0. -2 points SerPSE9 29 P048.W My Notes Ask Your A current of 28.0 mA is maintai

Question

0. -2 points SerPSE9 29 P048.W My Notes Ask Your A current of 28.0 mA is maintained in a single circular loop of 1.70 m circumference. A magnetic field of 0.750 T is directed parallel to the plane of the loop. (a) Calculate the magnetic moment of the loop. mA m2 (b) What is the magnitude of the torque exerted by the magnetic field on the loop? mN m Need Help?Remah 11-2 points SerPSE9 29 P0T3 My Notes Ask Your A uniform magnetic field of magnitude 0.155 T is directed along the positive x axis. A positron moving at a speed of 5.50 106 m/s enters the field along a direction that makes an angle of = 85.0° with the x axis (see figure below). The motion of the particle is expected to be a helix. (a) Calculate the pitch p of the trajectory as defined in figure. (b) Calculate the radius r of the trajectory as defined in figure. Need Help?Re Submit Assignment Save Assignment Progress

Explanation / Answer

10) a) r = s / 2 pi = 1.7 / 2 pi = 0.270 m

magnetic moment of the loop = i A = i (pi r2)

= 28 * 10-3 * (pi * 0.2702)

= 6.4 mA.m2

b) torque T = i A B = i (pi r2) B

= 28 * 10-3 * (pi * 0.2702) * 0.750

= 4.81 mN.m

11) a) pitch p = (v cos theta) * (2 pi m / q B)

= (5.5 * 106 * cos 85 * 2 pi * 9.11 * 10-31) / (1.6 * 10-19 * 0.155)

= 1.1 * 10-4 m

b) r = m v / q B

= (9.11 * 10-31 * 5.5 * 106 * sin 85) / (1.6 * 10-19 * 0.155)

= 2.0 * 10-4 m

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