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Problems5_2010 - t=0 The resistance of the loop is 1.00 Ohm...

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Physics 205 Electricity and magnetism, Fall 2010. Problem set #5. Problem 1. A 1 m long metal wire is moving with velocity of 5 m/s in the direction parallel to the infinitely long wire carrying the current of 1A. This 1 m long wire is oriented perpendicularly to the infinitely long wire, and the end closer to the infinitely long wire is located 0.5 m from it. Find the induced EMF. Hint: solving the problem required integration. Problem 2: If 3 m of copper wire (diameter 1.00 mm) is formed into a coil with 10 circular loops placed perpendicular to the uniform magnetic field that is increasing at a constant rate of 10.0 mT/s, at what rate is thermal energy generated in that coil? Problem 3. Consider the eddy-current braking. A square loop, with 10 cm side is shot with the velocity 10 m/s into the uniform magnetic field with magnitude 0.1 T. The field is perpendicular to the plane of the loop, and the loop starts entering magnetic field at
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Unformatted text preview: t=0. The resistance of the loop is 1.00 Ohm and the mass is 1.0 g. Assume the loop is moving to the right along x-axis and that x(t=0)=0. Find the velocity of the loop 0.1 seconds later. Problem 4. You are asked to build an LC circuit that oscillates at 10kHz. In addition, the maximal current must be 0.1 A and the maximal energy stored in the capacitor must be 10-5 J. What values of inductance and capacitance you must use? Problem 5. The windings of a large electromagnet have an inductance of 5.0 H and a resistance of 5.00 Ohm. The electromagnet is connected to the external EMF of 230 V. After electromagnet is switched on, how long does it take for the energy in the inductor to reach 50% of its final value? What is the final, steady value of the current in the inductor after fairly long time?...
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