12 = -aý cos p + aê sin o 13 = -l1 14 = -12 is â Bo everywhere.

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a rectangular wire loop carries current 1, nas height b, width a, and is
centered on the origin. It can rotate about the z axis. For rotation angle o, the surface normal of
the rectangle enclosed by the loop is î = âu cos o + ý sin ø, and the vectors representing the four
sides of the loop are
1 = bê
12 = -aý cos o + aâ sin ø
13 = -l1
14 = -12
%3D
The magnetic flux density is & Bo everywhere.
(a) What is the magnetic flux through the loop as a function of ø?
12 =
-aỹ cos o
+aî sin ø
1 = bê
13
-1
în = âr cos o
B = &B
I4 =
+ ŷ sin ø
-12
ntine i.
Transcribed Image Text:a rectangular wire loop carries current 1, nas height b, width a, and is centered on the origin. It can rotate about the z axis. For rotation angle o, the surface normal of the rectangle enclosed by the loop is î = âu cos o + ý sin ø, and the vectors representing the four sides of the loop are 1 = bê 12 = -aý cos o + aâ sin ø 13 = -l1 14 = -12 %3D The magnetic flux density is & Bo everywhere. (a) What is the magnetic flux through the loop as a function of ø? 12 = -aỹ cos o +aî sin ø 1 = bê 13 -1 în = âr cos o B = &B I4 = + ŷ sin ø -12 ntine i.
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Given:

To find the magnetic flux through the loop is given as,

 

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