The current in resistance R3 in the given circuit is 2xA. Find the value of x.

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The current in resistance $R_{3}$ in the given circuit is $\frac{2}{x} A$ . Find the value of $x$ .

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answer is 3.

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Detailed Solution

Points A and B are at same potential. Between A&D and between B&C, the battery emf (2V) is same. Hence, D and C are also at same potential. No current flows through $R_{1}$ .
Between D&E and between C&F, the battery emf (3V) is same. Hence, E and F are also at same potential. No current flows through $R_{2}$ . $R_{1} & R_{2}$ can be disconnected.
The effective circuit reduces to