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AP Physics C: E&M
11.7 Kirchhoff’s Junction Rule
11.6 Kirchhoff’s Loop Rule
AdvancedMCQMathematicalConceptual12.9k
Circuit schematic with three parallel branches connected to node P.
Circuit schematic with three parallel branches connected to node P.
In the circuit shown, three parallel branches connect a central node P to a common lower conductor held at ground potential (\(V = 0\text{ V}\)).

  • The left branch contains an ideal battery of EMF \(\mathcal{E}_1\) in series with a resistor of resistance \(R_1\), with the positive terminal connected toward node P.
  • The middle branch contains an ideal battery of EMF \(\mathcal{E}_2\) in series with a resistor of resistance \(R_2\), with the negative terminal connected toward node P.
  • The right branch contains an ideal current source that delivers a constant current \(I_0\) into node P.

Which of the following is a correct expression for the electric potential \(V_P\) at node P in terms of the given quantities?

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