Calculate the effective resistance between the points A and B in the circuit shown in figure
Calculate the effective resistance between the points A and B in the circuit shown in figure

In the diagram above,

Between XAY = (1 + 1 + 1), there is a resistance.

= 3 ohm

Between XY = 2 ohm, there is a resistance of 2 ohm.

Between XBY = 6 ohm, there is a resistance of 6 ohm.

Allow R’ to represent the net resistance between X and Y.

Then, 1 / R’ = 1 / 2 + 1 / 3 + 1 / 6

1 / R’ = (3 + 2 + 1) / 6

1 / R’ = 6 / 6

1 / R’ = 1 ohm or

R’ = 1 ohm

As a result, we may state that between locations A and B, three 1 ohm resistors are linked in series.

Let RAB stand for the net resistance between points A and B.

Then, RAB = (1 + 1 + 1) ohm
RAB = 3 ohm