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PLEASE HELP THIS TWO QUESTIONS Transcranial magnetic stimulation (TMS) is a noni

ID: 1440482 • Letter: P

Question

PLEASE HELP THIS TWO QUESTIONS

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 1.7 mm and that is perpendicular to the direction of the field technique the brain that mt Your response differs significantly from the correct answer. Rework your solution from the beginning and check each step carefully. mV perpendicular tote the brain. Th carefully, mv

Explanation / Answer

First one:

B1 = 0, B2 =1.2 T, t =100 ms, r =1.7 mm

From faradays law

induced emf e = -d(phi)/dt = -A(B2-B1)/t

e =(3.14*1.7*1.7*10^-6*1.2)/(100*0.001)

e = 0.109 V


second one:

(a) r =3.5 cm , N =700 , L =25 cm

Inductance L = uoN^2A/L

L = (4*3.14*10^-7*700*700*3.14*3.5*3.5*10^-4)/(0.25)

L = 9.47 mH

(b) From lenz law

induced emf = Ldi/dt

di/dt = 90mV/9.47 mH

di/dt = 9.5 A/s

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