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