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A potentiometer wire has a uniform cross-section and a length of 10 m. If a pote

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Question: A potentiometer wire has a uniform cross-section and a length of 10 m. If a potential difference of 5 V is applied, 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: 1 V/m

Solution: 

The potential gradient is calculated as V/L = 5 V / 10 m = 0.5 V/m.

A potentiometer wire has a uniform cross-section and a length of 10 m. If a pote

Practice Questions

Q1
A potentiometer wire has a uniform cross-section and a length of 10 m. If a potential difference of 5 V is applied, 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 uniform cross-section and a length of 10 m. If a potential difference of 5 V is applied, what is the potential gradient?
Correct Answer: 0.5 V/m
  • Step 1: Identify the total potential difference (V) applied across the potentiometer wire. In this case, V = 5 V.
  • Step 2: Identify the length (L) of the potentiometer wire. Here, L = 10 m.
  • Step 3: Use the formula for potential gradient, which is given by the formula: Potential Gradient = V / L.
  • Step 4: Substitute the values into the formula: Potential Gradient = 5 V / 10 m.
  • Step 5: Perform the division: 5 V divided by 10 m equals 0.5 V/m.
  • Step 6: Conclude that the potential gradient is 0.5 V/m.
  • Potential Gradient – The potential gradient is the change in electric potential (voltage) per unit length of the conductor.
  • Ohm's Law – Understanding the relationship between voltage, current, and resistance, although not directly applied here.
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