Question

4.19 We may design a dc power supply by cascading a full- wave rectifier and an RC circuit as depicted in Fig. P4.19. The full-wave rectifier output is given by z(t) = |x(t)|. Let H(jw) $H(jw) = \frac{Y(jw)}{Z(jw)} = \frac{1}{jwRC + 1}$ be the frequency response of the RC circuit. Suppose the input is $x(t) = cos(120\pi t)$. (c) Find the range for the time constant RC such that the first harmonic of the ripple in y(t) is less than 1% of the average value. R x(t) Full- wave rectifier z(t) y(t) C FIGURE P4.19 1) Plot z(t) a) Find the Trigonometric Fourier series of z(t) a') Plot the Trigonometric Fourier series of z(t) for n = 1, 3, 5, 10, 20 on the same graph b) Find the Trigonometric Fourier series of y(t) c) Same as stated. c') Choose RC in the range of question c), and plot the Trigonometric Fourier series of y(t) for n = 1, 3, 5, 10, 20 on the same graph

          4.19 We may design a dc power supply by cascading a full-
wave rectifier and an RC circuit as depicted in
Fig. P4.19. The full-wave rectifier output is given by
z(t) = |x(t)|.
Let H(jw)
$H(jw) = \frac{Y(jw)}{Z(jw)} = \frac{1}{jwRC + 1}$
be the frequency response of the RC circuit. Suppose
the input is $x(t) = cos(120\pi t)$.
(c) Find the range for the time constant RC such
that the first harmonic of the ripple in y(t) is
less than 1% of the average value.
R
x(t)
Full-
wave
rectifier
z(t)
y(t)
C
FIGURE P4.19
1) Plot z(t)
a) Find the Trigonometric Fourier series of z(t)
a') Plot the Trigonometric Fourier series of z(t)
for
n = 1, 3, 5, 10, 20 on the same graph
b) Find the Trigonometric Fourier series of y(t)
c) Same as stated.
c') Choose RC in the range of question c),
and plot the Trigonometric Fourier series
of y(t) for n = 1, 3, 5, 10, 20 on the
same graph

4.19 We may design a dc power supply by cascading a full-
wave rectifier and an RC circuit as depicted in
Fig. P4.19. The full-wave rectifier output is given by
z(t) = |x(t)|.
Let H(jw)
H(jw) = (Y(jw))/(Z(jw)) = (1)/(jwRC + 1)
be the frequency response of the RC circuit. Suppose
the input is x(t) = cos(120π t).
(c) Find the range for the time constant RC such
that the first harmonic of the ripple in y(t) is
less than 1% of the average value.
R
x(t)
Full-
wave
rectifier
z(t)
y(t)
C
FIGURE P4.19
1) Plot z(t)
a) Find the Trigonometric Fourier series of z(t)
a') Plot the Trigonometric Fourier series of z(t)
for
n = 1, 3, 5, 10, 20 on the same graph
b) Find the Trigonometric Fourier series of y(t)
c) Same as stated.
c') Choose RC in the range of question c),
and plot the Trigonometric Fourier series
of y(t) for n = 1, 3, 5, 10, 20 on the
same graph

Added by Olga C.

Question

Please give Ace some feedback