Experiment 14 - The resistor Cube

Where and how are the Kirchhoff's laws actually used? Are there any problems that can only be solved with the laws? Consider the resistor cube.

The resistor cube consists of twelve equal resistors R. The resistors are soldered in a cube, so that each side of the cube has the resistance R (in this experiment R = 1 kΩ).

How large is the resistance between the nodes of a space diagonal (for example A and B)?

Resistor cube. (Enlarge)

The resistor cube can also be realized on your breadboard...

Circuit resistor cube. (Enlarge)

Circuit diagram resistor cube.

With a multimeter you measure the resistance R_total between A and B...

R_total = ⁵/₆ R = 833 Ω

However, can you also calculate the resistance R_total? For this you use Kirchhoff's laws, Ohm's law and the symmetry of the cube...