Question:
In the circuit of resistors shown in the figure, the effective resistance between points A and B is
In the circuit of resistors shown in the figure, the effective resistance between points A and B is
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When analyzing complex resistor networks with triangular formations, consider using delta-to-star (Δ–Y) transformations to simplify the circuit.
Updated On: Jun 3, 2025
- \( 10\,\Omega \)
- \( \frac{20}{3}\,\Omega \)
- \( 65\,\Omega \)
- \( 15\,\Omega \)
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The Correct Option is D
Solution and Explanation
The given circuit forms a triangle with resistors on all sides:
- Top side: 50\(Omega\) in series with 20\(Omega\) (left side)
- Right side: 10\(Omega\)
- Bottom: 10\(Omega\)
- Inside: Two 20\(Omega\) resistors forming a path between A and B
Step-by-step:
1. Convert the triangle (Delta) formed by three resistors (50\(Omega\), 10\(Omega\), and 10\(Omega\)) into a star (Y) network.
2. Combine the resistors using series-parallel simplifications.
3. Calculate equivalent resistance between A and B.
(Full reduction involves delta-to-star transformation and appropriate node simplification.)
Final result: \( R_{\text{AB}} = 15\,\Omega \)
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