Problem 2: [30\% of Assignment Value]
A long wire, extending well beyond the borders of the diagram, is aligned with the $y$ axis and carries positive current $I$. An $L \times W$ rectangular Amperian loop with sides aligned with the coordinate axes resides in the $x-z$ plane and is a distance $d$ from the wire. The direction of the current and the direction in which the loop is traversed are clearly indicated.
Part (a)
The right-hand rule relates the orientation of a plane Amperian loop to the direction of the positive normal to the loop. Drag the appropriate image of a right hand to the area inside the Amperian loop that relates the loop orientation to the direction of the normal vector.
Part (b)
Based upon your response to Part (a), which of the following best represents the direction of the normal vector to the oriented loop?
Part (c)
The right-hand rule relates the direction that lines of magnetic field are traced around a long, straight wire to the direction of the current. Drag the appropriate image of a right hand to the area by the wire to relate the current direction to the orientation of the field lines.
Part (d)
Based upon your response to Part (c), which of the following best represents the direction of the magnetic field where it passes through the plane of the Amperian loop?
Part (e)
Which of the following best represents the magnetic flux through the Amperian loop?
$\Phi_B > 0$ $\Phi_B < 0$
$\Phi_B = 0$
