Question

find the equivalent resistance of the resistances ...​

Answer 1

The value of equivalent resistance for the given circuit will be 6 ohms between XY.

step by step explanation:

we are given a bridge circuit where the value of resistances are equal and the value being 6 ohms.

if we see the bridge is in a balanced condition that is $\frac{R1}{R2} = \frac{R3}{R4}$

hence there will be no voltage across the center of the bridge hence the resistance is placed in the center can be neglected.

Between xy:

if the equivalent resistance is calculated between point X and Y then there are are two sets of resistances that are in series with each other and these two resistances are in parallel

$\frac{1}{(6+6)} +\frac{1}{(6+6)} = \frac{1}{Req}$

$= Req = \frac{12}{2}= 6 ohms$

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