ABCD is a square where each side is uniform wire of resistance 1 Ohm Find a point E on - Physics - Current Electricity

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

Somnath physics · Accepted Answer

Let potential across A and C be V

Let length of the side of the square = a

Let BE has a resistance x

Let origin be at D.

AB and BE resistance are in series while AE are in parallel to them thus equivalent resistance between point A and E will be:

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.