HERE IS A NODE ANALYSIS QUESTION:
IN COMPLEX NETWORK THERE ARE FIVE BRANCHES AND TWO VOLTAGE SOURCES.
I FOUND V1 AND V2 BUT NOT CURRENTS IN EACH RESISTOR YET
GIVEN THAT:
R1 = 2 Ω
R2 = 2 Ω
R3 = 3 Ω
R4 = 6 Ω
R5 = 6 Ω
E1 = 2 VOLTS
E2 = 2 VOLTS
I FOUND THE EQUATIONS BY NODE ANALYSIS
EQUATION 1 IS (V1/R2)+(V1-E1/R1)+(V1-V2/R3)=0
WHICH IS AFTER SOLVING BY PUTTING VALUES
4V1-V2=3----------EQ:1
EQUATION 2 IS (V2/R4)+(V2-V1/R3)+(V2+E2/R5)=0
WHICH IS AFTER SOLVING BY PUTTING VALUES
V1-2V2=1------------EQ:2
AFTER SIMULTANEOUSLY SOLVING EQUATIONS
V1=5/7 VOLTS
V2=-1/7 VOLTS
NOW I WANT TO FIND CURRENTS IN EACH RESISTOR SO PLZ HELP ME OUT
BY FINDING CURRENTS IN ALL BRANCHES
IN COMPLEX NETWORK THERE ARE FIVE BRANCHES AND TWO VOLTAGE SOURCES.
I FOUND V1 AND V2 BUT NOT CURRENTS IN EACH RESISTOR YET
GIVEN THAT:
R1 = 2 Ω
R2 = 2 Ω
R3 = 3 Ω
R4 = 6 Ω
R5 = 6 Ω
E1 = 2 VOLTS
E2 = 2 VOLTS
I FOUND THE EQUATIONS BY NODE ANALYSIS
EQUATION 1 IS (V1/R2)+(V1-E1/R1)+(V1-V2/R3)=0
WHICH IS AFTER SOLVING BY PUTTING VALUES
4V1-V2=3----------EQ:1
EQUATION 2 IS (V2/R4)+(V2-V1/R3)+(V2+E2/R5)=0
WHICH IS AFTER SOLVING BY PUTTING VALUES
V1-2V2=1------------EQ:2
AFTER SIMULTANEOUSLY SOLVING EQUATIONS
V1=5/7 VOLTS
V2=-1/7 VOLTS
NOW I WANT TO FIND CURRENTS IN EACH RESISTOR SO PLZ HELP ME OUT
BY FINDING CURRENTS IN ALL BRANCHES