Question

Twelve wires of each resistance 6 ohms are connected to form a cube as shown in the figure. The current enters at a corner A and leaves at the diagonally opposite corner G. The joint resistance across the corners A and G are

• A. 12 ohms
• B. 6 ohms
• C. 3 ohms
• D. 5 ohms

Hint:

In a cube configuration, the equivalent resistance between diagonally opposite corners is \( 5 \, \Omega \).

Answer 1

The Correct Option is D

Step 1: Resistance in a cube.
The total resistance between diagonally opposite corners of a cube formed by 12 resistors is \( \frac{5}{12} \) times the resistance of a single resistor. Hence, the equivalent resistance is 5 ohms.

Step 2: Conclusion.
Thus, the correct answer is option (D).

Final Answer: \[ \boxed{5 \, \text{ohms}} \]