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Electric Circuits and Networks, Ist Edition by Pearson
book

Electric Circuits and Networks, Ist Edition by Pearson

by K. S. Suresh Kumar
May 2024
Intermediate to advanced content levelIntermediate to advanced
840 pages
45h 20m
English
Pearson India
Content preview from Electric Circuits and Networks, Ist Edition by Pearson
514
12 HIGHER ORDER CIRCUITS IN TIME-DOMAIN
The impulse response of a linear time-invariant circuit is h(t) 2 e
–t
u(t) and the input to
the circuit is x(t) e
2t
u(t). The circuit was initially relaxed. Find its output by the convo-
lution x(t)*h(t). Also, find the convolution h(t)*x(t) and verify that it is the same as x(t)*h(t).
SOLUTION
Since the circuit was initially relaxed, the total response is given by the zero-state
response itself. The zero-state response to any input is obtained by convolving the input
source function with the impulse response. Therefore, the output y(t) is obtained as
The limits of integration were changed from – to 0 ...
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Publisher Resources

ISBN: 9781299447028