$[10/14$ Points$]$

SERPSE$1028\mathrm{.}5.$P$\mathrm{.}034.$

PRACTICE ANOTHER

A rectangular loop of wire has dimensions $0\mathrm{.}460$ m by $0\mathrm{.}285$ m $.$ The loop is pivoted at the $x$ axis and lies in the $xy$ plane as shown in the figure below. A uniform magnetic field of magnitude $1\mathrm{.}43$ T is directed at an angle of $40\mathrm{.}0$ with respect to the $y$ axis with field lines parallel to the $yz$ plane. The loop carries a current of $0\mathrm{.}828$ A in the direction shown. $($Ignore gravitation.$)$ We wish to evaluate the torque on the current loop.

$($k$)$ Compute the magnitude of the magnetic moment of the loop.

$A*m^2$

$(1)$ What is the angle between the magnetic moment vector and the magnetic field? $($Enter the smaller angle.$)$

$(m)$ Compute the torque on the loop using the results to parts $(k)$ and $(1).($Enter the magnitude.$)$

$N*m$