Problem $4$

a$.$ The water main supplying Morgan State is $2\mathrm{.}50$ m in diameter and the average water velocity is $6\mathrm{.}00\frac{m}{s}.$ If the pipe runs perpendicular to the magnet field of Earth with a value of $5\mathrm{.}00{10}^{-5}T,$ determine the Hall voltage produced.

$[2$ points$]$

b$.$ A cable carrying current to a car starter motor of length $750$ mm makes an angle of $60$ with the Earth's field of $5\mathrm{.}50{10}^{-5}T.$

i$.$ Determine the current when the wire experiences a force of $7\mathrm{.}00{10}^{-3}N.[4$ points$]$

ii$.$ The wire is run between the poles of a strong horseshoe magnet, subjecting $5\mathrm{.}00$ cm of it to a $1\mathrm{.}75$ T field, determine the force is exerted on this segment of wire.

$[3$ points$]$