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A potentiometer wire has a length of 10 m and a potential difference of 5 V acro

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Question: A potentiometer wire has a length of 10 m and a potential difference of 5 V across it. What is the potential gradient?

Options:

  1. 0.5 V/m
  2. 1 V/m
  3. 2 V/m
  4. 5 V/m

Correct Answer: 0.5 V/m

Solution: 

The potential gradient is calculated as the potential difference divided by the length of the wire: 5 V / 10 m = 0.5 V/m.

A potentiometer wire has a length of 10 m and a potential difference of 5 V acro

Practice Questions

Q1
A potentiometer wire has a length of 10 m and a potential difference of 5 V across it. What is the potential gradient?
  1. 0.5 V/m
  2. 1 V/m
  3. 2 V/m
  4. 5 V/m

Questions & Step-by-Step Solutions

A potentiometer wire has a length of 10 m and a potential difference of 5 V across it. What is the potential gradient?
Correct Answer: 0.5 V/m
  • Step 1: Identify the total length of the potentiometer wire, which is 10 meters.
  • Step 2: Identify the potential difference across the wire, which is 5 volts.
  • Step 3: Use the formula for potential gradient, which is: Potential Gradient = Potential Difference / Length.
  • Step 4: Substitute the values into the formula: Potential Gradient = 5 V / 10 m.
  • Step 5: Calculate the result: 5 V divided by 10 m equals 0.5 V/m.
  • Potential Gradient – The rate of change of electric potential (voltage) per unit length along a conductor.
  • Ohm's Law – The relationship between voltage, current, and resistance, which underlies the concept of potential gradient.
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