Answer :
Ohm's Law is a fundamental principle in electronics and electrical engineering that explains the relationship between voltage (V), current (I), and resistance (R). The correct statement of Ohm's Law is:
[tex]\[ V = I \cdot R \][/tex]
To find which of the given options is equivalent to [tex]\(V = I \cdot R\)[/tex], let's analyze each one step-by-step:
A. [tex]\( V = \frac{I}{R} \)[/tex]
- This equation suggests that voltage is equal to current divided by resistance, which is not consistent with Ohm's Law.
B. [tex]\( R = \frac{I}{V} \)[/tex]
- This equation suggests that resistance is equal to current divided by voltage, which is not consistent with Ohm's Law.
C. [tex]\( R = \frac{V}{I} \)[/tex]
- This equation can be derived from Ohm's Law ([tex]\( V = I \cdot R \)[/tex]) by rearranging it: [tex]\( R = \frac{V}{I} \)[/tex]. This is indeed a correct representation of the relationship between voltage, current, and resistance.
D. [tex]\( R = V \cdot I \)[/tex]
- This equation suggests that resistance is equal to voltage multiplied by current, which is not consistent with Ohm's Law.
Based on the analysis, the correct statement of Ohm's Law among the provided options is:
[tex]\[ \boxed{R = \frac{V}{I}} \][/tex]
[tex]\[ V = I \cdot R \][/tex]
To find which of the given options is equivalent to [tex]\(V = I \cdot R\)[/tex], let's analyze each one step-by-step:
A. [tex]\( V = \frac{I}{R} \)[/tex]
- This equation suggests that voltage is equal to current divided by resistance, which is not consistent with Ohm's Law.
B. [tex]\( R = \frac{I}{V} \)[/tex]
- This equation suggests that resistance is equal to current divided by voltage, which is not consistent with Ohm's Law.
C. [tex]\( R = \frac{V}{I} \)[/tex]
- This equation can be derived from Ohm's Law ([tex]\( V = I \cdot R \)[/tex]) by rearranging it: [tex]\( R = \frac{V}{I} \)[/tex]. This is indeed a correct representation of the relationship between voltage, current, and resistance.
D. [tex]\( R = V \cdot I \)[/tex]
- This equation suggests that resistance is equal to voltage multiplied by current, which is not consistent with Ohm's Law.
Based on the analysis, the correct statement of Ohm's Law among the provided options is:
[tex]\[ \boxed{R = \frac{V}{I}} \][/tex]
