Moderate

The e.m.f of the driver cell in a potentiometer circuit is 10 V. The length of the potentiometer wire is 1 m and its resistance is 9 Ω. A cell of e.m.f 5 V is balanced on the 5/9 m length of the wire. The internal resistance of the driver cell is:

Correct answer: A. 1 Ω

  • A. 1 Ω
  • B. 0.1 Ω
  • C. 2 Ω
  • D. 0.5 Ω

Explanation

The balancing condition gives the potential drop across the wire length. The current in the primary circuit is I = E / (R + r). The potential drop across the balanced length (5/9 m, with resistance 5 Ω) is 5V. Solving the equation 5V = I × 5Ω gives r = 1Ω.

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