Sure, let's solve the equation [tex]\( V = IR \)[/tex] for [tex]\( R \)[/tex].
Given the equation is:
[tex]\[ V = IR \][/tex]
To isolate [tex]\( R \)[/tex], we need to get [tex]\( R \)[/tex] on one side of the equation by itself. We do this by dividing both sides of the equation by [tex]\( I \)[/tex]:
[tex]\[ \frac{V}{I} = \frac{IR}{I} \][/tex]
Since [tex]\( I \)[/tex] divided by [tex]\( I \)[/tex] is 1, we simplify the right side:
[tex]\[ \frac{V}{I} = R \][/tex]
Therefore, the equation solved for [tex]\( R \)[/tex] is:
[tex]\[ R = \frac{V}{I} \][/tex]
Among the given options:
- [tex]\( R = V \)[/tex] is incorrect.
- [tex]\( R = I N \)[/tex] is incorrect.
- [tex]\( R = V / 1 \)[/tex] is incorrect.
- [tex]\( R = V + 1 \)[/tex] is incorrect.
The correct solution is:
[tex]\[ R = \frac{V}{I} \][/tex]