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Physics 1 Problem Solutions 244

Physics 1 Problem Solutions 244 - 240 Chapt 31 Faradays Law...

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240 Chapt. 31 Faraday’s Law of Induction and Inductors where r 0 is a fiducial (or reference) radius and t 0 is a fiducial (or reference) time. At t = 0, the loop has radius zero. At t = t 0 , the loop has radius r 0 . a) What is the magnetic flux Φ due to the applied field linked by the loop in terms of the given variables B , r 0 , t , and t 0 ? b) What is magnitude of the induced emf E in the loop in terms of the given variables B , r 0 , t , and t 0 ? What is the SENSE of the emf (i.e., what is the direction of current flow that it would cause) when viewing the loop in the direction of the applied B-field? HINT: Remember Lenz’s law. Calculate the time-averaged induced emf first if you need to. c) Given that the loop has constant resistance R , what is the power dissipated in the loop by the induced current in in terms of the given variables B , r 0 , t , t 0 , and R ? d) What is the total energy dissipated E dis (i.e., lost to heat by the resistance) in the loop in the interval from t = 0 to t in terms of the given variables B , r 0 , t , t 0 and R ?
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