A potentiometer wire of length 100 cm has a resistance of 10 ohm. It is connected in series with a resistance and an accumulator of emf 2V and of negligible internal resistance. A source of emf of 10 mV is balanced against a length of 40 cm of the potentiometer wire. What is the value of external resistance?
Text Solution
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The current in the potentiometer wire
is 

The potential difference across the potentiometer wire is
current × resistance

The length of the wire is
.
So, the potential gradient along the wire is
… .(i)
The source of emf 10 mV is balanced against a length of 40 cm of the potentiometer wire
i.e.
or
Using
or
.
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