A long, straight wire going through the origin is carrying a current of $2\mathrm{.}50$ A in the positive z$-$direction $($see the figure below$).$

A current I flows in the $+$z$-$direction in a vertical rod that lies along the z$-$axis in an x$$y$$z coordinate space. A dashed$-$line circle of radius r is labeled vector B and lies in the x$$y plane.

HINT

At a point a distance r $=2\mathrm{.}30$ m from the origin on the positive x$-$axis, find the magnitude and direction of the magnetic field.

$($a$)$

magnitude of the magnetic field $($in T$)$

T

$($b$)$

direction of the magnetic field

$+$x$-$direction$$x$-$direction$+$y$-$direction$$y$-$direction$+$z$-$direction$$z$-$direction

At a point the same distance from the origin on the negative y$-$axis, find the magnitude and direction of the magnetic field.

$($c$)$

magnitude of the magnetic field $($in T$)$

T

$($d$)$

direction of the magnetic field

$+$x$-$direction$$x$-$direction$+$y$-$direction$$y$-$direction$+$z$-$direction$$z$-$direction