Find the current passing through the 2Ω resistor using superposition.


Find  using superposition rule:
 using superposition rule:
The superposition theorem states that the response (voltage or current) in any branch of a linear circuit which has more than one independent source equals the algebraic sum of the responses caused by each independent source acting alone, while all other independent sources are turned off (made zero).
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Determine  ,
,  and
 and  using the superposition method.
 using the superposition method.

Solution
I. Contribution of the  voltage source:
 voltage source:
We need to turn off the current source by replacing it with an open circuit. Recall that we do not turn off dependent sources. The resulting circuit is shown below.
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Determine  and
 and  using the superposition method.
 using the superposition method.

Solution
I. Contribution of the  voltage source:
 voltage source:
To find the contribution of the  voltage source, other three sources should be turned off. The
 voltage source, other three sources should be turned off. The  voltage source should be replaced by short circuit. The current source should be replaced with open circuits, as shown below.
 voltage source should be replaced by short circuit. The current source should be replaced with open circuits, as shown below.
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