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Kirchoff's Law and Problems on It

Question

In the circuit of adjoining figure the current through $$12\ \Omega$$ resistor will be

A

$$1\ A$$

B

$$\dfrac 25\ A$$

C

$$\dfrac 15\ A$$

D

$$0\ A$$

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Solution

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Correct option is D. $$0\ A$$
Let the current in $$12\Omega$$ resistance is $$i$$
Applying loop theorem in closed mesh $$AEFCA$$
$$12i=-E+E=0$$ $$\therefore i=0$$

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