1. An RC network is given in Figure Q1.1 with the input voltage Vin(t) and the output voltage Vo(t). a) (i) Derive the transfer function of the network. (ii) If R1 = 10 kohm, R2 = 1 Mohm, C1 = 20 uF, and C2 = 200 uF, mathematically derive the system time response with an impulse input of magnitude b) Simplify the block diagram shown in Figure Q1.2 and find out the system transfer function Y(s)/R(s).

1. An RC network is given in Figure Q1.1 with the input voltage Vin(t) and the output voltage Vo(t). a) (i) Derive the transfer function of the network. (ii) If R1 = 10 kohm, R2 = 1 Mohm, C1 = 20 uF, and C2 = 200 uF, mathematically derive the system time response with an impulse input of magnitude b) Simplify the block diagram shown in Figure Q1.2 and find out the system transfer function Y(s)/R(s).

Electricity for Refrigeration, Heating, and Air Conditioning (MindTap Course List)

10th Edition

ISBN:9781337399128

Author:Russell E. Smith

Publisher:Russell E. Smith

Chapter17: Commercial And Industrial Air-conditioning Control Systems

Section: Chapter Questions

Problem 22RQ

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Question

1. An RC network is given in Figure Q1.1 with the input voltage Vin(t) and the
output voltage Vo(t).

a) (i) Derive the transfer function of the network.

(ii) If R1 = 10 kohm, R2 = 1 Mohm, C1 = 20 uF, and C2 = 200 uF,
mathematically derive the system time response with an impulse input of
magnitude

b) Simplify the block diagram shown in Figure Q1.2 and find out the system
transfer function Y(s)/R(s).

R1
Vin(t)
R2 v.(t)
Figure Q1.1. A RC network

H2
R(s)
G
G2
G3
Y(s)
Figure Q1.2. A block diagram

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how do I know which parts are divided and which parts are being multiplied?

YsRs=G1G2G31+G3H2+G1G2H1+G1G2G3H1H2-G1G2.

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