33. Parts (a) through (e) of this problem should be done by inspection-that is, mentally. The intent is to obtain an approximate solution without a lengthy series of calcula- tions. For the network in Fig. 102: a. What is the approximate value of I1, considering the magnitude of the parallel elements? b. What is the ratio Il½? Based on the result of part (a), what is an approximate value of l½? c. What is the ratio I/13? Based on the result, what is an approximate value of I3?

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Chapter1: Units, Trigonometry. And Vectors
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33. Parts (a) through (e) of this problem should be done by
inspection-that is, mentally. The intent is to obtain an
approximate solution without a lengthy series of calcula-
tions. For the network in Fig. 102:
a. What is the approximate value of I1, considering the
magnitude of the parallel elements?
b. What is the ratio I¡/I2? Based on the result of part (a),
what is an approximate value of 12?
c. What is the ratio I/I3? Based on the result, what is an
approximate value of I3?
d. What is the ratio I/I4? Based on the result, what is an
approximate value of I4?
e. What is the effect of the parallel 100 kN resistor on the
above calculations? How much smaller will the current
I4 be than the current I¡?
f. Calculate the current through the 1 2 resistor using the
current divider rule. How does it compare to the result
of part (a)?
g. Calculate the current through the 10 2 resistor. How
does it compare to the result of part (b)?
h. Calculate the current through the 1 kn resistor. How
does it compare to the result of part (c)?
i. Calculate the current through the 100 k2 resistor. How
does it compare to the solutions to part (e)?
10
10 Ω
1 kN
I = 10 A
I. 100 kN
Transcribed Image Text:33. Parts (a) through (e) of this problem should be done by inspection-that is, mentally. The intent is to obtain an approximate solution without a lengthy series of calcula- tions. For the network in Fig. 102: a. What is the approximate value of I1, considering the magnitude of the parallel elements? b. What is the ratio I¡/I2? Based on the result of part (a), what is an approximate value of 12? c. What is the ratio I/I3? Based on the result, what is an approximate value of I3? d. What is the ratio I/I4? Based on the result, what is an approximate value of I4? e. What is the effect of the parallel 100 kN resistor on the above calculations? How much smaller will the current I4 be than the current I¡? f. Calculate the current through the 1 2 resistor using the current divider rule. How does it compare to the result of part (a)? g. Calculate the current through the 10 2 resistor. How does it compare to the result of part (b)? h. Calculate the current through the 1 kn resistor. How does it compare to the result of part (c)? i. Calculate the current through the 100 k2 resistor. How does it compare to the solutions to part (e)? 10 10 Ω 1 kN I = 10 A I. 100 kN
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