Find i(t) for t>0 if i(0) = 2A?

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SUMMARY

The discussion focuses on finding the current i(t) for t > 0 given the initial condition i(0) = 2A. The instructor advises removing the inductor and replacing it with a test source, specifically a 1A current test source. The voltage across this test source, Vtest, is calculated to be 30V, leading to a Thevenin resistance of 30 ohms. The participants clarify the nature of the "5i" component, identifying it as a current controlled current source (CCCS) that can be disregarded due to its shorted input.

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Homework Statement


Find i(t) for t>0 if i(0) = 2A


Homework Equations





The Attempt at a Solution



The hint from the instructor says to remove the inductor and replace it with a test source. First of all I hope I have the PSPICE schemtic drawn correctly. The dependent current source is .5i. Should I use a 1A current test source. That would make i test equal to the 1 A test source. Would V test be the voltage across the 1 A test source? If so, Vtest would be equal to 30 V. Then R thevenin would be vtest/i test = 30 ohms.
 

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What's the "5i" thing in the middle? It looks kind of like a current controlled voltage source (CCVS), but its input is shorted out?
 
berkeman said:
What's the "5i" thing in the middle? It looks kind of like a current controlled voltage source (CCVS), but its input is shorted out?

It seems to be a current controlled current source, but as you said the input branch is shorted, so it can be totally dismissed.
 

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