three register 4 ohm each are connected in the form of equilateral triangle find the distance between the corners
The resistances are connected in the form of an equilateral triangle. So, it is understood that the two resistors are in series and the third resistors with both its end connected to the other two resistors is in parallel to the two.
So for series combination of resistors,
Rs = 4 + 4 = 8 Ω
So this series combination is in parallel with the third resistor.
Thus, the effective resistance in the two corners of the triangle can be calculated using
Thus, the effective resistance between the two corners is 2.66 Ω