Solve for C (complex solution)
\left\{\begin{matrix}C=\frac{I}{2\pi Uf}\text{, }&U\neq 0\text{ and }f\neq 0\\C\in \mathrm{C}\text{, }&\left(f=0\text{ or }U=0\right)\text{ and }I=0\end{matrix}\right.
Solve for C
\left\{\begin{matrix}C=\frac{I}{2\pi Uf}\text{, }&U\neq 0\text{ and }f\neq 0\\C\in \mathrm{R}\text{, }&\left(f=0\text{ or }U=0\right)\text{ and }I=0\end{matrix}\right.
Solve for I
I=2\pi CUf
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2\pi fCU=I
Swap sides so that all variable terms are on the left hand side.
2\pi UfC=I
The equation is in standard form.
\frac{2\pi UfC}{2\pi Uf}=\frac{I}{2\pi Uf}
Divide both sides by 2\pi fU.
C=\frac{I}{2\pi Uf}
Dividing by 2\pi fU undoes the multiplication by 2\pi fU.
2\pi fCU=I
Swap sides so that all variable terms are on the left hand side.
2\pi UfC=I
The equation is in standard form.
\frac{2\pi UfC}{2\pi Uf}=\frac{I}{2\pi Uf}
Divide both sides by 2\pi fU.
C=\frac{I}{2\pi Uf}
Dividing by 2\pi fU undoes the multiplication by 2\pi fU.
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