Question on: JAMB Physics - 2024

When a cell of e.m.f 3.06 V is connected, the balance of a potentiometer is 75 cm. Calculate the new balance of a cell of e.m.f 2.295 V.

A
56.26 cm
B
73.20 cm
C
77.80 cm
D
78.70 cm
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Correct Option: A

Potential difference (emf) is directly proportional to the balancing length in a potentiometer. Set up proportion: E₁ / E₂ = L₁ / L₂

  • E₁ = 3.06 V
  • E₂ = 2.295 V
  • L₁ = 75 cm
  • L₂ = unknown

Calculate L₂: L₂ = (E₂ x L₁) / E₁ = (2.295 x 75) / 3.06 = 172.125 / 3.06 ≈ 56.25 cm

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