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.

R1 10 13 R2 20 V3 R3 5 V1 1 R4 10 50v R7 50 R8 20 I4 100V 12 R5 R6 25 30 For the circuits shown in the above figure, write the Mesh-current equations

CONSIDER ALL THE LOOP CURRENTS ARE IN THE CLOCKWISE DIRECTION.

APPLY KVL TO LOOP CURRENT I1.

25I1-100+5I1+50(I1-I2)=0

80I1-50I2=100 -------------(1)

APPLY KVL TO LOOP CURRENT I2.

30I2+50(I2-I1)+20(I2-I3)+50+20(I2-I4)=0

-50I1+120I2-20I3-20I4=-50 --------------(2)

APPLY KVL TO LOOP CURRENT I3.

10I3-50+20(I3-I2)=0

-20I2+30I3=50 ------------------(3)

APPLY KVL TO LOOP CURRENT I4.

10I4+80+20(I4-I2)=0

-20I2+30I4=-80 ---------------(4)

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

I1=1.174 AMPS

I2=-0.12 AMPS

I3=1.586 AMPS

I4=-2.74 AMPS

IR1=I3=1.586 AMPS

IR2=I3-I2=1.706 AMPS

IR3=I1=1.174 AMPS

IR4=I4=-2.74 AMPS

IR5=I1=1.174 AMPS

IR6=I2=-0.12 AMPS

IR7=I1-I2=1.294 AMPS

IR8=I2-I4=2.62 AMPS.