A square loop of side length a$=3\mathrm{.}27$cma$=3\mathrm{.}27$cm is placed a distance b$=1\mathrm{.}01$cmb$=1\mathrm{.}01$cm from a long wire carrying a current that varies with time at a constant rate as$,$

I$($t$)=$QtI$($t$)=$Qt

where Q$=2\mathrm{.}13$A$/$sQ$=2\mathrm{.}13$A$/$s is a constant.

Find an expression for the magnetic field due to the wire as a function of time at a distance rr from the wire in terms of aa$,$ bb$,$ QQ$,$ tt$,$ rr$,$ and fundamental constants.

What is the magnitude of the flux through the loop? Select the correct expression.

If the loop has a resistance of $2\mathrm{.}692\mathrm{.}69,$ then what is the induced current, in amperes, that flows in the loop?

In what direction does this current flow?