Infinite batteries
Determine the electromotive force of the system of infinite batteries if and both are 1 and circuit as shown.
Not much simplification. just simple and "twisted". If you are looking for more such simple but twisted questions, Twisted problems for JEE aspirants is for you!
The answer is 2.
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1 solution
Let the electromotive force of the infinite network be V . We note the one stage down the network is still infinite and the electromotive force is again V . Therefore, there is no potential difference across resistors R and hence no current flowing through resistors R . Similarly, there is no current flowing through resistors r . Since there is no current flow there is no drop in potential therefore, V = 2 V.