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Q#1 Network Basics GATE EE 2002 NAT +2 marks -0 marks

In the resistor network shown in Figure, all resistor values are 1Ω. A current of 1A passes from terminal a to terminal b, as shown in the figure. Calculate the voltage between terminals a and b. [Hint: You may exploit the symmetry of the circuit].

\\169.254.160.58\Kreatryx\temp\1111.jpg

Explanation:

Since all resistor are equal, so both Wheatstone bridges are balanced and both the diagonal resistors are neglected as shown below,

Applying delta to star conversion in upper triangle

Untitled-10.png

The circuit can then further be simplified as shown below,

Untitled-13.png

So,

This method is wrong as whitestone bridge Is not balance because we must used equivalent resistance while checking balancing.

Correct method

\\169.254.160.58\Kreatryx\temp\1111.jpg

Given circuit can be redrawn as

\\169.254.160.58\Kreatryx\temp\1111.jpg

Covert Delta (a12) to star & delta (b34) to star

\\169.254.160.58\Kreatryx\DATA\Koncept\ME Question Bank\7. RAC\P.K Nag\Q 16 (c).png

Again convert Delta to star

\\169.254.160.58\Kreatryx\DATA\Koncept\ME Question Bank\7. RAC\P.K Nag\Q 16 (d).png

\\169.254.160.58\Kreatryx\DATA\Koncept\ME Question Bank\7. RAC\P.K Nag\Q 16 (e).png

\\169.254.160.58\Kreatryx\DATA\Koncept\ME Question Bank\7. RAC\P.K Nag\Q 16 (f).png

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