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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 I2, 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=0.8 cm, b=0.52 cm. a a 1₂ Given the measurement of the magnetic field: Bx=0.68 G and By=0.84 G, what is the unknown current I₁?: I₁= A. What is the unknown current I₂?: I2=

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=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=0.8 cm, b=0.52 cm. a a 1₂ Given the measurement of the magnetic field: Bx=0.68 G and By=0.84 G, what is the unknown current I₁?: I₁= A. What is the unknown current I₂?: I2=

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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 I2, which you need to find from a single measurement of the magnetic field B=Bxi + 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=0.8 cm, b=0.52 cm. t 1₂ b I₁ a X Given the measurement of the magnetic field: Bx=0.68 G and By=0.84 G, what is the unknown current I₁?: I₁= A. What is the unknown current I₂?: A. I2 =
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=Bxi + 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=0.8 cm, b=0.52 cm. t 1₂ b I₁ a X Given the measurement of the magnetic field: Bx=0.68 G and By=0.84 G, what is the unknown current I₁?: I₁= A. What is the unknown current I₂?: A. I2 =
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