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AP Physics 2
12.3 Magnetism and Current-Carrying Wires
AdvancedMCQMathematicalConceptual18k
Cross-sectional end-view of repelling suspended wires.
Cross-sectional end-view of repelling suspended wires.
Three independent experimental setups (X, Y, and Z) each consist of two long, parallel horizontal wires of length \(L\) suspended vertically from a ceiling by light insulating strings of length \(d\). In each setup, the wires carry steady currents in opposite directions, causing them to magnetically repel and hang in static equilibrium at small deflection angles relative to the vertical. The properties of the wires in each setup are given in the table below: | Setup | Wire | Current | Mass | Deflection Angle | |-------|------|---------|------|------------------| | X | Wire 1 | \(I_0\) | \(m_0\) | \(\theta_1\) | | X | Wire 2 | \(I_0\) | \(m_0\) | \(\theta_2\) | | Y | Wire 3 | \(2I_0\) | \(m_0\) | \(\theta_3\) | | Y | Wire 4 | \(I_0\) | \(m_0\) | \(\theta_4\) | | Z | Wire 5 | \(2I_0\) | \(2m_0\) | \(\theta_5\) | | Z | Wire 6 | \(2I_0\) | \(2m_0\) | \(\theta_6\) | Which of the following correctly ranks the equilibrium deflection angles \(\theta_1\), \(\theta_3\), \(\theta_4\), and \(\theta_5\)?

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