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  4. Seven resistance are connected between points A and B as shown in adjoining figure. The equivalent resistance between A and B is

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Q. Seven resistance are connected between points $A$ and $B$ as shown in adjoining figure. The equivalent resistance between $A$ and $B$ isPhysics Question Image

VITEEEVITEEE 2013Current Electricity

Solution:

The equivalent circuit of the given circuit is
image
This is a balanced Wheatstone bridge. Therefore, the arm CD becomes in effective. Hence 5$\Omega$ and 3$\Omega$ are in series and they together are in parallel with (5 + 3) $\Omega$
$\therefore $ Net resistance $=\frac{\left(5+3\right)+\left(5+3\right)}{\left(5+3\right)\times\left(5+3\right)}=4\Omega$