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 I₂, which you need to find from a single measurement of the magnetic field B=B₂ i + B, 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=0.52 cm, b=0.34 cm. 1₁ a a 1₂ Given the measurement of the magnetic field: 8,=-0.52 G and By=-0.48 G, what is the unknown current ₁7: What is the unknown current 1₂7: A 1₂=
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 I₂, which you need to find from a single measurement of the magnetic field B=B₂ i + B, 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=0.52 cm, b=0.34 cm. 1₁ a a 1₂ Given the measurement of the magnetic field: 8,=-0.52 G and By=-0.48 G, what is the unknown current ₁7: What is the unknown current 1₂7: A 1₂=
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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 I₂, which
you need to find from a single measurement of the magnetic field B=B₂ 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=0.52 cm, b=0.34 cm.
1₁
a
a
1₂
Given the measurement of the magnetic field: By=-0.52 G and By=-0.48 G,
what is the unknown current I₁?:
4₁=
What is the unknown current I₂?:
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