IIT JEE Entrance Exam> -effective-resistance...

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

Amit Saxena , 12 Years ago

Grade upto college level

2 Answers

Aditi Chauhan

(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

Last Activity: 12 Years ago

Krishang Parakh

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

Last Activity: 7 Years ago