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, whichyou 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 runsin 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.VabaGiven the measurement of the magnetic field: Bx=-0.52 G and By=-0.48 G,what is the unknown current I₁?:I₁=A.What is the unknown current I₂?:1₂=A.

We will first write an expression for magnetic field due to current in infinite wire. We then use…

Answered: Two parallel long (infinite for our…

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