4. (a) A resistor network is shown in Figure 4(a). By applying the Kirchhoff's current law, determine the value of the currents I1, I3 and I4. l4 Is =50A 1=100A 12 =30A I6 =20A Figure 4(a)

Power System Analysis and Design (MindTap Course List)
6th Edition
ISBN:9781305632134
Author:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Publisher:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Chapter2: Fundamentals
Section: Chapter Questions
Problem 2.17MCQ: Consider the load convention that is used for the RLC elements shown in Figure 2.2 of the text. A....
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4. (a) A resistor network is shown in Figure 4(a). By applying the Kirchhoff's
current law, determine the value of the currents I, Iz and I4.
l4
Is =50A
I7=100A
I2 =30A
ww
16 =20A
Figure 4(a)
(b) As shown in Figure 4(b), a series RLC circuit is connected to a 50 V 50 Hz
AC supply. The circuit consists of a 20 resistor, a 25 mH inductor, and a
200 µF capacitor.
(i) Determine the total impedance (Z) in rectangular form.
(ii) Calculate the supply current (I) in polar form; and
(iii) Calculate the voltages across the resistor (VR), inductor (VL), and capacitor
(Vc) in polar form.
(iv) Sketch a phasor diagram to show the supply current (1), supply voltage (V),
and voltages across the resistor (VR), inductor (VL), and capacitor (Vc).
50 V, 50 Hz
R
L
C
Figure 4(b)
(c) A student is doing a test for the LRC circuit similar with connection shown
in Figure 4(b). He takes a resistor with a low resistance value. Then, he
randomly picks an inductor and capacitor. At last, he connects a 220 V a.c.
to all of them in series. However, it is found that the protection fuse of the
circuit is blown. Identify the possible problem with explanation.
Transcribed Image Text:4. (a) A resistor network is shown in Figure 4(a). By applying the Kirchhoff's current law, determine the value of the currents I, Iz and I4. l4 Is =50A I7=100A I2 =30A ww 16 =20A Figure 4(a) (b) As shown in Figure 4(b), a series RLC circuit is connected to a 50 V 50 Hz AC supply. The circuit consists of a 20 resistor, a 25 mH inductor, and a 200 µF capacitor. (i) Determine the total impedance (Z) in rectangular form. (ii) Calculate the supply current (I) in polar form; and (iii) Calculate the voltages across the resistor (VR), inductor (VL), and capacitor (Vc) in polar form. (iv) Sketch a phasor diagram to show the supply current (1), supply voltage (V), and voltages across the resistor (VR), inductor (VL), and capacitor (Vc). 50 V, 50 Hz R L C Figure 4(b) (c) A student is doing a test for the LRC circuit similar with connection shown in Figure 4(b). He takes a resistor with a low resistance value. Then, he randomly picks an inductor and capacitor. At last, he connects a 220 V a.c. to all of them in series. However, it is found that the protection fuse of the circuit is blown. Identify the possible problem with explanation.
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