Four long, straight wires that are oriented perpendicular to the page carry currents I, 21, 31, and 51, as shown in the figure. The wires are all the same distance, d, from the point, P. Write a symbolic expression for the net magnetic field at the point, P, in terms of I, d, and constants (as needed). 51 O d ΟΙ P 31 21

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In a region that contains multiple current-carrying wires, the
net magnetic field at a given point, P, is the VECTOR SUM of
the magnetic fields produced by EACH wire at that point.
Bnet = B₁ + B₂ + ... = ΣB₁
where B; is the field produced by the ith wire at point, P.
For a given wire, the direction of its magnetic field will be
tangential to its circular field lines, which curl around the wire
as given by the RHR for Magnetic Fields as shown.
B
Food!
Transcribed Image Text:In a region that contains multiple current-carrying wires, the net magnetic field at a given point, P, is the VECTOR SUM of the magnetic fields produced by EACH wire at that point. Bnet = B₁ + B₂ + ... = ΣB₁ where B; is the field produced by the ith wire at point, P. For a given wire, the direction of its magnetic field will be tangential to its circular field lines, which curl around the wire as given by the RHR for Magnetic Fields as shown. B Food!
Four long, straight wires that are oriented perpendicular to the
page carry currents I, 21, 31, and 51, as shown in the figure. The
wires are all the same distance, d, from the point, P.
Write a symbolic expression for the net magnetic field at the
point, P, in terms of I, d, and constants (as needed).
Bnet =
MOI
πα
) ₁+ (
-3μ
2nd
51
O
P
I
P
31
21
Transcribed Image Text:Four long, straight wires that are oriented perpendicular to the page carry currents I, 21, 31, and 51, as shown in the figure. The wires are all the same distance, d, from the point, P. Write a symbolic expression for the net magnetic field at the point, P, in terms of I, d, and constants (as needed). Bnet = MOI πα ) ₁+ ( -3μ 2nd 51 O P I P 31 21
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