Resistor Problems: Tips, Tricks & Tough Questions

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Discussion Overview

The discussion revolves around challenging problems related to resistors and capacitors, particularly in complex 3D configurations. Participants seek resources and share problem statements that involve calculating equivalent resistance and capacitance in various geometric arrangements, including cubes and higher-dimensional networks.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested
  • Homework-related

Main Points Raised

  • One participant requests links to resources containing tough and conceptual problems related to resistors and capacitors, emphasizing the need for tips and tricks for efficient solving.
  • Another participant echoes the request for challenging problems.
  • A participant proposes calculating the equivalent resistance of a 3D cubical network with resistance R on each side and similarly for capacitance with capacitance C, suggesting further complexity with icosahedral and dodecahedral configurations.
  • A subsequent post reiterates the previous problem statement, implying that it is straightforward if one knows the appropriate techniques.
  • Another participant challenges others to generalize the problem to N-dimensional networks or to consider configurations like a soccer ball, introducing the idea of varying resistance based on directionality in a 3D lattice network.
  • One participant claims to have a "fairly well" understanding of calculating resistances based on the complexity of the proposed problems.

Areas of Agreement / Disagreement

Participants express a shared interest in complex resistor and capacitor problems, but there is no consensus on the difficulty of the problems presented, with some viewing them as easy and others suggesting greater complexity.

Contextual Notes

The discussion includes various assumptions about the familiarity with techniques for solving the proposed problems and the definitions of configurations, which may not be universally understood.

Who May Find This Useful

This discussion may be useful for students and enthusiasts in electrical engineering or physics who are looking for challenging problems and conceptual understanding of resistors and capacitors in complex networks.

pardesi
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can someone please post an e-link to a site having tough and conceptual resistor and capacitor problems with all the tips and trick(to solve fatsly :rolleyes:).

please
 
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Yeah, I need that too.

Mr V
 
find the equivalent resistance of a 3D cubical network, with each side of a cube having resistance R.

do the same for capacitance, assuming each side of the cube have capacitance C.

if that is too easy for you, try the same with icosahedral and dodecahedral.

* the input and output are end points of a "diagonal" in the 3D structure.
 
Last edited:
tim_lou said:
find the equivalent resistance of a 3D cubical network, with each side of a cube having resistance R.

do the same for capacitance, assuming each side of the cube have capacitance C.

if that is too easy for you, try the same with icosahedral and dodecahedral.

* the input and output are end points of a "diagonal" in the 3D structure.

too easy if you know the trick
 
too easy? how about generalizing it to N-dimensional cubical network? or try a soccer ball configuration.


even better, try to solve for the resistance of a 3D lattice network in a box with a given integral length, width and height, assuming different resistance for different "directions" the resistors point at.

for instance, resistors alone the x-axis has resistance R_x, and then R_y, R_z, respectively.:devil:

if you can do all these, i would say you have a fairly well understanding of calculating resistances.:shy:
 
Last edited:
then i guess i have a "fairly well" understanding of calculating resistances
 

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