17. Which of the following is Ohm's Law?

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



Answer :

Sure, let's examine each given option to identify which one corresponds to Ohm's Law. Ohm's Law describes the relationship between voltage ([tex]\(V\)[/tex]), current ([tex]\(I\)[/tex]), and resistance ([tex]\(R\)[/tex]). The correct formula for Ohm's Law is:

[tex]\[ V = I \times R \][/tex]

Let's analyze each option against this formula:

1. [tex]\( V = \frac{I}{R} \)[/tex]

This formula states that voltage is equal to current divided by resistance, which is not correct. According to Ohm's Law, voltage equals current times resistance.

2. [tex]\( V = \frac{R}{I} \)[/tex]

This formula states that voltage is equal to resistance divided by current, which is also incorrect. Again, Ohm's Law specifies that voltage is the product of current and resistance.

3. [tex]\( R = 1 \times R \)[/tex]

This formula states that resistance equals one times resistance, which is a tautology and not related to Ohm's Law.

4. [tex]\( I = \frac{V}{R} \)[/tex]

This formula states that current is equal to voltage divided by resistance. If we rearrange Ohm's Law ([tex]\( V = I \times R \)[/tex]) to solve for current ([tex]\( I \)[/tex]), we get:

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

This matches the given formula in option 4.

Therefore, the option that correctly states Ohm's Law is:

[tex]\[ \boxed{4} \][/tex]