Question
Before t = 0 the circuit shown has been operating. At t = 0, the switch closes. We wish to determine the current i(t) for all t >= 0.
a) By the circuits physics, determine the initial conditions needed for analyzing the circuit for all t >=0. Determine and draw the equivalent circuit for all t <= 0, ilustrate any current or voltage used in the analysis, and the initial conditions being determined.
b) Determine and draw the equivalent circuit for the “s” domain for t >=0.
c) By circuit analysis on “s” domain, determine the Laplace transform I(s) for i(t). Express your result as a rational function on “s”.
d) Determine the current i(t) for all t>=0 based on the result of part (c).
e) Check your final result by three methods: based on the circuit’s physics, based on the result from part (d) and by applying the Final Value Theorem to the result of part (c).
100 Ω 300 Ω t-0 20 Volts + 50uF i(t)2.5 H
0 0
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