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A potentiometer wire has a uniform cross-section and a potential difference of 1

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Question: A potentiometer wire has a uniform cross-section and a potential difference of 12V across it. If the length of the wire is 6m, what is the potential gradient?

Options:

  1. 2 V/m
  2. 4 V/m
  3. 6 V/m
  4. 8 V/m

Correct Answer: 4 V/m

Solution: 

Potential gradient = Voltage / Length = 12V / 6m = 2 V/m.

A potentiometer wire has a uniform cross-section and a potential difference of 1

Practice Questions

Q1
A potentiometer wire has a uniform cross-section and a potential difference of 12V across it. If the length of the wire is 6m, what is the potential gradient?
  1. 2 V/m
  2. 4 V/m
  3. 6 V/m
  4. 8 V/m

Questions & Step-by-Step Solutions

A potentiometer wire has a uniform cross-section and a potential difference of 12V across it. If the length of the wire is 6m, what is the potential gradient?
  • Step 1: Identify the total voltage across the potentiometer wire, which is given as 12V.
  • Step 2: Identify the length of the wire, which is given as 6m.
  • Step 3: Use the formula for potential gradient, which is Potential Gradient = Voltage / Length.
  • Step 4: Substitute the values into the formula: Potential Gradient = 12V / 6m.
  • Step 5: Calculate the result: 12V divided by 6m equals 2 V/m.
  • Potential Gradient – The potential gradient is the change in electric potential (voltage) per unit length of a conductor, indicating how voltage varies along the length of the wire.
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