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AP Physics 2
12.3 Magnetism and Current-Carrying Wires
AdvancedMCQMathematicalConceptual24.3k
A Cartesian \(xy\)-coordinate system with a horizontal \(x\)-axis pointing right and a vertical \(y\)-axis pointing up, intersecting at origin \((0,0)\). Wire 1 is represented by a circle centered at origin \((0,0)\) containing a central dot \(\odot\), labeled \(I\) pointing out of the page. Wire 2 is represented by a circle centered at \((d,0)\) on the positive \(x\)-axis containing a central cross \(\otimes\), labeled \(kI\) pointing into the page. A horizontal dimension line between \(x = 0\) and \(x = d\) is labeled \(d\). The negative \(x\)-axis extends to the left of Wire 1, and the positive \(x\)-axis extends to the right of Wire 2. No other labels, lines, text, or axes appear.
Cross section of two parallel current-carrying wires in the xy-plane.
Two long, parallel straight wires aligned perpendicular to the \(xy\)-plane are separated by a distance \(d\). Wire 1 passes through the origin \((0,0)\) and carries a current \(I\) directed out of the page. Wire 2 passes through \((d,0)\) and carries a current \(kI\) directed into the page, where \(k > 1\). Which of the following algebraic expressions correctly represents the \(x\)-coordinate of the point on the \(x\)-axis where the net magnetic field produced by the two wires is zero?

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