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The resistance R = V//i, where V = 100 +...

The resistance `R = V//i`, where `V = 100 +- 5 V and I = 10+- 0.2 A`. What is the total error in `R`?

A

`5%`

B

`7%`

C

`5.2%`

D

`((5)/(2))%`

Text Solution

Verified by Experts

The correct Answer is:
B
`R= (V)/(I) rArr (Delta R)/(R ) = (Delta V)/(V) + (Delta I)/(I)`
`rArr (Delta R)/(R ) xx 100 = ((5)/(100)xx 100 + (0.2)/(10) xx 100) = 7%`
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