What is the magnetic field at point P shown below ifa=3.39mm, b = 6.81mm, and the current 1=5,075A?Define positive as out of the page. Assume 3 significantdigits and units of Tesla.bPl—a— The straight line segments do notcontribute to B(P) since the currents arepointed directly towards (or away from) thepoint P. So we only have to worry about thearc shaped elements "a" and "b".You know that the value at the center of aμοιloop is B = HT. In this case each arc2rrepresents 1/4 of a loop, so the contributionμοιwill be B =8rAccording to the RHR, the contribution fromarc "a" is positive while the contribution fromarc "b" is negative.

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What is the magnetic field at point P shown below if a=3.39mm, b = 6.81mm, and the current 1=5,075A? Define positive as out of the page. Assume 3 significant digits and units of Tesla. b PI -a- 1

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Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

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Question

What is the magnetic field at point P shown below if
a=3.39mm, b = 6.81mm, and the current 1=5,075A?
Define positive as out of the page. Assume 3 significant
digits and units of Tesla.
b
Pl
—a—

The straight line segments do not
contribute to B(P) since the currents are
pointed directly towards (or away from) the
point P. So we only have to worry about the
arc shaped elements "a" and "b".
You know that the value at the center of a
μοι
loop is B = HT. In this case each arc
2r
represents 1/4 of a loop, so the contribution
μοι
will be B =
8r
According to the RHR, the contribution from
arc "a" is positive while the contribution from
arc "b" is negative.

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