In the equation E = I x R, how is R calculated?

In the equation E = I x R, how is R calculated?

• A. E x I
• B. I / E
• C. (E / I)²
• D. E / I

Answer: (D)

In the equation \( E = I \times R \), \( R \) represents resistance, \( E \) is the voltage (or electromotive force), and \( I \) is the current flowing through the circuit. To isolate and calculate \( R \), you can rearrange the equation to solve for resistance. By dividing both sides of the original equation by \( I \), you derive the following: \[ R = \frac{E}{I} \] This formula indicates that resistance is equal to the voltage divided by the current. Thus, when you know the values of voltage and current in a circuit, you can calculate the resistance using this specific relationship. Other methods for calculating \( R \) presented in the other options would not correctly rearrange the original formula or are not mathematically valid within the context of Ohm's Law.

In the equation ( E = I \times R ), ( R ) represents resistance, ( E ) is the voltage (or electromotive force), and ( I ) is the current flowing through the circuit. To isolate and calculate ( R ), you can rearrange the equation to solve for resistance.

By dividing both sides of the original equation by ( I ), you derive the following:

[ R = \frac{E}{I} ]

This formula indicates that resistance is equal to the voltage divided by the current. Thus, when you know the values of voltage and current in a circuit, you can calculate the resistance using this specific relationship.

Other methods for calculating ( R ) presented in the other options would not correctly rearrange the original formula or are not mathematically valid within the context of Ohm's Law.