b) An RC network is given in Figure Q1.1 with the input voltage vin(t), the output voltage vo(t), and R;=(10000+XY)2. Note that XY are the last two digits of your student number. For example, if your number is C1700123, then R1=(10000+23) = 100232 or if your number is C1700100 then R1=(10000+00) = 10000Q (i) Derive the transfer function of the network. (ii) If R2=1MQ, C;=20µF, C2=(200+XY)µF and C3=10µF, mathematically derive the system time response with a step input of magnitude 2. Note that XY are the last two digits of your student number. For example, if your number is C1700123, then C2=(200+23)µF = 223µF or if your number is C1700100 then C2=(200+00)µF = 200µF %3D R1 Vin(t) C;: R2 Vo(t) Figure Q1.1. An RC network

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Student number: 1700123
b)
An RC network is given in Figure Q1.1 with the input voltage vin(t), the output
voltage vo(t), and R1=(10000+XY)N.
Note that XY are the last two digits of your student number. For example, if your
number is C1700123, then R1=(10000+23) = 100230 or if your number is C1700100
then R1=(10000+00) = 100002
(i)
Derive the transfer function of the network.
(ii) If R2=1MQ, C;=20µF, C2=(200+XY)µF and C3=10µF, mathematically
derive the system time response with a step input of magnitude 2.
Note that XY are the last two digits of your student number. For example, if your
number is C1700123, then C2=(200+23)µF = 223µF or if your number is
C1700100 then C2=(200+00)µF = 200µF
%3D
C3
R1
Vin(t)
C2
R2 Vo(t)
Figure Q1.1. An RC network
Transcribed Image Text:b) An RC network is given in Figure Q1.1 with the input voltage vin(t), the output voltage vo(t), and R1=(10000+XY)N. Note that XY are the last two digits of your student number. For example, if your number is C1700123, then R1=(10000+23) = 100230 or if your number is C1700100 then R1=(10000+00) = 100002 (i) Derive the transfer function of the network. (ii) If R2=1MQ, C;=20µF, C2=(200+XY)µF and C3=10µF, mathematically derive the system time response with a step input of magnitude 2. Note that XY are the last two digits of your student number. For example, if your number is C1700123, then C2=(200+23)µF = 223µF or if your number is C1700100 then C2=(200+00)µF = 200µF %3D C3 R1 Vin(t) C2 R2 Vo(t) Figure Q1.1. An RC network
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