Two very long, straight, parallel wires carry currents that are directed perpendicular to the page, as shown in figure. Wire 1carries a current l₁ into the page (in the z-direction) and passes through the x-axis at x= +a. Wire 2 passes through the x-axis at x = -2a and carries an unknown current l2. The total magnetic field at the origin due to these conducting wires hasa magnitude of 2Ho1₁/1276a). The current l₂ can have two possible values. a) Determine the value of 12 using the smaller magnitude, expressing it as afunction of l₁ and giving its direction. b) Determine the other possible value for 12.1₂-2a0I₁X2a-X

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Two very long, straight, parallel wires carry currents that are directed perpendicular to the page, as shown in figure. Wire 1 carries a current l₁ into the page (in the z-direction) and passes through the x-axis at x= +a. Wire 2 passes through the x- axis at x = -2a and carries an unknown current l₂. The total magnetic field at the origin due to these conducting wires has a magnitude of 2 Ho 1₁/12 7 a). The current l₂ can have two possible values. a) Determine the value of 12 using the smaller magnitude, expressing it as a function of l₁ and giving its direction. b) Determine the other possible value for 12. IŠTIŠIN 0 12 -2a X 2a -X

Two very long, straight, parallel wires carry currents that are directed perpendicular to the page, as shown in figure. Wire 1 carries a current l₁ into the page (in the z-direction) and passes through the x-axis at x= +a. Wire 2 passes through the x- axis at x = -2a and carries an unknown current l₂. The total magnetic field at the origin due to these conducting wires has a magnitude of 2 Ho 1₁/12 7 a). The current l₂ can have two possible values. a) Determine the value of 12 using the smaller magnitude, expressing it as a function of l₁ and giving its direction. b) Determine the other possible value for 12. IŠTIŠIN 0 12 -2a X 2a -X