Engineering Solve Circuit for R(ab): Equivalent Resistance 20 Ohms?

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The discussion revolves around finding the equivalent resistance R(ab) in a circuit, with initial confusion regarding whether it constitutes an open circuit, which would imply infinite resistance. Participants clarify that despite the apparent separation between points A and B, there are pathways for current to flow, leading to a finite resistance. The method of simplifying the circuit by combining resistors in series and parallel is emphasized, ultimately resulting in a single resistor connecting A and B. The resolution confirms that the equivalent resistance is indeed 20 ohms, countering the initial assumption of infinite resistance. Understanding the connections within the circuit is crucial for accurately determining resistance.
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The question asks to find the Equivalent resistance R(ab) for the circuit. Is this a trick question? Because I thought it is an open circuit and therefore the resistance between a and b would be infinite. The answer in the book is 20 ohms, please explain if possible
 
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Why do you think the resistance is infinite? There are lots of ways the current can flow from a to b.

You can solve this by picking off pairs of resistors that are in series and parallel, and replacing then with a single resistor. You will end up with just one resistor connecting a and b.
 
Because there is no wire connecting points A and B I thought this is an open circuit, which has infinite resistance?
 
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This is my final step in reducing the circuit, so now this makes sense that the resistance would be 20, I kept thinking that current would not flow flow from a down to b because they were separated but they are connected
 
Moderator's note: thread moved from Electrical Engineering.
 

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