A stent is a cylindrical tube, often made of metal mesh, that\'s inserted into a

Question

A stent is a cylindrical tube, often made of metal mesh, that's inserted into a blood vessel to overcome a constriction. It's sometimes necessary to heat the stent after insertion to prevent cell growth that could cause the constriction to recur One method is to place the patient in a changing magnetic field, so that induced currents heat the stent. Consider a stainless-steel stent 12 mm long by 4.3 mm diameter, with total resistance 31 m Treating the stent as a wire loop in the optimum orientation, find the rate of change of magnetic field needed for a heating power of 270 mW . Express your answer using two significant figures. dt kT/s

Explanation / Answer

Here ,

heating power = 270 mW

I^2 * R = 270 * 10^-3

I^2 * 31 *10^-3 = 270 * 10^-3

I = 2.95 A

NOw, dB/dt * area = I * R

dB/dt * 0.012 * 0.0043 = 2.95 * 31 *10^-3

solving for dB/dt

dB/dt = 1.77 kT/s

the rate of change of magnetic field is 1.77 kT/s

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