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Solve [tex]V = IR[/tex] for [tex]R[/tex].

A. [tex]R = V[/tex]
B. [tex]R = IN[/tex]
C. [tex]R = \frac{V}{I}[/tex]
D. [tex]R = V + 1[/tex]


Sagot :

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]
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