Question

Which of the following relation represents Ohm's law?

• A. \(V∝I\)
• B. \(V∝\frac 1I\)
• C. \(V=I\)
• D. \(P=VI\)

Answer 1

The Correct Option is A

To solve the problem, we need to identify the equation that represents Ohm's law.

1. Understanding Ohm's Law:
Ohm's law states that the voltage \( V \) across a resistor is directly proportional to the current \( I \) flowing through it, provided the temperature remains constant. The relationship is given by:
\[ V = IR \] where \( V \) is the voltage, \( I \) is the current, and \( R \) is the resistance.

2. Analyzing the Given Options:
- Option (1): \( V \propto I \) — This represents the correct relationship according to Ohm's law, as voltage is proportional to current at constant resistance.
Option (2): \( V \propto \frac{1}{I} \) — This is incorrect, as it suggests an inverse relationship, which is not how voltage and current behave in Ohm's law.
Option (3): \( V = I \) — This is not correct unless the resistance \( R = 1 \), but it does not fully represent Ohm's law.
Option (4): \( P = VI \) — This represents the power formula, not Ohm's law.

Final Answer:
The correct relation that represents Ohm's law is (1) \( V \propto I \).