Academic Integrity: tutoring, explanations, and feedback — we don’t complete graded work or submit on a student’s behalf.

BIO Transcranial Magnetic Stimulation Transcranial magnetic stimulation (TMS) is

ID: 1545964 • Letter: B

Question

BIO Transcranial Magnetic Stimulation Transcranial magnetic stimulation (TMS) is a noninvasive method for studying brain function, and possibly for treatment as well. In this technique, a conducting loop is held near a person's head, as shown in the figure.(Figure 1) When the current in the loop is changed rapidly, the magnetic field it creates can change at the rate of 3.00×104T/s. This rapidly changing magnetic field induces an electric current in a restricted region of the brain that can cause a finger to twitch, bright spots to appear in the visual field (magnetophosphenes), or a feeling of complete happiness to overwhelm a person.

If the magnetic field changes at the previously mentioned rate over an area of 1.03×102 m2 , what is the induced emf?

Explanation / Answer


magnetic flux through the area = B*A


induced emf = rate of change in magnetic flux

emf = (d/dt)*(B*A)


emf = A*(dB/dt)


given A = 1.03*10^-2 m^2


dB/dt = 3*10^4 T/s

induced emf = 1.03*10^-4*3*10^4 = 3.09V <<<<<------answer