Problem III

$($d$)16{10}^{-7}Tm.$

$($e$)-16{10}^{-7}Tm.$

$($f$)24{10}^{-7}Tm.$

$($g$)-24{10}^{-7}Tm.$

$($h$)32{10}^{-7}Tm.$

$($i$)-32{10}^{-7}Tm.$

$($j$)$ none of the above.

$9.$ Find $o{\displaystyle \underset{\phantom{}}{\overset{\phantom{}}{}}}$vec$(B)*dvec(s)$ along path $c.$

The figure above shows four currents $(i_1,i_2,i_3,i_4)$ running in four long straight wires perpendicular to the page. The directions are as shown $($the two on the left are out of the page and the two on the right are into the page$).$ The magnitudes of the currents are $4\mathrm{.}0$ A each. The figure also shows three circular counterclockwise paths of integration $($dashed lines$)$ labeled $a,b$ and $c.$

$7.$ Find $o{\displaystyle \underset{\phantom{}}{\overset{\phantom{}}{}}}$vec$(B)*dvec(s)$ along path $a.$

$($a$)0$ Tm $.$

$($b$)8{10}^{-i}Tm.$

$($c$)-8{10}^{-7}Tm.$

$($d$)16{10}^{-7}Tm.$

$($e$)-16{10}^{-7}Tm.$

$($f$)24{10}^{-7}Tm.$

$($g$)-24{10}^{-7}Tm.$

$($h$)32{10}^{-7}Tm.$

$($i$)-32{10}^{-7}Tm.$

$($j$)$ none of the above.

$8.$ Find $o{\displaystyle \underset{\phantom{}}{\overset{\phantom{}}{}}}$vec$(B)*dvec(s)$ along path $b.$

$($a$)0$ Tm $.$

$($b$)8{10}^{-7}Tm.$

$($c$)-8{10}^{-7}Tm.$

$(2$ points$)$

$(2$ points$)$

$($a$)0$ Tm $.$

$($b$)8{10}^{-7}Tm.$

$($c$)-8{10}^{-7}Tm.$

$($d$)16{10}^{-7}Tm.$

$($e$)-16{10}^{-7}Tm.$

$($f$)24{10}^{-7}Tm.$

$($g$)-24{10}^{-7}Tm.$

$($h$)32{10}^{-7}Tm.$

$($i$)-32{10}^{-7}Tm.$

$($j$)$ none of the above.

$(2$ points$)$

Please show me how, thanks.