A potentiometer wire of length \( \mathrm{L} \) and resistance \( \mathrm{r} \) is connected in ...
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0A potentiometer wire of length \( \mathrm{L} \) and resistance \( \mathrm{r} \) is connected in series with a battery of e.m.f. \( E_{0} \) and
P a resistance \( r_{1} \). An unknown e.m.f. \( E \) is balanced at a length \( \ell \) of the potentiometer wire. The e.m.f.
W \( \mathrm{E} \) will be given by :
(1) \( \frac{\mathrm{LE}_{0} \mathrm{r}}{\left(\mathrm{r}+\mathrm{r}_{1}\right) \ell} \)
(2) \( \frac{L E_{0} r}{\ell r_{1}} \)
(3) \( \frac{E_{0} r}{\left(r+r_{1}\right)} \cdot \frac{\ell}{L} \)
(4) \( \frac{E_{0} \ell}{L} \)
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