Table of Contents
What is the resistance of a cube?
The sum of the voltage drops is V = IR/3 + IR/6 + IR/3 = 5IR/6. So the resistance of the cube is R = V/I = (5/6)R.
How do you calculate the resistance of a cube?
The traditional method used involves recognizing sets of equipotential points within the vertices of the cube, then shorting them together to enable calculation of parallel resistances. Finally, those resistances are added in series to arrive at the resulting equivalent resistance.
How do you find the resistance ratio?
The electrical resistance of a circuit component or device is defined as the ratio of the voltage applied to the electric current which flows through it: If the resistance is constant over a considerable range of voltage, then Ohm’s law, I = V/R, can be used to predict the behavior of the material.
How many resistances are there with three equal resistors?
We have given 3 equal resistors, there are 4 possible combination that can be made. The attached figure shows the possible combination.
How many resistors are in a cube?
Resistor cube is made of 12 resistors connected to form a cube. Finding equivalent resistance between two nodes of the cube, is one of the most complicated problems in physics.
What is the resistance of each edge of a cube?
In this circuit the vertices A and F (D and G) are equivalent, their potential is the same. The resistance of the whole cube is not changed by merging these vertices into one. Let us merge the vertices A and F (D and G) into one junction, redraw the circuit into plane and supplement each cube edge with a resistor. The resistance of each edge is R.
What is equivalent resistance between two vertices on the face diode?
Equivalent resistance between two vertices on the face di… Resistor cube is made of 12 resistors connected to form a cube. Finding equivalent resistance between two nodes of the cube, is one of the most complicated problems in physics.
Which vertices of a cube have the same potential?
In this circuit the edges BA, BC and BF are equivalent, the current through them is the same. Therefore, the vertices A, C and F have the same potential. The resistance of the whole cube is not changed by merging these vertices into one. The same situation holds for vertices D, E and G.