Resistor Cube (Redrawn For More Discernible Symmetry)

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Resistor Cube (Redrawn For More Discernible Symmetry)

Circuit Description

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This is the classic Resistor Cube redrawn where its cubic shape is abandoned in favor of a more observable symmetry which is the key in analyzing the circuit. The resistor designations are: Rtft = cube top face top edge resistor Rtfr = cube top face right edge resistor Rtfb = cube top face bottom edge resistor Rtfl = cube top face left edge resistor Rvtl = cube top left vertical edge resistor Rvtr = cube top right vertical edge resistor Rvbr = cube bottom right vertical edge resistor Rvbl = cube bottom left vertical edge resistor Rbft = cube bottom face top edge resistor Rbfr = cube bottom face right edge resistor Rbfb = cube bottom face bottom edge resistor Rbfl = cube bottom face left edge resistor Refer to the circuit 'Resistor Cube (Flattened)' for comparison. Relative to 'Resistor Cube (Flattened)': · Nodes (0 to 7) carry the same resistors to facilitate the comparison/checking. · Rvbl was dragged outward and Rtfb was dragged inward, Rvtr was dragged outward and Rtfr was dragged inward. The rearrangement was done for a neater diagram. The current probes show how current divides in branches relevant to a chosen path where KVL will be applied. Voltage probes are placed at the relevant nodes. KVL can be done through Rtfl, Rtfb and Rvbr or Rtft, Rtfr and Rvbr. The resistance of the cube is numerically equal to the reading at voltage probe PR12 and is equal to (5/6) Ω or 0.83333333333333333333333333333333 Ω.

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Creator

GGoodwin

1116 Circuits

Date Created

7 years, 5 months ago

Last Modified

4 years ago

Tags

  • resistive network
  • resistor network
  • resistor cube
  • resistance cube
  • kirchhoffs current law
  • kcl
  • kvl
  • kirchhoff
  • kirchhoffs voltage law
  • kirchhoffs laws