Medical devices implanted inside the body are often powered using transcutaneous

Question

Medical devices implanted inside the body are often powered using transcutaneous energy transfer (TET), a type of wireless charging using a pair of closely spaced coils. An emf is generated around a coil inside the body by varying the current through a nearby coil outside the body, producing a changing magnetic flux. Calculate the average induced emf (in V) if each 13.0-turn coil has a radius of 1.70 cm and the current in the external coil varies from its maximum value of 13.5 A to zero in 6.00 × 10-6 s. (Hint: Recall from Topic 19 that the magnetic field at the center of the current-carrying external coil HoI is B N-, Assume this magnetic field is constant over the interior coil's area and oriented perpendicular to the internal coil.) HINT Apply Faraday's law. Click the hint button again to remove this hint.

Explanation / Answer

using

average induced emf = rate of change of magnetic flux

e = (d/dt)(phi_B)

e = (d/dt)(B*A)

e = A*dB/dt

dB/dt = (N*mu_o/2R)*(dI/dt)

dB/dt = (13*4*3.142*10^-7/(2*0.017))*(13.5/(6*10^-6))

dB/dt = 1081.21 T/s

e = A*dB/dt = 3.142*0.017^2*1081.21 = 0.982 V

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