How can you express R in terms of E and I based on the equation I = E / R?

The equation given is I = E / R, which expresses the relationship between current (I), voltage (E), and resistance (R) following Ohm's Law. To express resistance (R) in terms of voltage (E) and current (I), you need to rearrange the equation.

Start from the equation:

I = E / R

To isolate R, you can multiply both sides by R and then divide both sides by I. This will allow you to move R to one side:

I * R = E

Now, rearranging this gives us:

R = E / I

This formula accurately relates resistance to voltage and current, confirming that resistance is equal to the voltage divided by the current. This means when you have a known voltage and current in a circuit, you can easily calculate the resistance using this relationship.

The other options don't accurately represent the relationship defined by Ohm's Law. Hence, the equation R = E / I is the correct expression for resistance in terms of voltage and current.