Write the principle of working of a metre bridge. In a metre bridge...

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Write the principle of working of a metre bridge.
In a metre bridge, the balance point is found at a distance \( \ell_{1} \) with resistances \( \mathrm{R} \) and \( \mathrm{S} \) as shown in the figure.
\( \mathrm{P} \)
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An unknown resistance \( \mathrm{X} \) is now connected in parallel to the resistance \( \mathrm{S} \) and the balance point is found at a distance \( \ell_{2} \). Obtain a formula for \( \mathrm{X} \) in terms of \( \ell_{1}, \ell_{2} \) and \( \mathrm{S} \).
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