Four identical resistors, each of resistance R , are connected along the four sides of a square loop ABCD . Two ideal conducting wires of zero resistance, insulated from each other, are connected along the diagonals AC and BD . The equivalent resistance between the adjacent corners A and B is:

Step-by-step solution

The ideal wire connecting A and C ensures that points A and C are at the same potential. Similarly, the ideal wire connecting B and D ensures that points B and D are at the same potential. Let us identify the terminals for each of the four resistors on the sides of the square: 1. The resistor on side AB is connected between A and B . 2. The resistor on side BC is connected between B and C (which is effectively A ). 3. The resistor on side CD is connected between C (effectively A ) and D (effectively B ). 4. The res