A Fresh State of Mind
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Each of the two networks that follows has a non-zero initial state at t=0 (this is indicated for separately for each network). Find the network states for t > 0.
(Hint: what equivalent resistance is in parallel with each capacitor, and what time constant results from this combination?)
If v_a(0) = V, what is v_a(t) for t > 0? Enter your answer as a Python expression involving V
, R_1
, R_2
, and/or C
.
You may use exp(x)
or e**(x)
to represent e^x, and you may use ln(x)
to represent the natural log of x.
For t\geq 0, v_a(t) =~
If v_b(0) = V, what is v_b(t) for t > 0? Enter your answer as a Python expression involving V
, R_1
, R_2
, and/or C
.
You may use exp(x)
or e**(x)
to represent e^x, and you may use ln(x)
to represent the natural log of x.
For t\geq 0, v_b(t) =~