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AP Physics 2
11.7 Kirchhoff’s Junction Rule
11.6 Kirchhoff’s Loop Rule
11.5 Compound Direct Current (DC) Circuits
AdvancedMCQMathematicalConceptual19.5k
A three-dimensional schematic representation of a cube whose 12 edges each contain a resistor labeled R. Vertex A is located at the front-bottom-left corner of the cube, and vertex B is located at the back-top-right corner along the body diagonal. Wires extend outward from vertex A and vertex B to connect to an ideal battery of voltage V_0 outside the cube. Arrows show entry current I at vertex A and exit current I at vertex B. No other labels, lines, text, or axes appear.
A wire frame cube network of 12 identical resistors connected across body diagonal vertices A and B.
Twelve identical resistors, each with resistance \(R\), are connected together to form the edges of a three-dimensional cube. A potential difference \(V_0\) is applied across two diametrically opposite vertices, \(A\) and \(B\), along the body diagonal of the cube. Which of the following expressions represents the equivalent resistance \(R_{\text{eq}}\) of the cube network between vertices \(A\) and \(B\)?

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