A rectangular loop with sides of length $a=1\mathrm{.}70cm$ and $b=4\mathrm{.}10cm$ is placed near a wire that carries a current that varies as a function of time: $i_t=2\mathrm{.}49+$

$1\mathrm{.}12t^2$ where the current is in Amperes and the time is in seconds. The distance from the straight wire to the closest side of the loop is $d=0\mathrm{.}460cm.$

What is the mannotic flux through the loop at time $t=0\mathrm{.}60$ seconds? $($Define positive flux into the page.$)$

The magnetic flux is the surface $($area$)$ integral of magnetic field over the loop.

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What is the induced e$.$m$.$f$.$ in the loop at time $t=0\mathrm{.}60$ seconds? $($Note that positive emf is clockwise.$)$

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