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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
Let v(t) V
m
sin
ω
t V. A new voltage waveform is generated from this waveform by a
process called half-wave rectification, which is represented mathematically as
Find the rms value and cycle average value of v
r
(t).
SOLUTION
The area under squared v
r
(t) over one T will be half the area under squared v(t) since
one half-cycle is missing in v
r
(t). Therefore, rms value of v
r
(t) will be times the rms
value of v(t). Therefore, rms value of v
r
(t) 0.5 V
m
V.
Half-cycle average of v(t) is 2 V
m
/
π
. Therefore, half-cycle area
V
m
T/
π
. This area becomes the full cycle area in v
r
(t) since second half cycle is zero-
valued. Therefore, cycle average of
vt
VT
T
V
r
m
m
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Publisher Resources

ISBN: 9781299447028