Collect the coefficients of a symbolic expression for an Op Amp circuit function

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NGiannis
NGiannis 2023-7-29
评论： Star Strider 2023-7-30
Hello,
I have writen function for Op Amp Sallen-Key Circuit. All values including the 's' are used as symbolic expresion.
I would need to rearange the variables in order to have on the left side the V2/V1. I have been trying to use solve(V2,V1) but are not rearanged.
On the right side I would need the denominator to be on the form of . I have been trying with factor(G) but it gives denominator on the form of .
Is there any way to achieve the above.
Giannis

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Dyuman Joshi
Dyuman Joshi 2023-7-29
Ran in:
syms A Ga Gb G1 G2 C2 V1 V2 s
%Defining expression
expr = V2 == A*((G1*G2*V1 + C2*G2*V2*s)/(C2^2*s^2+G1*G2 + C2*G1*s + 2*C2*G2*s) - Gb*V2/(Ga+Gb))
expr = 
%Isolating V2 to LHS
expr = isolate(expr,V2)
expr = 
%Assuming that V2/V1 can isolated from the expression
%Dividing both sides of the expression by V1 to obtain V2/V1 on the left side
expr = expr/V1
expr = 
If you want to simplify the RHS, this approach works good enough -
%Get numerator and denominator of RHS in a rational form
[n,d] = numden(rhs(expr))
n = 
d = 
%Redefine the expression
expr = lhs(expr) == n/d
expr = 
If you want the coefficient of s^2 in the denominator to be 1, get its coefficient by using coeffs and divide d by the coefficient.
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