Tr The Eupert TAI Hunan : e Consider The Circuit n x , e Answers Should Be 1A ×

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Tr The Eupert TAI Hunan : e Consider The Circuit n x , e Answers Should Be 1A × /Common/lakeTutor marks bar. Import bookmarks now Assigament VI Begin Date: 103 2017 1:00:00 PMDue Date: 10/15/2017 9:00:00 PM End Date: 10/15/2017 9:00:00 PM (10%) Problem 8: Consider a creat shown in the figure lpore the internal resistances of the batterics Randomized Variables e-v E1 e2-28 v R2 E2, 12 R3-10S2. #14% Part (a) Express the cament 11 going drough resistor R, in terms ofthe cumental, and , going through resistors R2 and Rs Use the direction of the currents as specified in the figure 14% Part (b) Write the equation of potential change in loop EBAF in terms ofthe circuit elements. 14% Part (c) Write the equation of po e taal change in loop DCAF i temas of the creuat elements. 14% Part (d) Solve the three equations to get 13. 45 6 112131 (4% pe nemp detailled view Feedback: deduction-fredack Elints:-for a 2-2 dedaction Hina semang "You are solving a mem oftheee equtons, andthethree unknowns ne the currests Use subetatution to elimsate J and -A 14% Part (e) Calculatethe iamencal value of 1, in A. 14% Part (f) Calculate de minerial value of 12 in A. 14% Part (g) Calculate the numerical value of 1 A.

Explanation / Answer

a)

From Kirchoff's Junction rule

=>I1=I2+I3--------------1

b)

Applying Kirchoff's loop rule to EBAF loop

E1-I1R1-I3R3=0------------2

c)

applying kirchoff's loop rule to loop DCAF

-E2+I2R2-I3R3=0---------------3

d)

substituting 1 in 2

E1-(I3+I2)R1-I3R3=0

R1I2+(R1+R3)I3=E1-----------------4

substitutinf 1 in 3

R2I2-R3I3=E2-----------------5

4*R2-5R1

R1R2I2+(R1+R3)R2I3-R1R2I2+R1R3I3=E1R2-E2R1

(R1R2+R2R3+R3R1)I3=E1R2-E2R1

I3=(E1R2-E2R1)/(R1R2+R2R3+R3R1)

e)

I3=(14*3-28*8)/(8*3+3*10+8*10)

I3=-1.358 A

f)

from 5

3I2-10*(-1.358)=28

I2=4.81 A

g)

from 1

I1=4.81-1.358=3.45 A

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