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If the balance length of a potentiometer is 50cm for a cell of unknown emf, and

Practice Questions

Q1
If the balance length of a potentiometer is 50cm for a cell of unknown emf, and the potential gradient is 4 V/m, what is the emf of the cell?
  1. 2V
  2. 4V
  3. 6V
  4. 8V

Questions & Step-by-Step Solutions

If the balance length of a potentiometer is 50cm for a cell of unknown emf, and the potential gradient is 4 V/m, what is the emf of the cell?
  • Step 1: Understand that the potentiometer measures the electromotive force (emf) of a cell.
  • Step 2: Identify the given values: the balance length is 50 cm and the potential gradient is 4 V/m.
  • Step 3: Convert the balance length from centimeters to meters: 50 cm = 0.5 m.
  • Step 4: Use the formula for emf: emf = potential gradient × length.
  • Step 5: Substitute the values into the formula: emf = 4 V/m × 0.5 m.
  • Step 6: Calculate the result: emf = 2 V.
  • Potentiometer Basics – Understanding how a potentiometer measures emf using the potential gradient and balance length.
  • Potential Gradient – The rate of change of potential per unit length, crucial for calculating emf in this context.
  • Unit Conversion – Converting cm to meters to ensure consistency in units when performing calculations.
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