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Transcranial magnetic stimulation (TMS) is a noninvasive method for studying brain function, and possibly for treatment as well. In this technique, a rapidly changing magnetic field is applied to a person's brain. This can cause a finger to twitch, a bright spot to appear in the visual field, or a feeling of complete happiness to overwhelm a person. If the magnetic field changes at the previously mentioned rate over an area of 1.75 10-2 m2, what is the induced emf?

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Answer:

525 V

Explanation:

A = Area = [tex]1.75\times 10^{-2}\ m^2[/tex]

[tex]\dfrac{dB}{dt}[/tex] = Rate of change of magnetic field = [tex]3\times 10^4\ T/s[/tex] (assumed)

Induced electromotive force is given by

[tex]E=A\dfrac{dB}{dt}\\\Rightarrow E=1.75\times 10^{-2}\times 3\times 10^{4}\\\Rightarrow E=525\ V[/tex]

The induced electromotive force is 525 V

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