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 1.7 T in 100 ms. Determine the magnitude of the induced emf within a circle of tissue of radius 1.0 mm and that is perpendicular to the direction of the field.

Explanation / Answer

data given in the question is

magnetic field   B= 1.7T

time t=100milli sec =0.1s

radius R=1mm = 0.001m

Induced emf = -d/dt = BA/t = BR²/t = (1.7)(3.14)(0.001)² / (0.1)

= 5.338 x 10^-5 volts

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