In a potentiometer circuit, if the length of the wire is doubled, what happens t

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Question: In a potentiometer circuit, if the length of the wire is doubled, what happens to the potential difference across the wire?

Options:

Correct Answer: It doubles.

Solution:

Doubling the length of the wire doubles the potential difference across it, as the potential gradient remains constant.

In a potentiometer circuit, if the length of the wire is doubled, what happens to the potential difference across the wire?

In a potentiometer circuit, if the length of the wire is doubled, what happens to the potential difference across the wire?

Correct Answer: Potential difference doubles.

Step 1: Understand that a potentiometer is a device that measures voltage by using a wire.
Step 2: Know that the potential difference (voltage) across the wire is related to its length.
Step 3: Realize that the potential gradient (voltage per unit length) remains constant when the wire is uniform.
Step 4: If you double the length of the wire, you also double the total potential difference across it.
Step 5: Conclude that doubling the length of the wire results in doubling the potential difference.

Potential Gradient – The potential gradient in a potentiometer is the ratio of potential difference to the length of the wire, which remains constant if the conditions are unchanged.
Ohm's Law – Understanding that the potential difference across a conductor is directly proportional to its length when the resistance per unit length is constant.