I just saw a formula in my book for relative error in equivalent resistance of two resistors connected in parallel.
$\frac{\Delta R}{R^2} = \frac{\Delta R_1}{R_1^2}+\frac{\Delta R_2}{R_2^2}$
How do I derive this formula?
Answer
Start with
$\frac{1}{R} = \frac{1}{R_1}+\frac{1}{R_2}$ for paralllel resistors
Then apply equation 4a from this reference to each side. In other words, consider the right side as $f(R_1, R_2)$ and the left side as $f(R)$.
$\Delta f(R) = \Delta f(R_1, R_2)$
No comments:
Post a Comment