To solve for [tex]\( R \)[/tex] in the given formula [tex]\( E = I R \)[/tex], we need to isolate [tex]\( R \)[/tex] on one side of the equation.
Here is the step-by-step solution:
1. Start with the original equation:
[tex]\[
E = I R
\][/tex]
2. To isolate [tex]\( R \)[/tex], we need to divide both sides of the equation by [tex]\( I \)[/tex]:
[tex]\[
\frac{E}{I} = \frac{I R}{I}
\][/tex]
3. On the right-hand side, the [tex]\( I \)[/tex] terms cancel out, leaving us with:
[tex]\[
\frac{E}{I} = R
\][/tex]
Therefore, the formula for [tex]\( R \)[/tex] is:
[tex]\[
R = \frac{E}{I}
\][/tex]
Thus, the correct answer is:
C. [tex]\( R = \frac{E}{I} \)[/tex]