Answered

The voltage in a circuit is given by the equation [tex]V = I R[/tex]. In this equation, [tex]V[/tex] is the voltage, [tex]I[/tex] is the current, and [tex]R[/tex] is the resistance. Which answer shows this equation solved for current?

A. [tex]I = \frac{V}{R}[/tex]

B. [tex]I = V R[/tex]

C. [tex]I = \frac{R}{V}[/tex]

D. [tex]V = \frac{1}{R}[/tex]



Answer :

GinnyAnswer
To solve the given equation [tex]\( V = IR \)[/tex] for the current [tex]\( I \)[/tex], follow these steps:

1. Start with the given equation:
[tex]\[ V = IR \][/tex]

2. Our goal is to solve for [tex]\( I \)[/tex]. To isolate [tex]\( I \)[/tex], we need to get rid of the [tex]\( R \)[/tex] that is multiplied by [tex]\( I \)[/tex]. We can do this by dividing both sides of the equation by [tex]\( R \)[/tex]:
[tex]\[ \frac{V}{R} = \frac{IR}{R} \][/tex]

3. Simplify the right side:
[tex]\[ \frac{V}{R} = I \][/tex]

4. The final form of the equation shows that current [tex]\( I \)[/tex] is equal to voltage [tex]\( V \)[/tex] divided by resistance [tex]\( R \)[/tex]:
[tex]\[ I = \frac{V}{R} \][/tex]

Therefore, the correct answer is:
A. [tex]\( I = \frac{V}{R} \)[/tex]