Two parallel long (infinite for our purposes) wires are oriented along the z-axis. The figure below shows the (xy)-plane perpendicular to the wires, including the positions where the wires cross this plane. The wires carry some unknown electric currents I₁ and 12, which you need to find from a single measurement of the magnetic field B=Bx i + By j at point A, whose position in the plane is also indicated. We will treat the currents algebraically: the current I is positive when it runs in the direction of the z-axis and negative when it runs in the opposite direction. In the right-hand system of coordinates, the z-axis is directed out of the screen towards us. The geometric parameters are known: a=1.02 cm, b=1.15 cm. b A 12 a a x Given the measurement of the magnetic field: Bx=-0.48 G and By=0.64 G, what is the unknown current I₁?: 1₁ = A. What is the unknown current I₂?: 12= A.

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ISBN:9781305952300
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Chapter1: Units, Trigonometry. And Vectors
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Two parallel long (infinite for our purposes) wires are oriented along the z-axis. The figure below shows the (xy)-plane
perpendicular to the wires, including the positions where the wires cross this plane. The wires carry some unknown electric
currents I₁ and 12, which you need to find from a single measurement of the magnetic field B=Bx i + By j at point A,
whose position in the plane is also indicated. We will treat the currents algebraically: the current I is positive when it runs
in the direction of the z-axis and negative when it runs in the opposite direction. In the right-hand system of coordinates,
the z-axis is directed out of the screen towards us. The geometric parameters are known: a=1.02 cm, b=1.15 cm.
b
A
12
a
a
x
Given the measurement of the magnetic field: Bx=-0.48 G and By=0.64 G,
what is the unknown current I₁?:
1₁ =
A.
What is the unknown current I₂?:
12=
A.
Transcribed Image Text:Two parallel long (infinite for our purposes) wires are oriented along the z-axis. The figure below shows the (xy)-plane perpendicular to the wires, including the positions where the wires cross this plane. The wires carry some unknown electric currents I₁ and 12, which you need to find from a single measurement of the magnetic field B=Bx i + By j at point A, whose position in the plane is also indicated. We will treat the currents algebraically: the current I is positive when it runs in the direction of the z-axis and negative when it runs in the opposite direction. In the right-hand system of coordinates, the z-axis is directed out of the screen towards us. The geometric parameters are known: a=1.02 cm, b=1.15 cm. b A 12 a a x Given the measurement of the magnetic field: Bx=-0.48 G and By=0.64 G, what is the unknown current I₁?: 1₁ = A. What is the unknown current I₂?: 12= A.
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