$(13\backslash \%)$ Problem $7$: A square loop of side lengtha$=4\mathrm{.}7$cmis placed a distanceb$=1\mathrm{.}4$cmfrom a long wire carrying a current that varies with time at a constant rate, i$.$e$.$ whereQ$=5\mathrm{.}3$A$/$sis a constant. $\backslash [$ I$($t$)=$Q t$,\backslash ]25\%$Part $($a$)$ Find an expression for the magnetic field due to the wire as a function of timetat a distancerfrom the wire, in terms ofa,b$,$Q$,$t$,$ and fundamental constants.$25\%$Part $($b$)$ What is the magnitude of the flux through the loop? Select the correct expression.$25\%$Part $($c$)$ If the loop has a resistance of$9\mathrm{.}5,$ how much induced current flows in the loop?$25\%$Part $($d$)$ In what direction does this current flow? Hints:deduction per hint. Hints remaining: $1$ Feedback: deduction per feedback.