$[0/1$ Points$]$

SERPSE$1030\mathrm{.}1.$P$\mathrm{.}004.$MI$.$

A long solenoid has $n=360$ turns per meter and carries a current given by $I=31\mathrm{.}0(1-e^{-1\mathrm{.}60t}),$ where I is in amperes and $t$ is in seconds. Inside the solenoid and coaxial with it is a coil that has a radius of $R=6\mathrm{.}00cm$ and consists of a total of $N=250$ turns of fine wire $($see figure below$).$ What emf is induced in the coil by the changing current? $($Use the following as necessary: $t.$ Assume $E$ is in mV and $t$ is in seconds.$)$

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