Basic Circuit Theory
Chpter17 Problems
(Unless otherwise specified, the diode characteristic is assumed to be as shown in Fig. 17-15b)
1 Sketch the characteristic of each of the following circuits shown in Fig. 17-31, the diode
characteristic is shown in Fig. 17-31e.
2 Sketch the transfer characteristic of each of the following circuits shown in Fig. 17-32 the
transfer characteristic being .
in
vv /
0
+
-
+
-
+
- -
++
-
v
?1
i
V2
v
?1
i
v
i
v
?1
i
v
i
2=g
(a) (b) (c) (d) (e)
Fig. 17-31 For prob. 1.
3 If in the circuit of Fig. 17-32b the input voltage is = A sin 5t, sketch the output voltage
for A= 1V. Repeat for A= 3V.
)(tv
in
+
-
+
-
-
+
-+
+
-
-
- +
+
?1
in
vV2
o
v
?1
in
v
V2
o
v
V2
(a) (b)
Fig. 17-32 For prob. 2.
4 Obtain the transfer characteristic of the following circuit shown in Fig. 17-33. Let the input
voltage be a triangular wave. Sketch the output voltage.
5 Obtain the i-v characteristic of the following circuit shown in Fig. 17-34.
6 For the circuit of Fig. 17-35 where e(t) = 10 + 0.5 cos t A, diode characteristic ,
find the voltage v in diode.
)0(
2
>= vvi
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1
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Fig. 17-36 For prob. 7.
R
A
e
v
1
E
2
E
B
e
7 The Fig. 17-36 is a logic circuit. What does it do?
+
-
+
-
+
-
Fig. 17-34 For prob. 5.
i
v
V2
V1
A2A1
+
-
+
- +
-
-
+
-
+
-
+
+
-
?1
in
v
?2
o
v
?2
?3
Fig. 17-33 For prob. 4.
+
-
)(ti
in
v
i
?
3
1
D
Fig. 17-35 For prob. 6.
Basic Circuit Theory
Chpter17 Problems
8 The Fig. 17-37 is a “ diode matrix ”. As shown the circuit encodes the presence of e into the
binary number [ 1 0 1 ] and that of e the number [ 1 1 0 ]. Explain the operation of the circuit.
A
B
+
-
+
-
A
e
1
x
2
x
3
x
B
e
1
0
A
e
2
x
3
x
B
e
1
x
0
1
1
1
Fig. 17-37 For prob. 8.
9 Construct a diode matrix to encode each of the 10 decimal digits into its binary representation.
10 A nonlinear capacitor may be used as a harmonic generator. Let a nonlinear capacitor be
characterized by a charge-voltage (q~v) relation: q = v+v
3
. Let v(t) = sint. Find the harmonics
of the current in the capacitor. Choose a q~v relation such that only the third harmonics
appears.
Reference Answers to Selected Problems
6: 2 – 0.0715 cos t V.
7: “ AND ” gate.
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