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Super position theorem(SPT)

In the given ...

Question

In the given circuit, superposition is applied. When $V_{2}$ is set to 0 V, the current $I_{2}$ is -6 A. When $V_{1}$ is set to 0 V, the current $I_{1}$ is +6 A. Current $I_{3}$ (in A) when both sources are applied will be (up to two decimal places)

1

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Solution

The correct option is A 1
Case I:

$I_{2} = - 6 A$

Apply current division and KCL we get

$I_{3}^{'} = - 2 A$

Case II:

$I_{1} = 6 A$

Apply current division we get

$I_{3}^{''} = 3 A$

$I_{3} = I_{3}^{'} + I_{3}^{''} = - 2 A + 3 A = 1 A$

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