Question

Find the effective resistance in the following circuit diagrams (Fig.):

Answer 1

In the path ACB, the series combination of two 2Ω resistor is connected in parallel with the third 2Ω resistor.
:. resislancein series= 2 + 2 = 4 Ω
This 4 Ω resistor is now connected in parallel with the 2Ω resistor

total resistance between A and B `(1/"R"_"P") = 1/4 + 1/2 = 3/4 Ω`

`"R"_"P" = 4/3 Omega`

Now, between P and Q, two 2Ω  resistors and `4/3` Ω are connected in series.

total resistance of the given network, R, = `2 + 2 + 4/3 = (6 + 6 + 4)/3 = 16/3 = 5.3Ω`