Question

ABCD is a square where each side is uniform wire of resistance 1 Ohm. Find a point E on CD such that if a uniform wire of resistance 1 Ohm is connected across AE and a potential diffrence is applied across A and C, the points B and E will be equipotential.

Answer 1

Please find the answer below:

Keeping in view that; ABCD is a square where each side is uniform wire of resistance 1 Ohm.

If a uniform wire of resistance 1 Ohm is connected across AE and a potential difference is applied across A and C, the points B and E will be equipotential; a point E on CD is CE/ED=√2

Answer 2

"Ans: D. $\frac {CE} {ED} = \sqrt 2$

ABCD is a square in which the four resistances are connected in series at 1 ohm each. As the given circuit is equipotential, the resistance is constant throughout the circuit. The point E on CD should be 0.414 from C. Thus, the ratio of CE/CD should be 1.414 or square root of 2.

The resistance is an opposition force which is exhibited by the object on the electric current flowing through it. This property depends on the nature of the material. The unit of "electric resistance is ohm"."