If R is the total resistance of three resistors, connected in parallel, with resistances R 1 , R 2 , R 3 , then 1 R 1 R 1 1 R 2 1 R 3 If the resistances are measured in ohms as R 1 25 , R 2 40 , and R 3 50 , with a possible error of 0 5 in each case, estimate the maximum error in the calculated val...

R First we find implicitly by taking partial derivatives of both sides with ...

If R is the total resistance of three resistors, connected in parallel, with resistances R 1 ,

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If R is the total resistance of three resistors, connected in parallel, with resistances R₁, R₂, R₃, then
1/R = 1/R₁ + 1/R₂ + 1/R₃

If the resistances are measured in ohms as R₁ = 25 Ω, R₂ = 40 Ω, and R₃ = 50 Ω, with a possible error of 0.5% in each case, estimate the maximum error in the calculated value of R.

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Calculus Early Transcendentals

ISBN: 978-1285741550

8th edition

Authors: James Stewart

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If R is the total resistance of three resistors, connected in parallel, with resistances R 1 ,

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Calculus Early Transcendentals

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