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NEET 2015 (AIPMT) · Potentiometer

Potentiometer question from NEET 2015 (AIPMT)

Q79NEET 2015 · AIPMTMedium

Potentiometer

A potentiometer wire of length L and a resistance r are connected in series with a battery of e.m.f. E0 and a resistance r1. An unknown e.m.f. E is balanced at a length ll of the potentiometer wire. The e.m.f. E will be given by

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Answer: (d)

  1. Current I=E0r+r1I = \frac{E_0}{r + r_1}, p.d. across wire =E0rr+r1= \frac{E_0 r}{r + r_1}.
  2. k=E0r(r+r1)Lk = \frac{E_0 r}{(r + r_1)L}
  3. E=kl=E0rr+r1⋅lLE = k l = \frac{E_0 r}{r + r_1} \cdot \frac{l}{L}.
  4. So the answer is (d).
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