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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
(12.1-28)
The output voltage v
o
(t) is k times v
2
(t). Therefore, the differential equation
governing the behaviour of the output voltage is
(12.1-29)
SOLUTION (II)
Natural frequencies are roots of characteristic equations. The characteristic equation
of the differential equation in Eqn. 12.1-29 is and its roots are
.
The natural frequencies are coincident at –1 (with RC 1 s) when k is 1. As k
increases from 1, the natural frequencies become complex conjugate numbers with a
negative real part. When k assumes the value of 3, the natural frequencies become +j1
rad/s and –j1 rad/s. As k increases above 3, the natural frequencies become complex
conjugate ...
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Publisher Resources

ISBN: 9781299447028