Use Simplified Nodal analysis to compute the voltage l0 thro

Use Simplified Nodal analysis to compute the voltage, l_0, through the resistor in Circuit 5

APPLY NODAL ANALYSIS AT NODE V1 AND V2

(V1/4)+(V1-V3)/1+V2/1=1+2VO

V1(1+1/4)+V2+V3(-1)=1+2(V1-V3)

V1(1+1/4)+V2-V3=1+2V1-2V3

V1(-3/4)+V2-V3+2V3=1

FROM THE CIRCUIT

V2-V1=4IO

V2-V1=4(V3/4)

-V1+V2-V3=0

APPLY NODAL ANALYSIS AT NODE V3

(V3-10)/2+V3/4+(V3-V1)/1+2VO=0

(V3-10)/2+V3/4+(V3-V1)/1+2(V1-V3)=0

V1+V3(-1/4)=5

FROM THE ABOVE THREE EQUATIONS

V1=4.848 VOLTS

V2=5.242 VOLTS

V3=-0.606 VOLTS

I0=V3/4=-0.606/4=-0.1515 AMPS