square loop of side length a $=4\mathrm{.}5$ cm is placed a distance b $=1\mathrm{.}25$ cm from a long wire

carrying a current that varies with time at a constant rate,

I$($t$)=$ Qt$,$

where Q $=6\mathrm{.}3$ A$/$s$\text{'}$ is a constant.

$$Find an expression for the magnetic field due to the wire as a function of time t at a distance r from the wire, in terms of a$,$ b$,$ Q$,$ t$,$ r$,$ and fundamental constants. $(3)$

$$What is the magnitude of the flux through the loop in terms of the given variables at $+5$ s$?(5)$

$$If the loop has a resistance of $3\mathrm{.}5,$ how much induced current flows in the loop at this time?