Question

If each of the resistances in the circuit is 10 \(\Omega\), the resistance between terminals A and B is:

• A. 10 \(\Omega\)
• B. 20 \(\Omega\)
• C. 30 \(\Omega\)
• D. 50 \(\Omega\)

Hint:

For complex resistor networks, use delta-to-star (or star-to-delta) conversion to simplify the calculation of equivalent resistance.

Answer 1

The Correct Option is A

Step 1: Network identification.
The circuit mixes delta and star configurations; all resistors are 10 Ω.

Step 2: Delta-to-star conversion.
R_Y = R_Δ/3 = 10/3 Ω per star branch.

Step 3: Successive simplification.
After converting and combining series/parallel elements between A and B, the equivalent resistance evaluates to 10 Ω.

Step 4: Conclusion.
The resistance across terminals A and B is 10 Ω.