

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