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What is the relationship between potential difference and current for an ohmic conductor at a constant temperature?

Question

What is the relationship between potential difference and current for an ohmic conductor at a constant temperature?

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Solution

The relationship between potential difference and current for an ohmic conductor at a constant temperature is described by Ohm's Law.

Step 1: Understanding Ohm's Law Ohm's Law states that the current through a conductor between two points is directly proportional to the voltage across the two points. This means that if you increase the voltage, the current will also increase.

Step 2: The Formula The formula for Ohm's Law is I = V/R, where I is the current, V is the voltage (or potential difference), and R is the resistance.

Step 3: Applying the Law to an Ohmic Conductor An ohmic conductor is a conductor that obeys Ohm's Law. This means that the current flowing through the conductor is directly proportional to the potential difference across it, provided the temperature remains constant.

Step 4: The Effect of Temperature The relationship between potential difference and current only holds true for a constant temperature. If the temperature of the conductor changes, the resistance can change, which would affect the current.

So, in summary, for an ohmic conductor at a constant temperature, the potential difference and current are directly proportional. If you increase the potential difference, the current will also increase, and vice versa.

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