f RR is the total resistance of two resistors, connected in parallel, with resistances R1R1 and R2R2, then   1R=1R1+1R21R=1R1+1R2.   If the resistances are measured in Ohms as R1=25Ω,R2=42ΩR1=25Ω,R2=42Ω, with possible error of 1%1% in each case, estimate the maximum error in the calculated value of RR.

Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter29: Direct Current (dc) Circuits
Section: Chapter Questions
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f RR is the total resistance of two resistors, connected in parallel, with resistances R1R1 and R2R2, then

 
1R=1R1+1R21R=1R1+1R2.
 

If the resistances are measured in Ohms as R1=25Ω,R2=42ΩR1=25Ω,R2=42Ω, with possible error of 1%1% in each case, estimate the maximum error in the calculated value of RR.

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