Write all MESHcurrent equations Find all the currents in all

Write all MESH-current equations. Find all the currents in all branches and check the power balance of each circuit.

CONSIDER ALL THE LOOP CURRENTS IN CLOCK WISE DIRECTION.

APPLY KVL TO LOOP I1.

-50+10I1+20(I1-I2)=0

30I1-20I2=50 -------------(1)

APPLY KVL TO LOOP CURRENTS I2 AND I3.

5I3+10+30(I2-I4)+10I2+20(I2-I1)=0

-20I1+60I2+5I3-30I4=-10 ----------------(2)

FROM THE CIRCUIT

I3-I3=10 -----------------(3)

APPLY KVL TO LOOP CURRENT I4.

40I4+10+30(I4-I2)=0

-30I2+70I4=-10 ----------------(4)

FROM EQUATIONS (1),(2),(3)&(4)

I1=2.85 AMPS

I2=1.779 AMPS

I3=-8.22 AMPS

I4=0.619 AMPS

IR1=I3=-8.22 AMPS

IR3=I1=2.85 AMPS

IR4=I4=0.619 AMPS

IR6=I2=1.779 AMPS

IR7=I1-I2=1.071 AMPS

IR8=I2-I4=1.16 AMPS.