# Question:How do I rearrange assignment to solve for a variable on the RHS of the equation?

## Question:How do I rearrange assignment to solve for a variable on the RHS of the equation?

Maple 2019

I have an assignment for Q that after subsequent other assignments and substitutions  results in

-XC1*R1^2/((R1^2 + XC1^2)*(R1*XC1^2/(R1^2 + XC1^2) + 12960.54302))

when I type Q.

I would like to solve this for XC1, for values of Q that make  XC1 is real.

How do I do this?  Can I rearrange this assignment?

I guess I could do something like this:

eq1:= -XC1*R1^2/((R1^2 + XC1^2)*(R1*XC1^2/(R1^2 + XC1^2) + 12960.54302))

solve(eq1=Q,XC1)

but Q as a function of XC1 is a derived from other relationships.

The worksheet probably makes what I'm asking more clear.    I was able to get the result, but I'm sure there is a better, more elegant  way to do what I needed to do...

Thanks

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Series-Parallel Conversion Equations as a function of Q

 • Q = Xs/Rs = Rp/Xp;
 • Rp := Rs*(Q^2 + 1);

Impedance Transpormation Equations

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