A square loop of sidelength a and current I is suspended beneath a long straight wire of current Iw$.$ Givens: a$=10$cm$,$ d$=1$cm$,$ I$=15$A$,$ M$=76$g$,$ g$=98$ms$2($a$)$ Draw the B$-$ eld created by the straight wire and write an expression for the B$-$ eld a distance y from the wire. $($your answer will be a function of y$)($b$)$ Draw the direction of the magnetic forces on each segment of the loop. $($c$)$ The loop has a total mass M$.$ What current Iw is required to suspend the loop in the air against gravity. c$\mathrm{.}1)$ Write an expression for the force on segment $1.$ c$\mathrm{.}2)$ Write an integral expression for the force on segment $2.($Do not evaluate the integral$)$ c$\mathrm{.}3)$ Write an expression for the force on segment $3.$ c$\mathrm{.}4)$ Write an integral expression for the force on segment $4.($Do not evaluate the integral$)$ c$\mathrm{.}5)$ Write an expression for the force of gravity on the loop. c$\mathrm{.}6)$ Sum the forces and solve for Iw$.($Iw will be huge