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.

 

[DeeNos]

A voltage dependent current source is a type of electronic component that produces a current output based on the voltage input. This means that the current output is not constant, but rather varies with changes in the input voltage. In order to solve a problem involving a voltage dependent current source, you will need to use Kirchhoff's Current Law (KCL) to analyze the circuit. KCL states that the sum of currents entering a node must equal the sum of currents leaving that node. By setting up equations using KCL and solving for the unknowns, you can determine the current output of the voltage dependent current source. If you are having trouble, it may be helpful to draw a circuit diagram and label all the known values, as well as any variables that need to be solved for. Additionally, you can consult your textbook or seek assistance from a classmate or instructor.