The resistance r is the ratio of potential difference v and current i. What is the percentage error in r if is (100+5) v and i is (10+0.2) a ?
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Answer:
v=(100+-5)a
I=(10+-0.2)a
R=V/I =100/10=10Ω
ΔR/R=+_[ ΔV/V+ ΔI/I]
=+_[5/100+0.2/10]
=+_[7/100]
=+_0.07
ΔR=R*0.07
=+_0.07*10
=0.7 ohms
Percentage error ΔR/R*100=+_0.07*100=+_7 percent
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