hw16 - Physics 21 Fall, 2008 Solution to HW-16 Faradays Law...

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Unformatted text preview: Physics 21 Fall, 2008 Solution to HW-16 Faradays Law Consider a rectangular loop of wire with sides x and y placed in a region where a uniform magnetic field B exists (see the diagram). The resistance of the loop is R . Initially, the field is perpendicular to the plane of the loop and is directed out of the page. The loop can rotate about either the vertical or horizontal axis, passing through the midpoints of the opposite sides. (a) (multiple choice) Which changes would induce an elec- tromotive force (emf) in the loop? (b) Find the ux through the loop. (c) If the magnetic field steadily decreases from B to zero during a time interval t , what is the magni- tude E of the induced emf? (d) If the magnetic field steadily decreases from B to zero during a time interval t , what is the magnitude I of the induced current? (e) If the magnetic field steadily decreases from B to zero during a time interval t , what is the direction of the induced current? (f) (multiple choice) Which changes would result in a clockwise emf in the loop? (a) Any of the following changes would change the ux through the loop: The magnitude of B increases; The magni- tude of B decreases; The loop rotates about the vertical axis (vertical dotted line) shown in the diagram; The loop rotates about the horizontal axis (horizontal dotted line) shown in the diagram....
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hw16 - Physics 21 Fall, 2008 Solution to HW-16 Faradays Law...

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