Question

cho hai dien tro R1 va R2 biet rang khi mac noi tiep thi dien tro tuong duong cua chung la 50 om con khi mac song song thi dien tro tuong duong cua chung la 12,5 om tinh dien tro R1 vaR2

Answer 1

khi mắc nối tiếp: \(R_t=R_1+R_2=50\Omega\)

Khi mắc song song: \(R_t=\dfrac{R_1.R_2}{R_1+R_2}=12,5\Omega\)

\(\Rightarrow R_1.R_2=12,5.50=625\Omega\)

\(\Rightarrow\left\{{}\begin{matrix}R_1=50-R_2\\\left(50-R_2\right).R_2=1800\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}R_1=50-R_2\\R_2^2-90R_2+1800=0\end{matrix}\right.\)\(\Leftrightarrow\left\{{}\begin{matrix}R_1=90-R_2\\\left\{{}\begin{matrix}R_2=30\\R_2=60\end{matrix}\right.\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}\left\{{}\begin{matrix}R_1=60\\R_2=30\end{matrix}\right.\\\left\{{}\begin{matrix}R_1=30\\R_2=60\end{matrix}\right.\end{matrix}\right.\)