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How to calculate the resistance of a complex square resistor?

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Joey
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Joined: 22/11/2018 - 14:21
How to calculate the resistance of a complex square resistor?

Electronic Question:

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

I want to pose a image to explain the situation, but I don't find the place which can let me do it.

 

Richard
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Joined: 11/02/2019 - 13:15
youneed to assume voltage at

youneed to assume voltage at one of the vertex be V and at the opposite vertex be 0. now, the square resistor circuit will be simplified into series-parallel network. By eliminating no current branches, it will reduce to series-parallel combination of only six resistors (instead of 8). now the required resistance can be be easily calculated.