- #1
AdrianMachin
- 40
- 2
Homework Statement
[/B]
I was reviewing this stuff and although I excelled at it once, I seem to forget some of it.
For example, please consider this:
Homework Equations
[itex]R_C=\frac {R_1R_2} {R_1+R_2} + R_3[/itex]
Here's the correct formula for its error:
[itex]\Delta R_C=\frac {R_1R_2} {R_1+R_2} \left[ \frac {\Delta R_1} {R_1} +\frac {\Delta R_2} {R_2}
+\frac {\Delta R_1 + \Delta R_2} {R_1+R_2}\right] + \Delta R_3[/itex]
While mine would be this and I don't know what happened to the [itex]\Delta R_3[/itex] in the formula above:
[itex]\Delta R_C=\frac {R_1R_2} {R_1+R_2} \left[ \frac {\Delta R_1} {R_1} +\frac {\Delta R_2} {R_2}
+\frac {\Delta R_1 + \Delta R_2} {R_1+R_2} + \frac {\Delta R_3} {R_3}\right][/itex]
Another equation is:
[itex]I_1=\frac {R_3V_1+R_2(V_1+V_2)} {R_1R_2+R_2R_3+R_3R_1}[/itex]
Which I don't know the correct solution to finding its error, but here's my attempt at a solution:
The Attempt at a Solution
[itex]\Delta I_1= I_1 \left[ \frac {\Delta R_3 \Delta V_1+\Delta R_2 \Delta V_1+ \Delta R_2 \Delta V_2} {R_3V_1 + R_2(V_1+V_2)} + \frac {\Delta R_1 \Delta R_2+ \Delta R_2 \Delta R_3+ \Delta R_3 \Delta R_1} {R_1R_2+R_2R_3+R_3R_1}\right] [/itex]
Is this correct, if not, why?
Thank you in advance.