Differential Equation for Electronic Circuit

AI Thread Summary
The discussion focuses on the correct formulation of differential equations for an electronic circuit involving two currents, i1 and i2. The participants clarify the signs used in the loop equations, emphasizing the need to standardize voltage drops and rises. A specific error is identified regarding the plus sign in the first equation, which should be corrected to a minus. Additionally, it is suggested that when analyzing circuits with capacitors, using voltages as independent variables is preferable for deriving differential equations. The conversation highlights the importance of accuracy in circuit analysis for effective problem-solving.
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Am I starting this correctly: (look at pic)
 

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Why is it i1+i2 in the first loop equation and i2-i1 in the second? Both currents are defined clockwise in your circuit? Also, you need to standardize on whether you are adding up voltage drops or rises. You have a positive number for both Vo and i1R, even though one is a voltage rise, and the other is a voltage drop...
 
The only problem is the plus sign in the first equation, it should be a minus. Thanks
 

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You mean the only problem left is that first + sign? Have you fixed it since that new.PNG?
 
There we go.
 
Wherever you go, there you are. Quiz question -- what movie is that from?
 
When analyzing circuits with capacitors it is best to use voltages as independent variables, to get a differential instead of an integral equation.
 

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