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A student measures $V$ and $I$ for a conductor at constant temperature and finds that the ratio $V/I$ remains the same for all observations. What does this indicate?

AThe conductor obeys Ohm's law
BThe conductor has zero resistance
CThe current is independent of voltage
DThe battery emf is changing continuously
Answer & Solution
Correct answer: A. The conductor obeys Ohm's law
The underlying principle is that an ohmic conductor has a constant resistance at constant temperature, so $R = V/I$ remains constant. 1. If $V/I$ is the same for every reading, then the resistance does not change from one observation to another. 2. That means $V$ is directly proportional to $I$, which is exactly the condition expressed by Ohm's law. 3. Zero resistance would require $V=0$ for finite current, which is not implied here. 4. If current were independent of voltage, the ratio $V/I$ would not generally remain constant as $V$ changes. So the constant value of $V/I$ is evidence that the conductor obeys Ohm's law.
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