Câu 41.

Điện trở dây:

\(R=\rho\cdot\dfrac{l}{S}=\rho\cdot\dfrac{l}{\pi\cdot\dfrac{d^2}{4}}=2,8\cdot10^{-8}\cdot\dfrac{3,14}{\pi\cdot\left(\dfrac{2\cdot10^{-3}}{2}\right)^2}=0,028\Omega\)

Câu 39.

\(R_{tđ}=\dfrac{R_1\cdot R_2}{R_1+R_2}=\dfrac{8\cdot6}{8+6}=\dfrac{24}{7}\Omega\)

\(I=\dfrac{U}{R}=\dfrac{3,2}{\dfrac{24}{7}}=\dfrac{14}{15}A\)

Câu 40.

Điện trở qua dây: \(R_2=\dfrac{U}{I}=\dfrac{12}{1,5}=8\Omega\)

Chiều dài dây:

\(\dfrac{R_1}{R_2}=\dfrac{l_1}{l_2}\Rightarrow l_2=\dfrac{R_2\cdot l_1}{R_1}=\dfrac{8\cdot6}{2}=24m\)

Câu 36.

\(R=\rho\cdot\dfrac{l}{S}=1,7\cdot10^{-8}\cdot\dfrac{2}{2\cdot10^{-6}}=0,017\Omega\)

a. \(\left[{}\begin{matrix}R1=p1\dfrac{l1}{S1}=0,4.10^{-6}\dfrac{100}{0,5.10^{-6}}=80\left(\Omega\right)\\R2=p2\dfrac{l2}{S2}=0,4.10^{-6}\dfrac{100}{0,5S1}=0,4.10^{-6}\dfrac{100}{0,5.0,5.10^{-6}}=160\left(\Omega\right)\end{matrix}\right.\)

b. \(I=I1=I2=\dfrac{U}{R}=\dfrac{40}{80+160}=\dfrac{1}{6}\left(A\right)\left(R1ntR2\right)\)

\(\Rightarrow\left[{}\begin{matrix}U1=I1.R1=\dfrac{1}{6}.80=\dfrac{40}{3}\left(V\right)\\U2=I2.R2=\dfrac{1}{6}.160=\dfrac{80}{3}\left(V\right)\end{matrix}\right.\)

\(U=U1=U2=12V\left(R1\backslash\backslash\mathbb{R}2\right)\)

\(\Rightarrow\left\{{}\begin{matrix}I1=U1:R1=12:5=2,4A\\I2=U2:R2=12:10=1,2A\end{matrix}\right.\)

CTM: \(\left(R_1ntR_2\right)//R_3\)

\(R_{12}=R_1+R_2=4+4=8\Omega\)

\(R_{tđ}=\dfrac{R_{12}\cdot R_3}{R_{12}+R_3}=\dfrac{8\cdot4}{8+4}=\dfrac{8}{3}\Omega\)

\(U=R_{tđ}\cdot I=\dfrac{8}{3}\cdot2=\dfrac{16}{3}V\)

Chiều dài dây dẫn \(R_3\) là: \(R_3=\rho\cdot\dfrac{l}{S}\)

\(\Rightarrow l=\dfrac{R_3\cdot S}{\rho}=\dfrac{4\cdot0,06\cdot10^{-6}}{\dfrac{7}{12500000}}=\dfrac{3}{7}m\approx42,86cm\)

\(\dfrac{S1}{S2}=\dfrac{R2}{R1}\Rightarrow S2=\dfrac{S1\cdot R1}{R2}=\dfrac{0,05\cdot10^{-6}\cdot8,5}{127,5}\approx3,\left(3\right)\cdot10^{-9}m^2\)

TT

\(R_1=40\Omega\)

\(R_2=60\Omega\)

\(U=36V\)

\(P\left(hoa\right)=?W\)

Giải

Điện trở tương đương của mạch là:

\(\dfrac{1}{R_{tđ}}=\dfrac{1}{R_1}+\dfrac{1}{R_2}=\dfrac{1}{40}+\dfrac{1}{60}=\dfrac{1}{24}\)

\(\Rightarrow R_{tđ}=\dfrac{24}{1}=24\Omega\)

Công suất tiêu thụ của toàn mạch là:

\(P\left(hoa\right)=\dfrac{U^2}{R_{tđ}}=\dfrac{36^2}{24}=54W\)

Bài 1: 

\(R_m=\dfrac{R_1.R_2}{R_1+R_2}=\dfrac{20.60}{20+60}=15\left(\Omega\right)\)

\(I_m=\dfrac{12}{15}=0,8\left(A\right)\)

\(I_1=\dfrac{U}{R_1}=\dfrac{12}{20}=0,6\left(A\right)\)

Bài 2: 

\(20=0,4.10^{-6}.\dfrac{x}{0,2.10^{-6}}\)

\(\rightarrow x=10\)

Vậy chiều dài dây là 10m