Question:
According to Ohm's law, the relation between the electric current $I$ and the potential difference $V$ across a conductor is
According to Ohm's law, the relation between the electric current $I$ and the potential difference $V$ across a conductor is
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Remembering the direct proportionality between voltage and current as stated by Ohm's law can help quickly identify the correct relationship in similar problems.
Updated On: May 31, 2026
- $V \propto I$
- $V \propto I^2$
- $V^2 \propto I$
- $V \propto 1/I$
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The Correct Option is A
Solution and Explanation
Step 1: Concept
Ohm's law states that the current flowing through a conductor between two points is directly proportional to the voltage across the two points, provided all physical conditions of the conductor remain unchanged. Mathematically, it can be expressed as $V = IR$, where $V$ is the potential difference (voltage), $I$ is the electric current, and $R$ is the resistance.
Step 2: Meaning
The proportionality constant in Ohm's law equation is the resistance of the conductor. This means that if we double the voltage across a resistor, the current will also double, assuming the resistance remains constant.
Step 3: Analysis
Let us analyze each option: A) $V \propto I$ - This statement suggests that the potential difference is directly proportional to the electric current. According to Ohm's law, this is correct because if we increase the current through a conductor with constant resistance, the voltage across it will also increase proportionally. B) $V \propto I^2$ - This option implies that the potential difference is proportional to the square of the electric current. This does not align with Ohm's law, which states a linear relationship between voltage and current. C) $V^2 \propto I$ - This suggests that the square of the potential difference is directly proportional to the electric current. This is not consistent with Ohm's law as it would imply a quadratic relationship rather than a linear one. D) $V \propto 1/I$ - This option indicates an inverse proportionality between voltage and current, which contradicts Ohm's law where voltage and current are directly proportional for a given resistance.
Step 4: Conclusion
The correct relation according to Ohm's law is that the potential difference across a conductor is directly proportional to the electric current flowing through it when the resistance remains constant. Therefore, option A is the correct answer. Final Answer: (A)
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