Figure P3.23 represents a temperature measurement system, where temperature T is linear lyrelated to the voltage source V S 2 by a transduction constant k . Use nodal analysis to determine the temperature. V S 2 = K T k = 10 V/°C V S 1 = 24 V R s = R 1 = 12 k Ω R 2 = 3 k Ω R 3 = 10 k Ω R 4 = 24 k Ω V a b = − 2.524 V In practice, V a b is used as the measure of temperature,which is introduced to the circuit through a temperaturesensor modeled by the voltage source V S 2 in serieswith R s .
Figure P3.23 represents a temperature measurement system, where temperature T is linear lyrelated to the voltage source V S 2 by a transduction constant k . Use nodal analysis to determine the temperature. V S 2 = K T k = 10 V/°C V S 1 = 24 V R s = R 1 = 12 k Ω R 2 = 3 k Ω R 3 = 10 k Ω R 4 = 24 k Ω V a b = − 2.524 V In practice, V a b is used as the measure of temperature,which is introduced to the circuit through a temperaturesensor modeled by the voltage source V S 2 in serieswith R s .
Solution Summary: The author calculates the temperature using nodal analysis. The diagram is shown in Figure 1. Mark the values and redraw the circuit.
Figure P3.23 represents a temperature measurement system, where temperature T is linear lyrelated to the voltage source
V
S
2
by a transduction constant k. Use nodal analysis to determine the temperature.
V
S
2
=
K
T
k
=
10
V/°C
V
S
1
=
24
V
R
s
=
R
1
=
12
k
Ω
R
2
=
3
k
Ω
R
3
=
10
k
Ω
R
4
=
24
k
Ω
V
a
b
=
−
2.524
V
In practice,
V
a
b
is used as the measure of temperature,which is introduced to the circuit through a temperaturesensor modeled by the voltage source
V
S
2
in serieswith
R
s
.
An RLE load is operating in chopper circuit from a 500 V de source as shown in Fig. (I) For
R = 0, L = 0.064 and constant E, the duty cycle is 0.2
(a) Derive the expression for the lo(max) and lo(min) for type A chopper, supplying RLE load.
Also, derive the expression for The maximum peak to peak ripple current.
(b) Find the chopping frequency to limit the amplitude of load current excursion to 10 A.
Fig.(1)
www
reeer
E
Q1) An RLE load is operating in chopper circuit from a 500 V dc source as shown in Fig.(1) For
R=0, L= 0.064 and constant E, the duty cycle is 0.2
(a) Derive the expression for the lo(max) and lo(min) for type A chopper, supplying RLE load.
Also, derive the expression for The maximum peak to peak ripple current.
(b) Find the chopping frequency to limit the amplitude of load current excursion to 10 A.
Vs
www
R
Fig.(1)
E
04)
A converter is feeding an RL load as shown in Fig. 2 with Vs = 220 V, R = 52, L = 7.5 mH,
f=1 kHz, d=0.5, and E=0 V. Calculate (a) the minimum instantaneous load current (b) the peak
instantaneous load current, (c) the maximum peak-to-peak load ripple current, (d) the average value
of load current la, (e) the rms load current lo, (f) the effective input resistance Ri seen by the source,
(g) the rms chopper current, and (h) the critical value of the load inductance for continuous load
current.
Chopper
FWD
500000
R
Fig.2
LL
Chapter 3 Solutions
Principles and Applications of Electrical Engineering
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