Homework Statement
Find v(t) for all t>0. Use second order method.
Homework Equations
The Attempt at a Solution
Before the switch is closed:
solving for i:
-80+160i+80i+80i=0
i=0.25A
KCL:
From node v(t):
[C dv(t)/dt] + i(t) + [V(t)/4] + [(v(t)-80i)/80]+[(v(t)-80)/160] = 0...
So in other words, after an amount of time(that is t=infinite) the current in the inductor will be zero due to the resistor dissipate the energy being stored in the inductor till 0?
So the current before and after the switch is closed:
I(0-) = I(0+)=I(0), but not equal to I(∞)
Is this correct?
Another question:
The following attachment is the circuit diagram:
The answer given for the inductor current[I(∞)] = 0A
From what that I understand, as time=∞,the...
With the statement of:
"The circuit is at steady state before the switch closes"
Does this means when t<0, the inductor is at steady state and it is short circuit. Am I correct?
Then when t>0, the switch is closed and the inductor is also in a steady state?
When t=∞, the inductor is...