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B3802 Pages: 3

Find Laplace transform of the following:
i) sin(5t).cos(2t) 11) ६८ 20605 (೧

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Answer any two full questions, each carries 15 marks
Solve the differential equation using Laplace Transform, given y(0) = 1 and
y'(0) =0.
y"—y'—2y=t
The current I(s) of a network is
10s

€ = GE DET)
Plot its pole-zero plot and hence obtain i(t) from the pole-zero plot.
Write any five properties of driving point immittance functions.
Find the steady state output voltage Vo(t), given the input voltage
V,(t) = 10 cos (2t + 400) 7

Vi 5 ‏عل‎ Vo
च (5 + 1)(5+2)

The switch is in position | for a long time. At t = 0, it is moved to position 2. Find
v(t) fort > 0.

Find/,/1, and Z,, for the below network.
1 242 2೧ 20
+ ‏چم‎

7 1
~ ©

The switch is opened for a long time. The switch is closed for 1 > 0. Find the
expression of capacitor voltage V(t) fort > 0. Then determine capacitor current i.

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