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AP Physics 2
11.7 Kirchhoff’s Junction Rule
11.1 Electric Current
AdvancedMCQMathematicalConceptual18.5k
A single junction node labeled N sits at the center. Wire 1 approaches node N horizontally from the left with a cross-sectional area labeled 2A_0, with an arrow pointing right labeled I_1 toward node N. Wire 2 exits node N upward and to the right with a cross-sectional area labeled A_0, with an arrow pointing along it labeled I_2 away from node N. Wire 3 exits node N downward and to the right with a cross-sectional area labeled A_0, with an arrow pointing along it labeled I_3 away from node N. No other labels, lines, text, or axes appear.
Junction of three conducting wires with specified cross-sectional areas.
Three conducting wires meet at a junction in a steady-state DC circuit. Wire 1 carries current \(I_1\) into the junction and has a cross-sectional area of \(2A_0\). Wires 2 and 3 carry currents \(I_2\) and \(I_3\) away from the junction, and each has a cross-sectional area of \(A_0\). All three wires are made of the same uniform material with charge carrier density \(n\). Which of the following correctly relates the drift speeds \(v_1\), \(v_2\), and \(v_3\) of the charge carriers in the three wires, and provides the correct physical justification?

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