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110120_hw1 - (e.g between the center point and the open end...

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January 20, 2011 PHYS 4132 Homework 1 Due date: January 27, 2011 1. A current flowing through a solenoid with N windings and radius R creates a uniform magnetic field which varies with time B (t) = B 0 sin (ωt). a. Calculate the induced electric field. b. Plot the amplitude of the B and the E field as function of time. 2. A flat metal spiral (with a constant distance h between coils) and a total number of coils N is placed in a uniform magnetic field B = B 0 c os(ω t) perpendicular to the plane of the spiral. Evaluate the total electromotive force induced in the spiral
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Unformatted text preview: (e.g. between the center point and the open end). Assume N >>1. 3. Consider a rectangular loop of wire, of width a and length b , rotating with an angular velocity ω about its central axis parallel to b and lying in a uniform, time dependent magnetic field B = B sin(ωt) perpendicular to the plane of the loop at t=0 . Find the emf induced in the loop, and show that it alternates at twice the frequency f=ω/(2π)....
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