Parts (a) through (e) of this problem should be done by inspection—that is, mentally. The...

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 calculations. For the network in Fig. 1:

a. What is the approximate value of I1, considering the magnitude of the parallel elements?

---

b. What is the ratio I1/I2? Based on the result of part (a), what is an approximate value of I2?

---

c. What is the ratio I1/I3? Based on the result, what is an approximate value of I3?

---

d. What is the ratio I1/I4? Based on the result, what is an approximate value of

---

e. What is the effect of the parallel 100 kΩ resistor on the above calculations? How much smaller will the current I4 be than the current I4?

---

f. Calculate the current through the 1 Ω resistor using the current divider rule. How does it compare to the result of part (a)?

---

g. Calculate the current through the 10 Ω resistor. How does it compare to the result of part (b)?

---

h. Calculate the current through the 1 kΩ resistor. How does it compare to the result of part (c)?

---

i. Calculate the current through the 100 kΩ resistor. How does it compare to the solutions to part (e)?

FIG. 1