How Do You Solve a Circuit with a Voltage Dependent Current Source?

[morrison.344]

Voltage dependent current source? Please help

Homework Statement

Attached the problem.

Homework Equations

??

The Attempt at a Solution

Tried to Use KCL, not sure what else to do.

 

[berkeman]

Homework Statement

Attached the problem.

Homework Equations

??

The Attempt at a Solution

Tried to Use KCL, not sure what else to do.

Welcome to the PF. Show us your work so far. Show us your KCL equations.

 

[morrison.344]

I tried KCL at Va: (Vs-Va)/Rs+(Vb-Va)/100000+(Vx-Va)/2500=0
and KCL at Vb: (VL-VB)/1000-.05Vx+(Va-Vb)/100000=0,
So i have 2 equations and 4 variables assuming my work so far is correct, I am not positive on the sign conventions. Should I be using KVL, or Mesh analysis instead or in addition?

 

[berkeman]

I tried KCL at Va: (Vs-Va)/Rs+(Vb-Va)/100000+(Vx-Va)/2500=0
and KCL at Vb: (VL-VB)/1000-.05Vx+(Va-Vb)/100000=0,
So i have 2 equations and 4 variables assuming my work so far is correct, I am not positive on the sign conventions. Should I be using KVL, or Mesh analysis instead or in addition?

KCL should work fine. Look at the circuit again, and see that Va = Vx, and Vb = VL.

Also, be careful with your sign conventions -- either sum the currents leaving a node or going into it. I believe you were mixing signs in the first line (but the fact that Va = Vx kind of muddies that sign error anyway). I personally prefer to sum the currents leaving each node, but that's just me.