High School

The resistance [tex] R = \frac{V}{I} [/tex], where [tex] V = 100.5 [/tex] and [tex] I = 100.2 [/tex].

Find the percentage error in [tex] R [/tex].​

Answer :

Complete question :

the resistance r =v/i where v = (100±5 )v and I = (10±0.2) a.find percentage error in r

Answer:

7%

Explanation:

Given that :

R = V/I

V = 100 ± 5

I = 10 ± 0.2

Percentage error in R can be obtained thus :

[(dV / V) + (dI / I)] * 100%

dV = ± 5

dI = ± 0.2

[(5 / 100) + (0.2 / 10)] * 100%

(0.05 + 0.02) * 100%

= 0.07 * 100%

= 7%

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