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In a potentiometer experiment, if the null point is found at 75cm with a known e

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Question: In a potentiometer experiment, if the null point is found at 75cm with a known emf of 1.5V, what is the potential gradient if the total length of the wire is 150cm?

Options:

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

Correct Answer: 2 V/m

Solution: 

The potential gradient is V/L = 1.5V/0.75m = 2 V/m.

In a potentiometer experiment, if the null point is found at 75cm with a known e

Practice Questions

Q1
In a potentiometer experiment, if the null point is found at 75cm with a known emf of 1.5V, what is the potential gradient if the total length of the wire is 150cm?
  1. 1 V/m
  2. 2 V/m
  3. 3 V/m
  4. 4 V/m

Questions & Step-by-Step Solutions

In a potentiometer experiment, if the null point is found at 75cm with a known emf of 1.5V, what is the potential gradient if the total length of the wire is 150cm?
  • Step 1: Understand that the null point in a potentiometer experiment indicates where the potential difference is equal to the emf being measured.
  • Step 2: Note the given values: the null point is at 75 cm and the known emf is 1.5V.
  • Step 3: Convert the null point from centimeters to meters: 75 cm = 0.75 m.
  • Step 4: The total length of the wire is given as 150 cm, which is equal to 1.5 m.
  • Step 5: Calculate the potential gradient using the formula: Potential Gradient = V / L, where V is the emf and L is the length of the wire up to the null point.
  • Step 6: Substitute the values into the formula: Potential Gradient = 1.5V / 0.75m.
  • Step 7: Perform the division: 1.5V / 0.75m = 2 V/m.
  • Step 8: Conclude that the potential gradient is 2 V/m.
  • Potential Gradient – The potential gradient is the change in electric potential (voltage) per unit length of the wire, calculated as the voltage divided by the length over which it is measured.
  • Potentiometer Principle – A potentiometer is an instrument used to measure the emf of a cell by balancing it against a known voltage, allowing for precise measurements of potential differences.
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