Semi-infinite grid

Electricity and Magnetism Level 5

Suppose we build a semi-infinite grid with square cells as shown in the figure below. Each wire has a length \(l\) and a resistance of \(r=1~\Omega\). What is the equivalent resistance between the points A and B?

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Semi-infinite grid

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100 Day Summer Challenge

Semi-infinite grid

Excel in math and science

Master concepts by solving fun, challenging problems.

It's hard to learn from lectures and videos

Learn more effectively through short, conceptual quizzes.

Our wiki is made for math and science

Master advanced concepts through explanations, examples, and problems from the community.

Used and loved by 4 million people

Learn from a vibrant community of students and enthusiasts, including olympiad champions, researchers, and professionals.

Master advanced concepts through explanations,
examples, and problems from the community.

Learn from a vibrant community of students and enthusiasts,
including olympiad champions, researchers, and professionals.

Master advanced concepts through explanations,
examples, and problems from the community.

Learn from a vibrant community of students and enthusiasts,
including olympiad champions, researchers, and professionals.