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In the network shown in the Fig, each resistance is 1 W . The effective resistance between A and B is (a) 4/3ohm (b) 3/2ohm (c) 7 ohm (d) 8/7 ohm



In the network shown in the Fig, each resistance is 1W. The effective resistance between A and B is



        (a)    4/3ohm


        (b)    3/2ohm


        (c)    7 ohm


        (d)    8/7 ohm 


Grade:upto college level

2 Answers

Aditi Chauhan
askIITians Faculty 396 Points
8 years ago

(d)

At A current is distributed and at B currents are collected. Between A and B, the distribution is symmetrical. It has been shown in the figure. It appears that current in AO and OB remains same. At O, current i4 returns back without any change. If we detach O from AB there will not be any change in distribution.

Now, CO & OD will be in series hence its total resistance = 2W

It is in parallel with CD, so, equivalent resistance

Krishang Parakh
9 Points
3 years ago
As the figure is symmetric we can disconnect point of from AB and hence we get a simplified diagram where CO and OD are in series with each other and their combination is in parallel with CD and lastly AB is in parallel with ACDB
 

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