A stent is a cylindrical tube, usually made of metal mesh, typically associated with the preventation of heart attacks, as its designed to prevent constriction in blood vessels. Often, the stent is heated after insertion to prevent cell growth that could cause the constriction to recur. One method to heat the stent is placing the patient in a changing magnetic field, so that induced currents heat the stent. If a stainless-steel stent is 10 mm long by 3.5 mm in diameter with total resistance 25 mΩ and you model the stent as a wire loop in the optimum orientation, find the rate of change of magnetic field necessary to heat it at a rate of 240 W. Please show all work with equations and explanations (with steps).

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter24: Electromagnetic Waves
Section24.1: Displacement Current And The Generalized Form Of Ampère’s Law
Problem 24.1QQ
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A stent is a cylindrical tube, usually made of metal mesh, typically associated with the preventation of heart attacks, as its designed to prevent constriction in blood vessels. Often, the stent is heated after insertion to prevent cell growth that could cause the constriction to recur. One method to heat the stent is placing the patient in a changing magnetic field, so that induced currents heat the stent. If a stainless-steel stent is 10 mm long by 3.5 mm in diameter with total resistance 25 mΩ and you model the stent as a wire loop in the optimum orientation, find the rate of change of magnetic field necessary to heat it at a rate of 240 W.

Please show all work with equations and explanations (with steps).

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