- #1
Quantumkid
- 4
- 0
we write [tex]\frac{1}{R}=\frac{1}{R_1}+\frac{1}{R_2}[/tex] where R is the equivalent resistance of [tex]R_1[/tex] and [tex]R_2[/tex].
Let there is an error in the measurements of [tex]R_1[/tex] and [tex]R_2[/tex] of [tex]\pm[/tex] [tex]\Delta R_1[/tex] and
[tex]\pm [/tex][tex]\Delta R_2[/tex] respectively.
Is it correct that
[tex]\frac{\Delta R}{R^2}=\frac{\Delta R_1}{{R_1}^2}+\frac{\Delta R_2}{{R_2}^2}[/tex] ?
EDIT: Corrected
Let there is an error in the measurements of [tex]R_1[/tex] and [tex]R_2[/tex] of [tex]\pm[/tex] [tex]\Delta R_1[/tex] and
[tex]\pm [/tex][tex]\Delta R_2[/tex] respectively.
Is it correct that
[tex]\frac{\Delta R}{R^2}=\frac{\Delta R_1}{{R_1}^2}+\frac{\Delta R_2}{{R_2}^2}[/tex] ?
EDIT: Corrected
Last edited: