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

ID: 1440440 • Letter: T

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 1.1 T in 100 ms. Determine the magnitude of the induced emf within a circle of tissue of radius 1.8 mm and that is perpendicular to the direction of the field. e m f = .0622 Incorrect: Your answer is incorrect. Your response differs from the correct answer by more than 10%. Double check your calculations. mV

Explanation / Answer

induced emf = rate of change on mnagnetic flux

e = d(NBA)/dt

e = NA dB/dt

N = no. of turns = 1

A = pi r^2 = pi x (1.8 x 10^-3)^2 = 1.018 x 10^-5 m^2

dB/dt = (1.1 - 0) / (100 x 10^-3) = 11 T/s


e = 1 x 1.018 x 10^-5 x 11 = 1.12 x 10^-4 Volt

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