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Q.

A constant voltage $V = 25 V$ is maintained between points $A$ and $B$ of the circuit. Find the magnitude and direction of the current flowing through the segment $C D$ if the resistances are equal to (in Ampere) $R_{1} = 1.0 Ω, R_{2} = 2.0 Ω, R_{3} = 3.0 Ω a n d R_{4} = 4.0 Ω .$

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Detailed Solution

Question Image

The current distribution is shown in figure.

$i_{2} R_{3} + (i_{2} + i_{3}) R_{4} = V \dots \dots (i)$

$- i_{1} R_{1} - (i_{1} - i_{3}) R_{2} = V \dots \dots (i i)$

and closed loop 1-2-5-6-1,

$i_{1} R_{1} - i_{2} R_{3} = 0 \dots \dots (i i i)$

After substituting the values and simplifying, we get $i_{3} = 1 A$

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