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What will be the effect on the accuracy ...

What will be the effect on the accuracy of the result if we replace a single-wire potentiometer by a potentiometer having `12` wires, the length of each wire being `1 m` ?

Text Solution

Verified by Experts

Let the length of the potentiometer wire be `l`, and `V` be the
potential difference across it, then potential gradient is `K = V //l`.
Let balance point be obtained at `l_(1)`, then mesured potential
difference is `K l_(1) = V l_(1)//l`. Let us make error `Deltal` in measuring
`l_(1)`, then the percentage error is
`(k Delta l)/(k l_(1)) xx 100 = (Delta l)/(l_(1)) xx 100`
If `l` is increased, then `l_(1)` also increases and hence the percentage
error will decrease. So accuracy increases.
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