Question

In the circuit of resistors shown in the figure, the effective resistance between points A and B is

• A. \( 10\,\Omega \)
• B. \( \frac{20}{3}\,\Omega \)
• C. \( 65\,\Omega \)
• D. \( 15\,\Omega \)

Hint:

When analyzing complex resistor networks with triangular formations, consider using delta-to-star (Δ–Y) transformations to simplify the circuit.

Answer 1

The Correct Option is D

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: \( R_{\text{AB}} = 15\,\Omega \)