1. The output voltage of a transistor switching circuit is described by the following Fourier...

Question

1. The output voltage of a transistor switching circuit is described by the following Fourier series:00vo = XXXXXXXXXXcos nTT — 1 )sin not 2 2n = 1 What's the amplitude of the second harmonic of this voltage?(1) —1 V (2) — 2/n V (3) — (2/3)n V (4) 0 V" (Hint: (-1) n7r (cos —1) is the part of the 77 expression used for the peak amplitude; also, do not forget — .) 7T2. What's the DC component of the voltage described in question 1? (1) 0 V (2) 2/3n V (3) 2/n V (4) 1 V
	
Document Preview: voltage circuit is described by 
1. The output of a transiStqr switching the
following Fourier series:
@
)
(- 
l), nll
_ 
4.r 
Yo= I 
t /.o, \sin 
-n\212
;
n:l
What's the amplitude of the second harmonic of this voltage?
-lv
(l) 
wl
- 
-Z/nY (Hint: part 
1) is the of the
(2) 
,.o, T
# ./-
- 
(3) (2/3)nY
peak 
expresslonused for the amplitude; also, do
(4) 
0v
2
-.)
not forget
7r
J
..P ::' 
/_ 
'-
-_ a 
a 
question 
voltage in l?
What's the DC component of the described 
(l) 
0 v
(2) 2/3nY
(3) 2/nY 
;
(4) 
lv3. what's 
the fundamental 
60 frequency of 
the output in question 
I ?
(I) 
2/nHz
(Hint: 
From formula (2), 
the fundamental 
frequency
(2) 
n/2 Hz
: 
is determined 
by 2rnfi, where 
rz 1.
(3) 
r/4 
Hz
-!3+ 
: 
Solve 2rnfi 
for 
1t2 f.)
Hz
@) 
(s) 
10 
Hz
6Z{8
4. 
Which 
one of the following phrases 
correctly 
describes the differential
equauon
4! -ze-o.tr
- 
*0J.e!+4!! 
lor 
dtt 
dP 
dt
(l) 
Third-degree, 
firstorder, 
linear, homogeneous 
with constant
coefficients
(2) 
First-degree, 
third-order, 
linear, homogeneous 
with 
constant
coefficients
(3) 
First-degree, 
thirdorder, linear, 
nonhomogeneous with 
constant
coefficients
(a) 
Thirddegree, 
firstorder, 
linear, nonhomogeneous 
with 
constant
coefficients
(5) 
Thirddegree, third-order, 
nonlinear, 
homogeneous
5. If
-14+ 
+4ev=o
1+ 
ax' clx
then
(l)y:Ae1'+Be-z*.
= 
(2) y 
/s1x + Bel*.
- 
(3) y 
/g1x + Bxelx.
(4)y=Ae-1xsgrrlx.
Voltoge woveform 
for querlions XXXXXXXXXXWhich one of the following statements is true concerning the Fourier 6l
voltage waveform 
series representation of the shown in Fig. 39?
( possesses 
I Consists only of sine terms, since it even symmetry and no
) 
DC component.
(2) 
It consists only of cosine terms, since it has odd symmetry and no DC
component.
(3) It DC 
consistsof a term and cosine termsonly, sinceitpossesses even
symmetry.
(4) possesses 
It consists of a DC term and sine terms only, since it odd
symmetry.
(5) DC posine 
It consists of a term and both sine and terms,...

Robert · Accepted Answer

1. The output voltage of a transiStqr switching circuit is described by the
following Fourier series:
Yo=
( l )  - l v
(2)  -Z /nY
(3) - (2/3)nY
(4) 0v
(Hint: # ,.o,
used for
2- . )
7r
)
;
@
t (- l), /.o, 4.r _ I \sin nll-n\212
n: l
What's the amplitude of the second harmonic of this voltage?
expresslon
not forget
- 1) is the part of the
peak amplitude; also,
/ _  . . P  
: : '  
J
- _  a  a  
' -
What's the DC component of the voltage described in question l?
( l )  0  v
(2) 2/3nY
(3)  2 /nY ;
(4)  lv
do
wl
T./-
the
Sidd
Highlight
Sidd
Highlight
60 3. what's the fundamental frequency of the output in question I ?
( I)  2/nHz
(2) n/2 Hz
(3) r/4 Hz
@) 1t2 Hz
(s) 10 Hz
(Hint: From formula (2), the fundamental frequency
is determined by 2rnfi, where rz : 1.
Solve 2rnfi : -!3+ for f.)
6Z{8
4. Which one of the following phrases correctly describes the differential
equauon
4! *0J.e!+4!!  -  lor  -ze-o. t r
dtt dP dt
(l) Third-degree, f irstorder, l inear, homogeneous with constant
coefficients
(2) First-degree, th i rd-order,  l inear,  homogeneous with constant
coefficients
(3) First-degree, thirdorder, linear, nonhomogeneous with constant
coefficients
(a) Thirddegree, f irstorder, l inear, nonhomogeneous with constant
coefficients
(5) Thirddegree, third-order, nonlinear, homogeneous
5 .  I f
1+ -14+ +4ev=o
ax' clx
then
( l ) y :Ae1 '+Be-z* .
(2) y = /s1x + Bel*.
(3) y - /g1x + Bxelx.
(4 )y=Ae-1xsgr r l x .
Voltoge woveform for querl ions 5.8.
Sidd
Highlight
Sidd
Highlight
Sidd
Highlight
6 l6. Which one of the following statements is true concerning the Fourier
series representation of the voltage waveform shown in Fig. 39?
( I ) Consists only of sine terms, since it possesses even symmetry and no
DC component.
(2) It consists only of cosine terms, since it has odd symmetry and no DC
component.
(3) It consistsof a DC term and cosine termsonly, sinceitpossesses even
symmetry.
(4) It consists of a DC term and sine terms only, since it possesses odd
symmetry.
(5) It consists of a DC term and both sine and posine terms, since the
waveform has neither odd nor even symmetry.
The period of the voltage waveform in Fig. 39 is
( l )  1 .5  sec .
(2) 2.0 sec.
(3 )  3 .5  sec .
(4) 4.0 sec.
8. The DC term of the Fourier series representation of the waveform in Fig.
(Hint: The DC value of a waveform is found by dividing
the area of one period by the period length.

1. The output voltage of a transistor switching circuit is described by the following Fourier series: 00 vo = XXXXXXXXXXcos nTT — 1 )sin not 2 2 n = 1 What's the amplitude of the second harmonic of...

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