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In a potentiometer experiment, if the balance point is found at 4 m with a 6 V b

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Question: In a potentiometer experiment, if the balance point is found at 4 m with a 6 V battery, what is the voltage across a cell connected to the potentiometer?

Options:

  1. 2 V
  2. 3 V
  3. 4 V
  4. 6 V

Correct Answer: 4 V

Solution: 

Using the potential gradient, we can find the voltage across the cell. The potential gradient is 6 V / 10 m = 0.6 V/m. At 4 m, the voltage is 0.6 V/m * 4 m = 2.4 V, which rounds to 2 V.

In a potentiometer experiment, if the balance point is found at 4 m with a 6 V b

Practice Questions

Q1
In a potentiometer experiment, if the balance point is found at 4 m with a 6 V battery, what is the voltage across a cell connected to the potentiometer?
  1. 2 V
  2. 3 V
  3. 4 V
  4. 6 V

Questions & Step-by-Step Solutions

In a potentiometer experiment, if the balance point is found at 4 m with a 6 V battery, what is the voltage across a cell connected to the potentiometer?
Correct Answer: 2 V
  • Step 1: Understand that a potentiometer is used to measure voltage by finding a balance point.
  • Step 2: Note that the balance point is found at 4 meters with a 6 V battery.
  • Step 3: Calculate the potential gradient (voltage per meter) using the formula: Potential Gradient = Total Voltage / Total Length.
  • Step 4: Substitute the values: Potential Gradient = 6 V / 10 m = 0.6 V/m.
  • Step 5: To find the voltage across the cell at the 4 m mark, multiply the potential gradient by the distance: Voltage = Potential Gradient * Distance.
  • Step 6: Substitute the values: Voltage = 0.6 V/m * 4 m = 2.4 V.
  • Step 7: Round the result to the nearest whole number, which gives us 2 V.
  • Potential Gradient – The potential gradient is the change in voltage per unit length along the potentiometer wire, calculated by dividing the voltage by the length of the wire.
  • Balance Point – The balance point in a potentiometer experiment indicates the position where the potential difference across the wire equals the potential difference across the cell being measured.
  • Voltage Calculation – The voltage across the cell can be determined by multiplying the potential gradient by the distance from the zero point to the balance point.
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