Mast gPh Assig gphys University of Michigan Physics 235 Winter 2015 Assignment 0
ID: 1316121 • Letter: M
Question
Mast gPh Assig gphys University of Michigan Physics 235 Winter 2015 Assignment 08-Magnetic forces and T Exercise 27.42 Exercise 27.42 The plane of a rectangular loop of wire with a width of 5.0cm and a height of 8.0cm is parallel to a magnetic field of magnitude 0.20T The loop carries a current of 6.2A. w c Search 46273736 Express your answer using two significant figures. N. m My Answers Give Up Part B What is the magnetic moment of the loop? Express your answer using two significant figures. A ma lly Answers Give Up Part C what is the maximum torque that can be obtained with the same total length of wire carrying the same current in this magnetic field? Express your answer using two significant figures. Mly Answers Give Up Get documents and other files posted by your instructor. signed in as Tony Bryant l Hele l close Resources previous l 3 of 14 l next Continue dbadk 6:43 PM 2/17/2015Explanation / Answer
B.
Magnetic moment, mu = IA
mu = 6.2 * (0.05 x 0.08) = 0.0248 Am2
C.
The maximum torque would be achieved for the loop with the largest area for the available length of wire. The shape of the optimum loop is a circle. If the sides are a and b, then the radius r of the circle satis?es
2pir = 2(a + b)
r = (a + b)/pi = (0.05 + 0.08) / pi
r = 0.0414
Maximum Torque = pir2IB = 3.14 * (0.0414)^2 * 6.2 * 0.2
Maximum Torque = 6.674 x 10-3 Nm