A vs 5 s 2 s 3 s 2 find v t by first performing a

The voltage in a circuit, expressed in Laplace domain, is given by the questions below.
a. V(s) =
5 /( s
(
2 s + 3
) (
s + 2
)
) .
Find v ( t ) by first performing a partial fraction
expansion and then inverting back to time domain using Laplace tables.
b. Determine the numerical value of v ( t ) at t = 1 second.
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c. The voltage in a circuit, expressed in Laplace domain, is given by
V(s) =
5 /(
2
+ 2 s + 5 )
. Find v(t) using Laplace tables.
s
d. Determine the numerical value of v ( t ) at t = 1 second.
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5. An RLC circuit is shown below. There is an initial voltage of 5 V on the capacitor, with polarity
as marked in the circuit. The switch is closed at t = 0 and a current i ( t ) is assumed to flow
clockwise . Write the integral-differential equation of this circuit using Kirchoff’s method
(sum of all voltages around a loop is zero). Apply Laplace transform as outlined in the lecture
for Week 2 and in the document “Solving RC, RLC, and RL Circuits Using Laplace Transforms”
(located in Doc Sharing) and write i ( s ) in Laplace transform notation. Express the
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