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AP Physics C: E&M
11.7 Kirchhoff’s Junction Rule
11.6 Kirchhoff’s Loop Rule
11.5 Compound Direct Current Circuits
IntermediateMCQMathematicalConceptual18.2k
Circuit junction splitting into three parallel paths.
Circuit junction splitting into three parallel paths.
In a direct current circuit, a main line carrying a constant current \(I_0\) reaches a junction that splits into three parallel branches, which rejoin at a second junction.

  • Path 1 consists of a single resistor of resistance \(R\).
  • Path 2 consists of two resistors, each of resistance \(R\), connected in series.
  • Path 3 consists of two resistors, each of resistance \(R\), connected in parallel with each other.

Which of the following correctly ranks the currents \(I_1\), \(I_2\), and \(I_3\) through the three paths and provides a valid justification?

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