Equivalent resistance for an infinite grid

AI Thread Summary
The equivalent resistance between two adjacent points on an infinite square grid of resistance r is calculated to be r/2. This result can be derived using symmetry and the properties of the infinite grid. The infinite nature of the grid allows for simplifications in the calculations, leading to this specific value. Understanding the behavior of resistances in such grids is crucial for solving complex circuit problems. Overall, the equivalent resistance for this configuration is confirmed as r/2.
swapnilster
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There is an infinite square grid with each side of every cell making up the grid of resistance r.
What is the equivalent resistance between two adjacent points on the grid?
 
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swapnilster said:
There is an infinite square grid with each side of every cell making up the grid of resistance r.
What is the equivalent resistance between two adjacent points on the grid?

r/2

(Hint: There's an easy way to see this.)
 
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