Question

IR = V (solve for R)

Answer 1

Answer:

The solution of the equation is  $R = \frac{V}{i}$.

Step-by-step explanation:

The previous equations is for the Ohm's Law, which states that current ($i$), measured in amperes, is directly proportional to the voltage ($V$), measured in volts:

$V \propto i$

The complete formula is:

$I\cdot R = V$ (1)

Where $R$ is the electric resistance, measured in ohms.

Solving for $R$ means that we need to clear $R$ within the formula, a process that will be presented step-by-step:

1) $V = i\cdot R$ Given

2) $V\cdot i^{-1} = (i\cdot R)\cdot i^{-1}$ Compatibility with multiplication.

3) $V\cdot i^{-1} = R\cdot (i\cdot i^{-1})$ Commutative and associative properties.

4) $V\cdot i^{-1} = R\cdot 1$ Existence of multiplicative inverse.

5) $V\cdot i^{-1} = R$ Modulative property.

6) $R = \frac{V}{i}$ Definition of division/Symmetric property/Result

The solution of the equation is  $R = \frac{V}{i}$.