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Solved Problems-9

Problems-9
Find using Final value theorem, the steady state value of I2(t) in the circuit shown in figure below. Switch S is closed at t = 0. The inductor is initially de-energized.
 
Description: Description: 3055.png
 
Solution
Circuit for t > 0 is,
Description: Description: Description: 1284.png
 
By KVL, in Laplace transform,
Description: Description: 7692.png
or Description: Description: 7698.png(i)
 
and Description: Description: 7706.png
 
or Description: Description: 7712.png(ii)
 
Solving equations (i) and (ii),
Description: Description: 7718.png
and
Description: Description: 7727.png
 
∴ Description: Description: 7735.png
 
∴ Description: Description: 7741.png 
 




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