i was working through this old electronics SE question. Initial conditions have the capacitor voltage and inductor current both zero.
Using Laplace we can find the voltage across the inductor, ${30s/(s+5)}$, which i then take the inverse Laplace of in MCAD and the result is:
This represents the voltage across the inductor when the circuit is suddenly excited at t=0. The second term is understandable, a decaying exponential.
What is the physical significance of the dirac term (times 30)?
I simulated the circuit in transients analysis software and here is a plot of the first 100mS or so of voltage (switch closed at t=0.1 in the simulation). It eventually dies down to zero as expected.
