Write the desired equivalent equation, and identify properties used to do so.
Then solve.
Ohm's law of electricity states that V = IR, where V = voltage, I = current, and R = resistance. Rewrite the equation for R.
V/I = R
To rewrite the equation for R, we need to isolate the variable R on one side of the equation.
Starting with the equation V = IR, we can rearrange it to solve for R as follows:
Divide both sides of the equation by I:
V/I = (IR)/I
Simplifying the right side of the equation:
V/I = R(I/I)
Since I/I simplifies to 1, the equation becomes:
V/I = R
So, the equivalent equation is R = V/I, where R represents resistance, V represents voltage, and I represents current.
Properties used:
- Division property of equality: We divided both sides of the equation by I to isolate R.