Problem 7. (4 points) This is NOT a multiple-choice problem! A resistor network
ID: 1771195 • Letter: P
Question
Problem 7. (4 points) This is NOT a multiple-choice problem! A resistor network and Kirchhoffs rules. Three resistors and two batteries form a circuit. The emfE; = 1 V and E2-2 V are applied to resistors R1 = 1 , R2-2 , and R3-3 as shown in Fig. 4. Rank the resistors according to the current across resistors from largest to smallest. Answer: Note: Answer should include '>, or ‘ , or ‘=, for example, h > 1,-13, where 1 is a symbol of the current across a resistor.) Ri R2 R3 Figure 4. A resistor network with three resistors and two batteries.Explanation / Answer
for upper loop in clockwise
-E1 + I1*R1 + I2*R2 = 0
-1 + I1*1 + I2*2 = 0 ..........(1)
for lower loop in clockwise
E2 - I2*R2 - I3*R3 = 0
2 - I2*2 - I3*3 = 0.............(2)
from kirchoff junction law
I3 + I1 = I2.....................(3)
solving 1 , 2, 3
I1 = 0.09 A
I2 = 0.454 A
I3 = 0.364 A
I2 > I3 > I1