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If RR Is the Total Resistance of Three Resistors, Connected in Parallel

Question 80

Multiple Choice

If RR is the total resistance of three resistors, connected in parallel, with resistances R1,R2,R3R _ { 1 } , R _ { 2 } , R _ { 3 } , then
1R=1R1+1R2+1R3\frac { 1 } { R } = \frac { 1 } { R _ { 1 } } + \frac { 1 } { R _ { 2 } } + \frac { 1 } { R _ { 3 } }
If the resistances are measured in ohms as R1=30Ω,R2=35ΩR _ { 1 } = 30 \Omega , R _ { 2 } = 35 \Omega and R3=50ΩR _ { 3 } = 50 \Omega , with a possible error of 0.8%0.8 \% in each case, estimate the maximum error in the calculated value of RR .


A) 0.347Ω0.347 \Omega
B) 0.476Ω0.476 \Omega
C) 0.291Ω0.291 \Omega
D) 0.098Ω0.098 \Omega
E) 0.957Ω0.957 \Omega

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