12 = —аў сos ф +aî sin ø 13 l1 = bê b `în = ât cos o a B = âB 14 -12 + ŷ sin o Figure 1: Geometry of wire loop rotating in magnetic field.

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I know that F=il x B. For the first Force; l1 =b z^ so the F1=bz^ cross x^B. 

12 =
—аў сos ф
+aâ sin o
l1 = bê
13
-1
în = â& cos o
a
14 =
-12
B = âB
+ ŷ sin o
Figure 1: Geometry of wire loop rotating in magnetic field.
Transcribed Image Text:12 = —аў сos ф +aâ sin o l1 = bê 13 -1 în = â& cos o a 14 = -12 B = âB + ŷ sin o Figure 1: Geometry of wire loop rotating in magnetic field.
Task 2 – Ampere's law
(a) What is the force F1 on segment l1 as a function of o?
F1
(b) What is the force F2 on segment l2 as a function of o?
F2
(c) What is the force F3 on segment 13 as a function of ø?
F3
(d) What is the force F4 on segment l4 as a function of ø?
F4
(e) Assume each of these forces acts at the center of the corresponding segment. What is the torque
magnitude 7 on the entire loop about the 2 direction, as a function of 4? (Vector torque is r x F
where r is the position where the force acts.)
Transcribed Image Text:Task 2 – Ampere's law (a) What is the force F1 on segment l1 as a function of o? F1 (b) What is the force F2 on segment l2 as a function of o? F2 (c) What is the force F3 on segment 13 as a function of ø? F3 (d) What is the force F4 on segment l4 as a function of ø? F4 (e) Assume each of these forces acts at the center of the corresponding segment. What is the torque magnitude 7 on the entire loop about the 2 direction, as a function of 4? (Vector torque is r x F where r is the position where the force acts.)
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