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Question
Find the effective resistance in the following circuit diagrams (Fig.):
Solution
In the given network, the parallel combination of two 2 Ω resistors is
connected in series with the parallel combination of two 3 Ω resistors.
:. Resistance in parallel of two 2Ω resistors is:
`1/"R"_"P" = 1/2 + 1/2 = 2/2 = 1`
Rp = 1Ω
Resistance in parallel of two 3Ω resistors is:
`1/"R"_"P" = 1/3 + 1/3 = 2/3`
`"R"_"P"' = 3/2 Ω`
Total resistance of the network
`"R"_"total" = 1 + 3/2 = 5/2 Ω`
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