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The equivalent resistance between A and B is A network is shown with left and right vertical rails connected to terminals A and B. The top branch has 1.5 Ω on the left slant and 0.5 Ω on the right slant meeting at the top apex. Between the upper left and upper right nodes is 12 Ω. Two diagonal branches cross in the middle: one branch has 8 Ω from upper left to center and 6 Ω from center to lower right; the other has 2 Ω from lower left to center and 4 Ω from center to upper right. Between the lower left and lower right nodes is 6 Ω. The bottom branch has 1 Ω on the left slant and 1 Ω on the right slant meeting at the bottom apex.
- 2/3 Ω
- 1/2 Ω
- 3/2 Ω
- 1/3 Ω
Correct answer: 2/3 Ω
Solution
The equivalent resistance of the network is calculated by analyzing the series and parallel combinations of resistors. In this case, the arrangement of resistors leads to a total resistance of 2/3 Ω between terminals A and B, as the resistors effectively reduce the overall resistance through their configuration.
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