Transcranial magnetic stimulation (TMS) is a noninvasive technique used to stimulate regions of the human brain. A small coil is placed on 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 1.5 T in 120 ms. Determine the induced emf within a circle of tissue of radius 1.6 mm and that is perpendicular to the direction of the field.

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Thu Nguyệt 5 years 2021-09-03T05:06:49+00:00 1 Answers 33 views 0

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  1. Dulcie
    0
    2021-09-03T05:08:44+00:00
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    Answer:

    0.125 volts

    Explanation:

    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 1.5 T in 120 ms.

    We need to find the induced emf within a circle of tissue of radius 1.6 mm and that is perpendicular to the direction of the field. The formula for the induced emf is given by :

    \epsilon=-\dfrac{d\phi}{dt}

    Where

    \phi is magnetic flux

    So,

    \epsilon=-\dfrac{d(BA)}{dt}\\\\=2\pi r\times \dfrac{dB}{dt}\\\\=2\pi \times 1.6\times 10^{-3}\times \dfrac{1.5-0}{120\times 10^{-3}}\\\\=0.125\ V

    So, the induced emf is equal to 0.125 volts.

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