Transcranial magnetic stimulation is a noninvasive technique usedto stimulate re

Question

Transcranial magnetic stimulation is a noninvasive technique usedto stimulate regions of the human brain. A small coil is placed onthe scalp, and a brief burst of current in the coil produces arapidly changing magnetic field inside the brain. The induced emfcan stimulate neuronal activity. (a) One such device generates anupward magnetic field within the brain that rises from zero to 1.50T in 125 ms. Determine the induced emf around a horizontal circleof tissue of radius 1.90 mm. = 1 V Direction (as seen fromabove) 2 ---Select--- clockwise counterclockwise (b) The field nextchanges to 0.500 T downward in 76.0 ms. Compare the emf induced inthis process with that in part(a)? b/a = 3 Direction (as seen fromabove)

Explanation / Answer

(a)the induced emf around a horizontal circle of tissue E = N * A * B * w = N * A * B * 2f = N * A * B *(2/T) -----------(1) N = 1 A = * r^2 where r = 1.90 mm = 1.90 * 10^-3 m or A = 3.14 * (1.90 * 10^-3)^2 = 11.33 * 10^-6 m^2 B = (1.50 - 0) T = 1.50 T the magnetic field changes in a time T = 125 ms = 125 *10^-3 s substituting the values in equation (1) we get the inducedemf. (b)the change in magnetic field is B = (1.50 - 0.500) T = 1.00T the magnetic field changes in a time T = 76.0 ms = 76.0 *10^-3 s substituting the values in equation (1) we get the inducedemf.

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