Calculating Total Resistance of a Cube with Six Ohm Edges | Helpful Tips

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SUMMARY

The total resistance of a cube with six-ohm edges is definitively calculated to be 30 ohms when measured between opposite corners. This is derived from the formula 5*R, where R represents the resistance of one edge. To visualize the resistance network, one should number the corners from 1 to 8 and apply Kirchhoff's law to track current distribution at each node. Additionally, calculating the voltage drop across each edge using the formula v = i*r allows for the determination of equivalent resistance.

PREREQUISITES
  • Understanding of Kirchhoff's laws
  • Basic knowledge of electrical resistance and Ohm's law
  • Ability to construct and analyze electrical circuit diagrams
  • Familiarity with equivalent resistance concepts
NEXT STEPS
  • Study Kirchhoff's circuit laws in detail
  • Learn about calculating equivalent resistance in complex networks
  • Explore techniques for drawing and analyzing circuit diagrams
  • Investigate the application of Ohm's law in various electrical circuits
USEFUL FOR

This discussion is beneficial for electrical engineering students, circuit designers, and anyone interested in understanding the principles of resistance in three-dimensional networks.

alnywk
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what is the total resistance of the cube if each edge hv six ohm ?
help me please
i don't know how to draw a simple diagram
 
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Number the corners from 1 to 8. As you construct the resistance network on paper between the nodes (corners) keep track of your progress by scribbling each edge on the cube out as you make the connections on paper.
 
total resistance of a cube each edge having six ohm resistance is 30 ohm(In case of equivalent resistance calculated between opposite corners).
It means 5*R .where R is the resistance of one edge of cube.

To draw the diagram for the above problem , start from one corner with i current and dividing it according to kirchhoffs law on each node. by this way go to the last node (desired corner).

Now calculate voltage drop on each edge( v = i*r). Sum up all voltage drops and divide by initial current i. By this way you can calculate equivalent resistance between desired corners of the cube.

If you still have any problem mail me.
 

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