Question:easy
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: Jun 3, 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: State Ohm's law.
Ohm's law says the voltage across a conductor equals the current times its resistance. \[ V = IR \] as long as the conditions like temperature stay the same.
Step 2: See the link.
Here $R$ is a fixed number for a given conductor. So $V$ goes up in step with $I$. \[ V \propto I \]
Step 3: Test the idea.
If we double the current, the voltage also doubles, since $R$ does not change. This is a straight line relation.
Step 4: Rule out squared forms.
Choices with $I^2$ or $V^2$ would mean a curved relation, but Ohm's law is a simple straight proportion.
Step 5: Rule out the inverse.
A choice like $V \propto 1/I$ would mean more current gives less voltage, which is the opposite of Ohm's law.
Step 6: State the answer.
Voltage is directly proportional to current. \[ \boxed{V \propto I} \]
Ohm's law says the voltage across a conductor equals the current times its resistance. \[ V = IR \] as long as the conditions like temperature stay the same.
Step 2: See the link.
Here $R$ is a fixed number for a given conductor. So $V$ goes up in step with $I$. \[ V \propto I \]
Step 3: Test the idea.
If we double the current, the voltage also doubles, since $R$ does not change. This is a straight line relation.
Step 4: Rule out squared forms.
Choices with $I^2$ or $V^2$ would mean a curved relation, but Ohm's law is a simple straight proportion.
Step 5: Rule out the inverse.
A choice like $V \propto 1/I$ would mean more current gives less voltage, which is the opposite of Ohm's law.
Step 6: State the answer.
Voltage is directly proportional to current. \[ \boxed{V \propto I} \]
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