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in Current electricity by (20 points)

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1 Answer

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Correct option is (2) 1/13

Applying Kirchhoff law

\(i = i_1 + i_2\)   ......(1)

Apply Kirchhoff's second law first loop

\(2i + i + 2i = 2 - 1\)

\(3i + 2i_1 = 1\)

\(3(i_1 + i_2) + 2i_1 = 1\)

\(3i_2 + 5i_1 = 1\)    .....(2)

Applying Kirchhoff's second law second loop

\(3i_2 + i_2 - 2i_1 = 3 - 1\)

\(4i_2 + 2i_1 = 2\)     ......(3)

Solving equation (2) and (3) 

\(i_1 = \frac 1{13}A\)

Reading of ammeter is \(\frac 1{13}A\).

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