Task 1- Faraday's lawAs illustrated in Figure 1, a rectangular wire loop carries current i, has height b, width a, and iscentered on the origin. It can rotate about the z axis. For rotation angle d, the surface normal ofthe rectangle enclosed by the loop is i = i cos 6 + ý sin d, and the vectors representing the foursides of the loop arel2 = -aý cos o + aử sin ởl = -l1 = -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 o13 =-lB-B1 =-1+ ý sin oFigure 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) :

Task 1- Faraday's law As illustrated in Figure I, a rectangular wire loop carries current i, has height a, width a, and is centered on the origin. It can rotate about the : axis. For rotation angle d, the surface normal of the rectangle enclosed by the loop is i = i cos o+ ý sin d, and the vectors representing the four sides of the loop are k= -aj coso + ai sin o h = -h I = -l The magnetic flux density is à Bo everywhere. (a) What is the magnetic flux through the loop as a function of o?

Task 1- Faraday's law As illustrated in Figure I, a rectangular wire loop carries current i, has height a, width a, and is centered on the origin. It can rotate about the : axis. For rotation angle d, the surface normal of the rectangle enclosed by the loop is i = i cos o+ ý sin d, and the vectors representing the four sides of the loop are k= -aj coso + ai sin o h = -h I = -l The magnetic flux density is à Bo everywhere. (a) What is the magnetic flux through the loop as a function of o?

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Bar Magnet

In physics, magnetism is a phenomenon exhibited by a magnetic substance that exerts either attractive or repulsive force. A bar magnet is either a rectangular or round and hollow fit comprised of ferromagnetic materials and has a fanciful attractive field surrounded by it.

Question

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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