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

Physics
JAMB 2024

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

  • A. 56.26cm
  • B. 73.20cm
  • C. 77.80cm
  • D. 78.70cm
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Correct Answer: Option A
Explanation

The balance length of a potentiometer is directly proportional to the e.m.f

Thus, \(\frac{L_1}{L_2} = \frac{E_1}{E_2}\)

\(L_2 = L_1\times \frac{E_2}{E_1}\)

\(L_2 =  75 \times \frac{2.295}{3.06}\)

         = 75 x 0.750 = 56.25cm

There is an explanation video available below.


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Explanation Video

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