R4 R2 22k SolutionAPPLY KVL TO LOOP CURRENT I1 101000I1I2220

Solution

APPLY KVL TO LOOP CURRENT I1.

+10+1000(I1-I2)+2200(I1-I)=0

3200I1-1000I2-2200I=-10

APPLY KVL TO LOOP CURRENT I2

3I2+1(I2-I)+1(I2-I1)=0

-I1+5I2-I=0

APPLY KVL TO LOOP CURRENT I

5000I+15+2200(I-I1)+1000(I-I2)=0

-2200I1-1000I2+8200I=-15

FROM THE ABOVE EQUATIONS

I1=-6.35*10^-3 AMPS

I2=-2.02*10^-3 AMPS

I=-3.78*10^-3 AMPS