Example 22.5 The Magnetic Dipole Moment of a Coil A rectangular coil of dimensions 5.40 cm x 8.50 cm consists of 26 turns of wire and carries a current of 13.4 mA. A 0.350-T magnetic field is applied parallel to the plane of the coil. {A} Calculate the magnitude of the magnetic dipole moment of the coil. (B) What is the magnitude of the torque acting on the loop? SOLVE IT {A} Calculate the magnitude of the magnetic dipole moment of the coil. Conceptualize The magnetic moment of the coil is independent of any.f magnetic eld in which the loop resides, so it depends only.I on the geometry ofthe loop and the current it carries. Categorize We evaluate quantities based on equations developed in this section, so we categorize this example as a substitution problem. _> _, _ Use Equation F- : IA to calculate the #59\" = NH = (251(13-4 x 10 3 AND-0540 \"WHO-0359 m) magnetic moment associated with a coil = 1599943 \"F, A. m2 consisting of N turns: {B} What is the magnitude of the torque acting on the loop? Use T" 2 Fl:- x E noting that ii is T = IuccilB = Plenum-35'} Tl perpendicular to x\": = :| N - m MASTER IT HINTS: GETTING STARTED | I'M STUCK! A wire is bent into a circular coil of radius r = 5.0 cm with 22 turns clockwise, then continues and is bent into a square coil (length 2r) with 34 turns counterclockwise. A current of 11.3 mA is running through the coil, and a 0.350 T magnetic eld is applied to the plane of the coil. (a) What is the magnitude of the magnetic dipole moment of the coil? {b} What is the magnitude of the torque acting on the coil