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Find the equivalent resistance between points a and b for the combination shown in adjoining figure.

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The 3Ω and 2Ω resistors are in series and are equivalent to a 5Ω resistor. This equivalent is in parallel with the 6Ω and their equivlent is given by

The 7Ω and 2.73Ω resistors are in series and the their equivalent is 9.73Ω .

Now 5Ω,12Ω and 9.73Ω resistance are in parallel. 

Let their equivalent be R”. The

Finally 2.6Ω resistor is in series with the 9Ω resistor. Hence the equivalent resistance of the combination is given by 9.0 + 2.6 = 11.6Ω

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