a) Design a parallel RLC circuit using component values from the tables given below, with a resonant radian frequency of 2krad/s. Choose a resistor or resistors so that the response is overdamped. Draw your circuit. b) How should you adjust the resistor for the circuit you designed in part (a) so that the roots of the characteristic equation are – 1600 + j1200 rad/s. Capacitors 10 pF 22 pF 47 pF 100 pF 220 pF 470 pF 0.001 µF 0002 μF 0.0047 µF 0.01 µF 002 μF 0.047 µF Resistors (5% tolerance)[12] 0.1 µF 0.22 µF 0.47 µF 10 100 1.0 k 10k 100k 1.0 M 1 µF 10 μF 2.2 µF 4.7 µF 120 1.2 k 12k 120 k 22 µF 47 µF 15 150 1.5 k 15 k 150 k 1.5 M 100 µF 220 µF 470 μF 180 1.8 k 18k 180 k 22 220 2.2 k 22 k 220 k 2.2 M Inductors 270 2.7 k 27k 270 k 33 330 3.3 k 33 k 330 k 3.3 м Value Current Rating 390 3.9 k 39 k 390 k 10 μΗ ЗА 47 470 4.7 k 47k 470 k 4.7 M 100μΗ 0.91 A 560 5.6 k 56k 560 k 1 mH 0.15 A 68 680 6.8 k 68 k 680 k 6.8 M 10 mH 0.04A

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a) Design a parallel RLC circuit using component values from the tables given below, with a resonant radian
frequency of 2krad/s. Choose a resistor or resistors so that the response is overdamped. Draw your circuit.
b) How should you adjust the resistor for the circuit you designed in part (a) so that the roots of the
characteristic equation are −1600 ± j1200 rad/s.

Capacitors
10 pF
22 pF
47 pF
100 pF
220 pF
470 pF
0.001 µF
0.0022 µF
0.0047 µF
0.01 µF
0.022 µF
0.047 µF
Resistors (5% tolerance)[12]
0.1 µF
0.22 µF
0.47 µF
10
100
1.0 k
10k
100k
1.0 M
1 µF
2.2 µF
4.7 µF
120
1.2 k
12k
120 k
10 µF
22 µF
47 µF
15
150
1.5 k
15 k
150 k 1.5 M
100 µF
220 µF
470μF
180
1.8 k
18k
180 k
22
220
2.2 k
22 k
220 k
2.2 M
Inductors
270
2.7 k
27k
270 k
33
330
3.3 k
33k
330 k 3.3 M
Value
Current Rating
390
3.9 k
39 k
390 k
10 µH
ЗА
47
470
4.7 k
47k
470 k
4.7 M
100 Η
0.91 A
560
5.6 k
56 k
560 k
1 mH
0.15 A
68
680
6.8 k
68 k
680 k
6.8 M
10 mH
0.04A
Transcribed Image Text:Capacitors 10 pF 22 pF 47 pF 100 pF 220 pF 470 pF 0.001 µF 0.0022 µF 0.0047 µF 0.01 µF 0.022 µF 0.047 µF Resistors (5% tolerance)[12] 0.1 µF 0.22 µF 0.47 µF 10 100 1.0 k 10k 100k 1.0 M 1 µF 2.2 µF 4.7 µF 120 1.2 k 12k 120 k 10 µF 22 µF 47 µF 15 150 1.5 k 15 k 150 k 1.5 M 100 µF 220 µF 470μF 180 1.8 k 18k 180 k 22 220 2.2 k 22 k 220 k 2.2 M Inductors 270 2.7 k 27k 270 k 33 330 3.3 k 33k 330 k 3.3 M Value Current Rating 390 3.9 k 39 k 390 k 10 µH ЗА 47 470 4.7 k 47k 470 k 4.7 M 100 Η 0.91 A 560 5.6 k 56 k 560 k 1 mH 0.15 A 68 680 6.8 k 68 k 680 k 6.8 M 10 mH 0.04A
a) Design a parallel RLC circuit using component values from the tables given below, with a resonant radian
frequency of 2krad/s. Choose a resistor or resistors so that the response is overdamped. Draw your circuit.
b) How should you adjust the resistor for the circuit you designed in part (a) so that the roots of the
characteristic equation are – 1600 + j1200 rad/s.
Capacitors
10 pF
22 pF
47 pF
100 pF
220 pF
470 pF
0.001 µF
0002 μF
0.0047 µF
0.01 µF
002 μF
0.047 µF
Resistors (5% tolerance)[12]
0.1 µF
0.22 µF
0.47 µF
10
100
1.0 k
10k
100k
1.0 M
1 µF
10 μF
2.2 µF
4.7 µF
120
1.2 k
12 k
120 k
22 µF
47 µF
15
150
1.5 k
15 k
150 k
1.5 M
100 µF
220 µF
470 μF
180
1.8 k
18k
180 k
22
220
2.2 k
22 k
220 k
2.2 M
Inductors
270
2.7 k
27k
270 k
33
330
3.3 k
33 k
330 k
3.3 м
Value
Current Rating
390
3.9 k
39 k
390 k
10 μΗ
ЗА
47
470
4.7 k
47k
470 k
4.7 M
100μΗ
0.91 A
560
5.6 k
56k
560 k
1 mH
0.15 A
68
680
6.8 k
68 k
680 k
6.8 M
10 mH
0.04A
Transcribed Image Text:a) Design a parallel RLC circuit using component values from the tables given below, with a resonant radian frequency of 2krad/s. Choose a resistor or resistors so that the response is overdamped. Draw your circuit. b) How should you adjust the resistor for the circuit you designed in part (a) so that the roots of the characteristic equation are – 1600 + j1200 rad/s. Capacitors 10 pF 22 pF 47 pF 100 pF 220 pF 470 pF 0.001 µF 0002 μF 0.0047 µF 0.01 µF 002 μF 0.047 µF Resistors (5% tolerance)[12] 0.1 µF 0.22 µF 0.47 µF 10 100 1.0 k 10k 100k 1.0 M 1 µF 10 μF 2.2 µF 4.7 µF 120 1.2 k 12 k 120 k 22 µF 47 µF 15 150 1.5 k 15 k 150 k 1.5 M 100 µF 220 µF 470 μF 180 1.8 k 18k 180 k 22 220 2.2 k 22 k 220 k 2.2 M Inductors 270 2.7 k 27k 270 k 33 330 3.3 k 33 k 330 k 3.3 м Value Current Rating 390 3.9 k 39 k 390 k 10 μΗ ЗА 47 470 4.7 k 47k 470 k 4.7 M 100μΗ 0.91 A 560 5.6 k 56k 560 k 1 mH 0.15 A 68 680 6.8 k 68 k 680 k 6.8 M 10 mH 0.04A
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