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In a potentiometer experiment, if the balancing length is found to be 50 cm for

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Question: In a potentiometer experiment, if the balancing length is found to be 50 cm for a cell of emf 1.5V, what is the potential gradient if the total length of the wire is 100 cm?

Options:

  1. 3 V/m
  2. 1.5 V/m
  3. 0.5 V/m
  4. 2 V/m

Correct Answer: 1.5 V/m

Solution: 

The potential gradient is V/L = 1.5V/0.5m = 3 V/m.

In a potentiometer experiment, if the balancing length is found to be 50 cm for

Practice Questions

Q1
In a potentiometer experiment, if the balancing length is found to be 50 cm for a cell of emf 1.5V, what is the potential gradient if the total length of the wire is 100 cm?
  1. 3 V/m
  2. 1.5 V/m
  3. 0.5 V/m
  4. 2 V/m

Questions & Step-by-Step Solutions

In a potentiometer experiment, if the balancing length is found to be 50 cm for a cell of emf 1.5V, what is the potential gradient if the total length of the wire is 100 cm?
  • Step 1: Understand that the balancing length is the length of the wire where the voltage is equal to the emf of the cell.
  • Step 2: Note that the balancing length given is 50 cm, which is equal to 0.5 meters.
  • Step 3: The emf of the cell is given as 1.5V.
  • Step 4: The total length of the wire is 100 cm, which is equal to 1 meter.
  • Step 5: Calculate the potential gradient using the formula: Potential Gradient = Voltage / Length of wire.
  • Step 6: Substitute the values into the formula: Potential Gradient = 1.5V / 0.5m.
  • Step 7: Perform the division: 1.5V / 0.5m = 3 V/m.
  • Step 8: Conclude that the potential gradient is 3 V/m.
  • Potential Gradient – The potential gradient is the change in electric potential (voltage) per unit length of the wire, calculated as the emf divided by the balancing length.
  • Balancing Length – The balancing length in a potentiometer experiment is the length of the wire over which the potential difference equals the emf of the cell being measured.
  • Proportionality in Potentiometer – The relationship between the emf of the cell and the balancing length is directly proportional to the potential gradient.
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