So the new equation for V1 is:V1=\frac{-Vo}{Rf/R1}+V2

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In summary, the Differential Mode Equation is a mathematical expression used in analyzing and designing linear electronic systems. It differs from the Common Mode Equation by only considering the difference between input signals. It has various applications in fields such as electrical engineering and signal processing, and is derived from circuit laws and the concept of superposition. The equation makes assumptions of linearity, time-invariance, and ideal components for simplified analysis.
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sgillon
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Hi, I was wondering how you would re-arrange the differntial mode equation :
Vo=(V2-V1)*(Rf/R1)
to have V1 as the subject of the formula - its been annoying me for ages.

thanks
 
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Well...first of all, divide by Rf/R1
[tex]\frac{Vo}{Rf/R1}=V2-V1[/tex] THen we just subtract V2 and multiply by -1:
[tex]\frac{Vo}{Rf/R1}-V2=-V1[/tex]
[tex]V1=\frac{-Vo}{Rf/R1}+V2[/tex]
 

Related to So the new equation for V1 is:V1=\frac{-Vo}{Rf/R1}+V2

What is the "Differential Mode Equation"?

The Differential Mode Equation is a mathematical expression that describes the relationship between the input and output signals of a linear electronic system. It is commonly used in circuit analysis and design.

How is the Differential Mode Equation different from the Common Mode Equation?

The Differential Mode Equation only considers the difference between the two input signals, while the Common Mode Equation considers the sum of the two input signals. This difference is important in understanding the behavior of electronic systems, especially in the presence of noise.

What are the applications of the Differential Mode Equation?

The Differential Mode Equation is used in a variety of fields, including electrical engineering, physics, and signal processing. It is particularly useful in analyzing and designing electronic circuits, filters, and amplifiers.

How is the Differential Mode Equation derived?

The Differential Mode Equation is derived from a combination of circuit laws, such as Kirchhoff's laws and Ohm's law. It can also be derived from the concept of superposition, which states that the total response of a system is equal to the sum of its individual responses.

What are the assumptions made in the Differential Mode Equation?

The Differential Mode Equation assumes that the system is linear, time-invariant, and has zero initial conditions. It also assumes that the components in the system are ideal, meaning they have no resistance, capacitance, or inductance. These assumptions allow for a simplified analysis of the system's behavior.

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