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1. A 85 turn elastic circular coil of wire initially has a radius of 74.2 cm and is immersed in a uniform magnetic field with a strength of 0.495 T. At t 0, the coil is released and begins decreasing in radius at a constant rate of 7.22 cm/s. While it contracts, the number of turns does not change. a) Write the magnetic flux through a single turn of the coil as a function of time. (Hint: What causes the flux to change?) b) Determine the magnitude of the induced EMF in the entire circular coil the moment that it begins to contract (that is, t 0). What is the direction of the induced current if the magnetic field is into the page, clockwise or counterclockwise? Be sure to explain your reasoning. The entire coil has a resistance of 6.82 Ω. Determine the power dissipated in the coil when it begins to contract. What is the magnitude of the EMF after it has contracted for 5.40 s? c) d)
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