A wire on a circuit board has a length L$=3\mathrm{.}3$mm and carries a current I$=1\mathrm{.}55$A in the positive y direction. A nearby circuit element generates a magnetic field in the vicinity of the wire given by

B$==$Bxi$^+$Byj$^+$Bzk$^(9\mathrm{.}5$G$)$i$^+(8\mathrm{.}1$G$)$j$^+(1\mathrm{.}1$G$)$k$^$

$($a$)$ Calculate the magnitude of the magnetic field, in guass, in the vicinity of the wire due to the circuit element. $($b$)$ Calculate the x component of the magnetic force, in newtons, exerted on the wire by the magnetic field due to the circuit element. $($c$)$ Calculate the y component of the magnetic force, in newtons, exerted on wire by the magnetic field due to the circuit element. $($d$)$ Calculate the z component of the magnetic force, in newtons, exerted on wire by the magnetic field due to the circuit element.