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 1.2 T in 100 ms. Determine the magnitude of the induced emf within a circle of tissue of radius 1.1 mm and that is perpendicular to the direction of the field. E = mV

Explanation / Answer

Note that for constant area,

emf = A (delta B) / delta(t)

Here,

delta B = 1.2 T
delta t = 100 ms = 0.100 s
A = pi*r^2 = 3.801E-6 m^2

Thus,

emf = 4.56*10^-5 V

= 0.0456 mV   [ANSWER]

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