A potentiometer wire of Length L and a r...

A potentiometer wire of Length `L` and a resistance `r` are connected in series with a battery of e.m.f. `E_(0)` and a resistance `r_(1)`. An unknown e.m.f. `E` is balanced at a length `l` of the potentiometer wire. The e.m.f. `E` will be given by :

`("LE"_(0)r)/((r+r_(1))l)`

`("LE"_(0)r)/(lr_(1))`q

`(E_(0)r)/((r+r_(1)))(l)/(L)`

`(E_(0)l)/(L)`

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