To solve the equation [tex]\( V = I \cdot R \)[/tex] for the current ([tex]\( I \)[/tex]), we need to isolate [tex]\( I \)[/tex] on one side of the equation. Here are the detailed steps:
1. Original Equation:
[tex]\( V = I \cdot R \)[/tex]
2. Isolate [tex]\( I \)[/tex]:
To isolate [tex]\( I \)[/tex], we need to get [tex]\( I \)[/tex] by itself on one side of the equation. We can do this by dividing both sides of the equation by the resistance ([tex]\( R \)[/tex]):
[tex]\[
\frac{V}{R} = \frac{I \cdot R}{R}
\][/tex]
3. Simplify:
On the right side of the equation, the [tex]\( R \)[/tex] in the numerator and the [tex]\( R \)[/tex] in the denominator cancel each other out. This leaves us with:
[tex]\[
\frac{V}{R} = I
\][/tex]
4. Rearrange the Equation:
Now, we can write the simplified equation where [tex]\( I \)[/tex] is isolated:
[tex]\[
I = \frac{V}{R}
\][/tex]
Therefore, the correct answer is:
A. [tex]\( I = \frac{V}{R} \)[/tex]
