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Homework Statement
I had a question about transient circuits. I was asked to find an expression for ##v_C(t)## at any time ##t## for the following circuit. My work is shown in the image below.
Then the response is interrupted at ##t = 50 ms## by the switch being opened and I'm asked to derive a new equation for ##v_C(t)## for ##t > 50 ms##.
Homework Equations
The Attempt at a Solution
It seems like the capacitor is in steady state operation for any time ##t## regardless of the switch ##(i = 0)##. When I consider ##t \rightarrow \infty## in step 2, the extra wire seems to be confusing me for some reason.
The ##4k## and ##1k## are actually in parallel (for convenience, ##R_{eq} = \frac{4k}{5}##), but how am I to find the voltage across the open terminals in this case?
Is it simply the voltage across all of the components? Then ##v_c(t \rightarrow \infty) = 60V = V_F## since the remaining ##1k## and ##R_{eq}## are in series.