$3.$ During the first $5$ ms $,$ in a particular generator, we can approximate the magnetic field through a loop of wire to be perfectly perpendicular and have a function over that tine of $\backslash (\backslash$mathrm$\{$B$\}(\backslash$mathrm$\{$t$\})=\backslash$left$(-0\mathrm{.}25\backslash$mathrm$\{$~T$\}/\backslash$mathrm$\{$s$\}^\{\backslash$wedge$\}\backslash$underline$\{2\}\backslash$mathrm$\{$t$\}^\{\backslash$wedge$\}2\backslash$right$.\backslash ).$ If the loop is $0\mathrm{.}5$ m in diameter and has $8000$ turns, calculate, at the $5$ ms time mark, the voltage induced on the loop and the induced magnetic field at the center of the circular loop id the resistance of the wire is $10$ kilo$-$Ohm