One long wire carries current $24\mathrm{.}0$ A to the left along the x axis. A second long wire carries current $56\mathrm{.}0$ A to the right along the line $($y $=0\mathrm{.}280$ m$,$ z $=0).$

$($a$)$ Where in the plane of the two wires is the total magnetic field equal to zero?

y $=$

Your response differs from the correct answer by more than $10\%.$ Double check your calculations. m

$($b$)$ A particle with a charge of $2\mathrm{.}00$C is moving with a velocity of $150$ Mm$/$s along the line $($y $=0\mathrm{.}100$ m$,$ z $=0).$ Calculate the vector magnetic force acting on the particle. $($Ignore relativistic effects.$)$

$=$

$\mathrm{.}661$

N

$($c$)$ A uniform electric field is applied to allow this particle to pass through this region undeflected. Calculate the required vector electric field.

$=$

$3\mathrm{.}306$e$4$

N$/$C