Four infinitely long parallel wires carrying equal current I are arranged in such a way that when looking at the cross section, they are at the corners of a square, as shown in the right figure below. Currents in A and D point out of the page, and into the page at Band C. What is the magnetic field at the center of the square? [Hint: set a 2-dimensional reference system with origin in P; Use the formula for the magnetic field of an infinite wire and the superposition principle to find vector B] • P a B (× a

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a) Four infinitely long parallel wires carrying equal current / are arranged in such
a way that when looking at the cross section, they are at the corners of a
square, as shown in the right figure below. Currents in A and D point out of the
page, and into the page at B and C. What is the magnetic field at the center of
the square? [Hint: set a 2-dimensional reference system with origin in P; Use
the formula for the magnetic field of an infinite wire and the superposition
principle to find vector B]
C
D
P
A
а
Transcribed Image Text:a) Four infinitely long parallel wires carrying equal current / are arranged in such a way that when looking at the cross section, they are at the corners of a square, as shown in the right figure below. Currents in A and D point out of the page, and into the page at B and C. What is the magnetic field at the center of the square? [Hint: set a 2-dimensional reference system with origin in P; Use the formula for the magnetic field of an infinite wire and the superposition principle to find vector B] C D P A а
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