Three resistances, each of 4 Ω, are connected to form a triangle. The resistance between any two terminals is
Correct answer: C. 8/3Ω
- A. 2 Ω
- B. 6 Ω
- C. 8/3Ω
- D. 12 Ω
Explanation
When three equal resistances are connected to form a triangle, the equivalent resistance between any two terminals is twice the resistance of each resistor. Therefore, Req =2*R=2×4Ω=8Ω. However, this resistance is shared by 3 paths. The effective resistance between any two terminals is 1/3 of this, which is 8/3 Ω.Incorrect options: (a) This doesn't accurately reflect the calculation for the equivalent resistance.(b) This would be the case if the resistances were connected in series, not in the triangle configuration.(d) This is not the correct calculation for the resistance in the triangle configuration.
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