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AP Physics C: E&M
11.7 Kirchhoff’s Junction Rule
11.1 Electric Current
AdvancedMCQMathematicalConceptual17.1k
A schematic diagram showing a single central junction node labeled N. Branch 1 extends horizontally to the left from node N, carrying a current labeled I_1 with an arrow pointing toward node N. Branch 2 extends vertically upward from node N, carrying a current labeled I_2 with an arrow pointing away from node N. Branch 3 extends horizontally to the right from node N, carrying a current labeled I_3 with an arrow pointing away from node N. A small dashed downward path leads from node N to a circle labeled +q(t) to represent charge accumulation at the node. No other components, power sources, loops, or labels appear.
Junction node N with three branch currents and charge accumulation.
At a junction node \(N\) in a circuit, current \(I_1\) flows into the node through branch 1, and current \(I_2\) flows out of the node through branch 2. Due to a small stray capacitive path, charge accumulates on node \(N\) at a rate given by \(\\dfrac{dq}{dt} > 0\). A third branch carries current \(I_3\) out of node \(N\). Which of the following correctly pairs the expression for current \(I_3\) with the explanation of charge conservation at node \(N\)?

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