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AP Physics 2
12.3 Magnetism and Current-Carrying Wires
12.1 Magnetic Fields
IntermediateMCQMathematicalConceptual24.7k
Cross-sectional diagram showing three circular wire cross-sections at the vertices of an equilateral triangle with side length labeled a. Wire 1 is at the top vertex containing a central dot labeled with current out of page. Wire 2 is at the bottom-left vertex containing an X labeled with current into page. Wire 3 is at the bottom-right vertex containing an X labeled with current into page. The central point P is marked at the centroid of the triangle with dashed line segments connecting each vertex to point P. No other labels, lines, text, or axes appear.
Cross section of three parallel current-carrying wires.
Three long, straight, parallel wires each carry a current of magnitude \(I\). The wires pass through the vertices of an equilateral triangle with side length \(a\), as shown in the cross-sectional view. Wire 1 carries current directed out of the page, while Wire 2 and Wire 3 carry currents directed into the page. What is the magnitude of the net magnetic field at the centroid (center) of the triangle in terms of \(I\), \(a\), and physical constants?

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