Solve KVL and KCL for V0: Find Voltage Using Kirchhoff's Laws

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Homework Help Overview

The discussion revolves around applying Kirchhoff's voltage and current laws to determine the voltage V0 in a given circuit. Participants are analyzing a circuit diagram and sharing their equations and calculations related to KVL and KCL.

Discussion Character

  • Exploratory, Mathematical reasoning, Problem interpretation

Approaches and Questions Raised

  • Participants discuss the necessity of KVL loops and the sufficiency of equations derived from KCL. There are attempts to substitute variables in equations and solve for currents based on the circuit analysis.

Discussion Status

Some participants have provided equations and calculations, while others are questioning the accuracy of the results. There is an ongoing exploration of the relationships between the currents and the potential need for recalculating based on significant figures.

Contextual Notes

There is mention of a circuit diagram that may be relevant for understanding the problem fully, and a note about the current flowing through one of the components being negative, indicating a potential oversight in the original setup.

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Homework Statement



Use Kirchhoff's voltage and current laws to find the voltage V0

Homework Equations



KVL: ƩV=0
KCL: iin=iout

The Attempt at a Solution



http://s2.postimg.org/6b2013cbt/001.jpg

If you guys want the original circuit diagram, i'll post it.
Note: The current flowing through i2 is -0.2mA. Forgot to put the minus sign.
 
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You only need enough KVL loops to "touch" each component once. Any additional loops will just be dependent upon the one's you've already written. So you can stop with the first two loops equations that you wrote (I and II). That plus your KCL equation are sufficient.

Replace VA in equation II with i1*4k. Solve for i3.
 
I did the following:
KCL at a: i1-i2-i3=0
KVL at I: 4ki1+6ki2=6
KVL at II: 16ki1-6ki2+12ki3=0 (VA=4ki1, 4VA=16ki1)
The answers i got:
i1=0.45mA
i2=0.7mA
i3=-0.2mA
 
I'm seeing -(1/4) mA for i3. Maybe check your math?
 
Maybe yeah. The calculator is showing only one significant digit.
 
Last edited:

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