Question

Ohm's law states that

• A. \( V \propto I \)
• B. \( V = I / R \)
• C. \( V \propto 1/R \)
• D. \( V = R / I \)

Hint:

Ohm's Law is valid only under constant physical conditions (like constant temperature).
The graph of \(V\) vs \(I\) for an ohmic conductor is always a straight line passing through the origin.

Answer 1

The Correct Option is A

Step 1: Understanding the Question:
The question asks for the fundamental mathematical relationship stated by Ohm's Law.

Step 2: Key Formula or Approach:
Ohm's law states that the current flowing through a conductor is directly proportional to the potential difference across its ends, provided temperature and other physical conditions remain constant.

Step 3: Detailed Explanation:

• Formally, Ohm's law states that:
\[ I \propto V \]

• This can also be written in terms of the potential difference (\(V\)) being directly proportional to the current (\(I\)):
\[ V \propto I \]

• To remove the proportionality sign, we introduce a constant of proportionality called resistance (\(R\)):
\[ V = I R \]

• Here, \(R\) is constant for a given conductor at a constant temperature.

• Looking at the options, Option (A) \(V \propto I\) represents the fundamental statement of Ohm's law.


Step 4: Final Answer:
Ohm's law states that \(V \propto I\).