$[0/10$ Points$]$

SERCP$1120\mathrm{.}2\mathrm{.}0$P$\mathrm{.}008.$

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A neurologist is using a device, with a thin circular coil of current$-$carrying wire of radius $1\mathrm{.}5$ mm $,$ to stimulate neurons in a patient's brain. The coil is placed directly against the patient's skull, and everywhere within the area of the coil, the magnetic field changes from zero to $1\mathrm{.}30$ T $($perpendicular to the plane of the coil$)$ in $100$ ms $.$

What is the magnitude of the average emf induced around the circumference of this circular area in the brain? Express your answer in units of mV $.$

What is the initial magnetic flux through the given area? What is the final magnetic flux? What is the change in time? How does Faraday's law relate these quantities to the induced emf? Be careful with unit conversions. mV

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