How Do You Calculate Current and Power in a Circuit with a Dependent Source?

[jbirse]

Homework Statement

In the circuit above, use R1 = 4Ω, R2 = 3Ω, V0 = 10V, and k = 1/5
Find the value of ix
Find the power delivered by the dependent source

2. The attempt at a solution
So what I assumed was that Ix+kIa=Ia so k=1/5 so Ix=(4/5)Ia then the equation for Ix would be
Ix + 4Ix - 3Ix + 10=0 which solves Ix=2 A, the correct answer is 1.25 A but I can't get that.
Once I get Ix I can solve for the power by using
kIa/4 + V/4 + V/3 +10/3 = 0 then -V*kIa=the power

Can someone please help

 

[KataKoniK]

me understand where I went wrong in my calculations?



After reviewing your calculations, it seems that you have made a small error in your equation for Ix. The correct equation should be Ix + 4Ix - 3Ix = 10, which solves for Ix = 1.25 A. This is the correct answer that you were looking for.

To find the power delivered by the dependent source, you can use the equation P = V*k*Ia, where V is the voltage across the dependent source and Ia is the current through it. Since V = 10V and Ia = 1.25A, the power delivered by the dependent source is 12.5 W.

I hope this helps clarify any confusion and good luck with your future calculations.