A stent is a cylindrical tube, often made of metal mesh,thats inserted into a bl

Question

A stent is a cylindrical tube, often made of metal mesh,thats inserted into a blood vessel to overcome a constriction. Its 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 4.5 mm diameter, with total resistance 41 m. Treating the stent as a wire loop in the optimum orientaion, find the rate of change of magnetic field needed for a heating power of 250 mW.

Explanation / Answer

From the given power, we can find how much current is needed

P = I2R

(250 X 10-3) = I2(41 X 10-3)

I = 2.47 A

Then, EMF = = IR = BA/t

We need B/T

B/t = IR/A = (2.47)(41 X 10-3)/()(2.25 X 10-3)2

B/t = 6367 T/s

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