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When two known resistance R and S are co...

When two known resistance R and S are connected in the left and right gaps of a meter bridge, the balance point is found at a distance `l_(1)` from the zero end of the meter bridge wire. An unknown resistance X is now connected in parallel to the resistance S and the balance point is found at a distance `l_(2)` from the zero end of the meter bridge wire,

Obtain a formula for X in terms of `l_(1), l_(2)` and S.

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