Solve for I (complex solution)
\left\{\begin{matrix}I=\frac{v}{R}\text{, }&R\neq 0\\I\in \mathrm{C}\text{, }&v=0\text{ and }R=0\end{matrix}\right.
Solve for R (complex solution)
\left\{\begin{matrix}R=\frac{v}{I}\text{, }&I\neq 0\\R\in \mathrm{C}\text{, }&v=0\text{ and }I=0\end{matrix}\right.
Solve for I
\left\{\begin{matrix}I=\frac{v}{R}\text{, }&R\neq 0\\I\in \mathrm{R}\text{, }&v=0\text{ and }R=0\end{matrix}\right.
Solve for R
\left\{\begin{matrix}R=\frac{v}{I}\text{, }&I\neq 0\\R\in \mathrm{R}\text{, }&v=0\text{ and }I=0\end{matrix}\right.
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RI=v
Swap sides so that all variable terms are on the left hand side.
\frac{RI}{R}=\frac{v}{R}
Divide both sides by R.
I=\frac{v}{R}
Dividing by R undoes the multiplication by R.
RI=v
Swap sides so that all variable terms are on the left hand side.
IR=v
The equation is in standard form.
\frac{IR}{I}=\frac{v}{I}
Divide both sides by I.
R=\frac{v}{I}
Dividing by I undoes the multiplication by I.
RI=v
Swap sides so that all variable terms are on the left hand side.
\frac{RI}{R}=\frac{v}{R}
Divide both sides by R.
I=\frac{v}{R}
Dividing by R undoes the multiplication by R.
RI=v
Swap sides so that all variable terms are on the left hand side.
IR=v
The equation is in standard form.
\frac{IR}{I}=\frac{v}{I}
Divide both sides by I.
R=\frac{v}{I}
Dividing by I undoes the multiplication by I.
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