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  4. Consider the ladder network shown in figure. What should be the value of resistance R, so that effective resistance between A B becomes independent of number of elements in the combination?

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Q. Consider the ladder network shown in figure. What should be the value of resistance $R$, so that effective resistance between $A \,\&\, B$ becomes independent of number of elements in the combination?Physics Question Image

Current Electricity

Solution:

For $R = 4r$, the sequence repeats itself.