(d) What is the force F4 on segment la as a function of o? 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 i direction, as a function of o? (Vector torque is r x F where r is the position where the force acts.) T = () If we want this torque to always be non-negative, over what range of o (from the interval (0, 360°) should the current i be positive? (1) Over what range of o (from the interval (0, 360°) should the current i be negative?
(d) What is the force F4 on segment la as a function of o? 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 i direction, as a function of o? (Vector torque is r x F where r is the position where the force acts.) T = () If we want this torque to always be non-negative, over what range of o (from the interval (0, 360°) should the current i be positive? (1) Over what range of o (from the interval (0, 360°) should the current i be negative?
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stuck on the last 3 of task 2, I found the forces already.
Transcribed Image Text:Task 2- Ampere's law
(a) What is the force F, on segment 1, as a function of ?
F1
(b) What is the force F2 on segment l2 as a function of 6?
F2 :
(c) What is the force Fg on segment ls as a function of 6?
F3 :
(d) What is the force F4 on segment la as a function of o?
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 i direction, as a function of o? (Vector torque is r x F
where r is the position where the force acts.)
() If we want this torque to always be non-negative, over what range of o (from the interval
(0, 360°) should the current i be positive?
() Over what range of o (from the interval [0,360°) should the current i be negative?
Transcribed Image Text:Task 1- Faraday's law
As illustrated in Figure 1, a rectangular wire loop carries current i, has height b, width a, and is
centered on the origin. It can rotate about the z axis. For rotation angle d, the surface normal of
the rectangle enclosed by the loop is i = i cos 6 + ý sin d, and the vectors representing the four
sides of the loop are
l2 = -aý cos o + aử sin ở
l = -l
1 = -
The magnetic flux density is & By everywhere.
(a) What is the magnetic flux through the loop as a function of 6?
12 =
-aý cos o
+at sin o
13 =
-l
B-B
1 =
-1
+ ý sin o
Figure 1: Geometry of wire loop rotating in magnetic field.
Project 2 Worksheet Solutions
(b) Assuming o = wt, what is the voltage induced in the loop as a function of o?
v(t) :
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