A single loop of copper wire, lying flat in a plane, has an area of $7\mathrm{.}60$ cm$2$ and a resistance of $3\mathrm{.}00.$ A uniform magnetic field points perpendicular to the plane of the loop. The field initially has a magnitude of $0\mathrm{.}500$ T$,$ and the magnitude increases linearly to $2\mathrm{.}00$ T in a time of $1\mathrm{.}10$ s$.$ What is the induced current $($in mA$)$ in the loop of wire over this time