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Solved Problems-7

Problems-7
In the R-L circuit as shown, the switch is in position-1 long enough to establish steady state condition and at t = 0 it is switched to position-2. Find the resulting current, i(t).
 
Description: Description: Description: 1241.png
 
Solution
When the switch is in position 1, steady-state exists and the initial current through the inductor is,
Description: Description: 7537.png
 
After the switch is moved to position 2, the KVL gives, in Laplace transform,
Description: Description: 7543.png
or Description: Description: 7549.png
 
where, Description: Description: 7555.png
 
∴ Description: Description: 7561.png
 
Taking inverse Laplace transform,
Description: Description: 7570.png 
 




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