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Five equal resistors each of R Omega are...

Five equal resistors each of `R Omega` are connected in a network. Calculate the equivalent resistance between the points A and B.

Text Solution

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The equivalent circuit will be as shown in figure, which is a balanced Wheatstoen bridge. Therefore the resistance of arm CD is ineffective. Hence we have the resistance of arm ACB = R +R = 2R, in parallel with the resistance of arm ADB = R +R = 2R.
Effeective resistance between A and B is
` =(2 R xx 2R)/(2R+ 2R) = R Omega`
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