How Do You Solve Nodal Analysis Equations with Multiple Resistors?

[bengaltiger14]

Need help with Simulatneous Equation...

Homework Statement

I have a circuit involving nodal analysis. I have the correct nodal equation just need help solving it.

v1(1/r1 + 1/r2 + 1/r3) - 10v(1/r1) - v2(1/r3) = 0

v2(1/r3 + 1/r4) - v1(1/r3) = 2A

V2 and V1 are my two unknowns. I don't want the answer just a start would be helpful.

 

[PFStudent]

Hey,

Two equations, two unkowns.
Treat the equations as a system of two equations with two variables.
That should remind you about how you learned to solve systems of equations in algebra, recall that procedure and apply.

Thanks,

-PFStudent

 

[D H]

Use one of the equations to express v2 in terms of v1 (or vice-versa). Now replace the v2 in the other equation with this expression. This will yield an equation for v1 alone. Solve for v1, and finally solve for v2 using the equation for v2 in terms of v1.

 

[bengaltiger14]

if r1=10, r2=50,r3=20,r4=100

Should I get v2:(2A+v1(.05))/.06 for equation 2?