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How to calculate the resistance of a complex square resistor?

Divide a square resistor into nine parts on average and dig out the middle one. What's the resistance of the remained parts now? The following is sample image.

Is there anyone can give me some idea?


January 31, 2019 18:05

Hi guys, I'm the Community Manager for DesignSpark. Thanks for your discussions on this topic. We've asked our Applications Engineer to look at this as a future article topic, so watch this space :o)

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February 1, 2019 08:38

@leonie My pleasure, I just interested in it because of my major.

January 31, 2019 09:15

Someone advise me to make clear the characteristics of resistors, and he advise me to look for more info about it, I read some articles about it, and one of them is good, but it has less example to explain the theories about resistor.
Is there anyone can give me more info about resistors, especially having more examples to make a clear knowledge vein. Hoping the articles are similar to the following one: https: //, specific-theory and examples.

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January 30, 2019 09:54

The current distribution in a complex conductor is not a simple series-parallel relationship, so it is difficult to calculate the current distribution. I guess there may be a premise that this solution is the uniform isotropic bulk material, in this case, it is possible to calculate the resistance under DC. But there still has many factors to affect the result.

January 30, 2019 09:58

look up resistivity of materials as a first point.
You will find R is proportional to 1/A A=cross sectional area.

But exploring 'resistivity of materials' will get you started.

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