Transcranial magnetic stimulation (TMS) is a noninvasive technique used to stimu

Question

Transcranial magnetic stimulation (TMS) is a noninvasive technique used to stimulate regions of the human brain. A small coil is placed on the scalp, and a brief burst of current in the coil produces a rapidly changing magnetic field inside the brain. The induced emf can be sufficient to stimulate neuronal activity. One such device generates a magnetic field within the brain that rises from zero to 1.9 T in 100 ms. Determine the magnitude of the induced emf within a circle of tissue of radius 1.7 mm and that is perpendicular to the direction of the field. epsilon = mV

Explanation / Answer

Induced EMF is the change in flux per unit time

Change in Flux= B.A (change in dot product of magnetic field and area)

Change in Flux = 1.9*pi*1.72*10^-6 - 0= 1.725*10^-5

Induced Emf= -1.725*10^-5/(100*10*^-3 )= -0.0001725 V= -0.1725 mV

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