Answer to Question #267243 in Electric Circuits for adit

Question

The equivalent resistance of two resistors R1 and R2 is given by Req = R1 + R2 and Req =R1R2/R1+R2

when they are connected in series and parallel respectively. If R1 = 22.0 Ω ±

5% and R2 = 47.0 ± 5% , find the maximum error in the calculation of their equivalent

resistance when they are connected in series and parallel.

Answer 1

serial connection

$\delta_{ser}= max(\delta_1,\delta_2)$

where $\delta_{ser}$ - caclulation error of serial connection, $\delta_1$ and $\delta_2$ are calculation errors of R1 and R2 respectively.

$\delta_{ser}= max(5 \%,5 \%)$

$\delta_{ser}= 5 \%$

parallel connection

$\delta_{par}=\delta_{1}+\delta_{2} + max(\delta_{1},\delta_{2})=5\%+5\%+max(5\%,5\%)=15\%$