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Ohm's Law in Scalar Form

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Question

Find the percentage error in resistance if v= 100+-5. And I= 10+-2 ?

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Solution

= 10 Ω
$fraction numerator increment R over denominator R end fraction equals plus-or-minus open parentheses fraction numerator increment V over denominator V end fraction plus fraction numerator increment I over denominator I end fraction close parentheses space space space space space space space space space equals space plus-or-minus open parentheses 5 over 100 plus 2 over 10 close parentheses space space space space space space space space space space space equals plus-or-minus 25 over 100 equals plus-or-minus 0.25$

= 2.5 Ω

Resistance with error limit R = Ω

Percentage error in R
= $fraction numerator increment R over denominator R end fraction cross times 100$

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