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- 7

- Homework Statement
- What is the total resistance in this circuit, considering that each resistor has a resistance of $1$ Ohm

The correct answer is $2/3$ but I don't know how to obtain it

I thought one could combine the upper two resistors(in series) and combine them with the lower three such that they are in parallel. Then, $R=(1/2+1/3)^{-1}$

I just thought about something, If we split the resistor (by symmetry) we have, following the correct answer, three resistors on each side, which are parallel to each other. Thus $(1+1+1)^{-1} + (1+1+1)^{-1}$. There is just one problem with this, and it is the fact that the bottom resistor would by intuition be split in 1/2. Or is that not so?

- Relevant Equations
- R