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Solved Problems-3

Problems-3
Description: Description: Description: 2130.png
 
Use superposition theorem on the circuit shown in figure to find I.
 
Solution
Description: Description: Description: 2138.png
(i) Voltage source acting alone (ii) Current source acting alone
 
For Fig. (i), by KVL, Description: Description: Description: 4524.png
 Description: Description: Description: 4530.png
 Description: Description: Description: 4539.png
 
For Fig (ii), by KCL at node (x)
Description: Description: Description: 4545.png(i)
 
But loop analysis in the left loop gives,
Description: Description: Description: 4552.png
or Description: Description: Description: 4558.png
 
From (i), Description: Description: Description: 4564.png
 Description: Description: Description: 4571.png
∴  Description: Description: Description: 4577.png
 
So, by superposition theorem total current
 
I = Description: Description: Description: 4583.png
 




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