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To determine an unknown resistance R in ...

To determine an unknown resistance R in the Iaboratory, readings of potentiaI difference V and eIectric current `I` are taken. From these readings percentage error is caIcuIated and V and `I` are obtained as V= `(100 pm 5)` volt `I = (10 pm 0.2)` amp. The percentage error in the value of R determined from these V and `I` will be

A

`3%`

B

`4.8%`

C

`5.2%`

D

`7%`

Text Solution

Verified by Experts

The correct Answer is:
D
We know R `=(V)/(I)`
`:.` Percentage error in the value of R,
`(DeltaR)/(R)xx100% = (DeltaV)/(V)xx100%+(DeltaI)/(I)xx100%`
`=5%+2% =7%`
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