a) \(R_Đ=\dfrac{U^2}{P}=\dfrac{10^2}{10}=10\left(ÔM\right)\)

\(R_{TĐ}=\dfrac{R_1.R_2}{R_1+R_2}+R_Đ=\dfrac{8.7}{8+7}+10=13,73\left(ÔM\right)\)

b)

\(U_{12}=U_1=U_2=R_{12}.I=3,73.1,8=6,71\left(V\right)\)

\(\Rightarrow P_1=\dfrac{U^2_1}{R_1}=\dfrac{6,71^2}{8}=5,63\left(W\right)\)

\(\Rightarrow A_1=P_1.t=5,63.600=3378\left(J\right)\)  ( Đổi \(10P=600s\))

c)

\(P_2=\dfrac{U_2^2}{R_2}=\dfrac{6,71^2}{7}=6,43\left(W\right)\)

\(\Rightarrow\) \(P_1< P_2\)

Hòa em ak???

Bài dễ thế này ko biết làm

Gà thế!!

\(=>R1ntR2ntR3=>Rtd=R1+R2+R3=3R1+R2\left(om\right)\)

\(=>RTd=\dfrac{12}{0,5}=24\left(om\right)\)

\(=>3R1+R2=24=>R2=24-3R1\)

\(I=I1=I2=I3=0,5A\)

\(=>3U1=U2\)\(=>3.0,5.R1=R2.0,5=>3R1=R2=>3R1=24-3R1=>R1=4\left(om\right)\)

\(=>R2=24-3R1=12\left(om\right)\)

\(=>R3=2R1=8\left(om\right)\)

\(=>U1=0,5.R1=2V\)

\(=>U2=0,5.R2=6V\)

\(=>U3=0,5.8=4V\)

\(R_Đ=\dfrac{U^2_Đ}{P_Đ}=\dfrac{10^2}{10}=10\Omega;I_{Đđm}=\dfrac{P_Đ}{U_Đ}=\dfrac{10}{10}=1A\)

a)\(R_{12}=R_1+R_2=8+7=15\Omega\)

\(R_{tđ}=\dfrac{R_{12}\cdot R_Đ}{R_{12}+R_Đ}=\dfrac{15\cdot10}{15+10}=6\Omega\)

b)\(U_m=R_{tđ}\cdot I_m=6\cdot1,8=10,8V\)

\(I_1=I_2=I_{12}=\dfrac{U_{12}}{R_{12}}=\dfrac{U}{R_{12}}=\dfrac{10,8}{15}=0,72A\)

\(A_1=U_1I_1t=R_1I_1^2t=8\cdot0,72^2\cdot10\cdot60=2488,32J\)

c)Công suất: \(P=U\cdot I=R\cdot I^2\)

Mặt khác: \(R_1ntR_2\Rightarrow I_1=I_2=I\) mà \(R_1>R_2\)

Nên \(P_1>P_2\)

Bạn tách ra rồi đăng từng bài một nhé!

\(12.R1//R2\Rightarrow\left\{{}\begin{matrix}a,\Rightarrow U=U1=I1.R1=20.4=80V\\\Rightarrow R2=\dfrac{U}{I2}=\dfrac{80}{2,2}=\dfrac{400}{11}\left(\Omega\right)\\b,R2//R3\Rightarrow\dfrac{R2.R3}{R2+R3}=\dfrac{U}{I'}=\dfrac{80}{5,2}=\dfrac{200}{13}\Rightarrow R3\approx26,67\left(\Omega\right)\\\Rightarrow I2=I'-I3=5,2-\dfrac{U}{R3}\approx2,2A\end{matrix}\right.\)

\(13\Rightarrow\left\{{}\begin{matrix}R1ntR2\Rightarrow Im=\dfrac{U}{R1+R2}\Rightarrow\dfrac{90}{R1+R2}=1\\R1//R2\Rightarrow Im=\dfrac{U}{\dfrac{R1.R2}{R1+R2}}=\dfrac{90\left(R1+R2\right)}{R1.R2}=4,5\\\\\end{matrix}\right.\)

\(\Rightarrow\left\{{}\begin{matrix}R1+R2=90\\90\left(R1+R2\right)=4,5.R1R2\end{matrix}\right.\Rightarrow\left\{{}\begin{matrix}R2=90-R1\\90\left(R1+90-R1\right)=4,5.R1\left(90-R1\right)\end{matrix}\right.\)

\(\Leftrightarrow\left\{{}\begin{matrix}\left[{}\begin{matrix}R2=90-60=30\Omega\\R2=90-30=60\Omega\end{matrix}\right.\\\left[{}\begin{matrix}R1=60\Omega\\R2=30\Omega\end{matrix}\right.\end{matrix}\right.\)\(\Rightarrow\left(R1;R2\right)=\left\{\left(30;60\right);\left(60;30\right)\right\}\)

\(14.\Rightarrow\left\{{}\begin{matrix}a,\Rightarrow Rtd=\dfrac{R1R2}{R1+R2}=\dfrac{2R2^2}{3R2}=\dfrac{U}{I}=\dfrac{48}{2}=24\Rightarrow\left\{{}\begin{matrix}R2=36\Omega\\R1=2.R2=72\Omega\end{matrix}\right.\\b,R1ntR2\Rightarrow U=I\left(R1+R2\right)=2\left(36+72\right)=216V\\\\\end{matrix}\right.\)

\(15.\Rightarrow\dfrac{1}{Rtd}=\dfrac{1}{\dfrac{U}{I}}=\dfrac{1}{\dfrac{60}{9}}=\dfrac{3}{20}=\dfrac{1}{R1}+\dfrac{1}{R2}+\dfrac{1}{R3}=\dfrac{1}{R1}+\dfrac{1}{\dfrac{R1}{2}}+\dfrac{1}{\dfrac{R1}{3}}\Rightarrow\left\{{}\begin{matrix}R1=40\Omega\\R2=\dfrac{R1}{2}=20\Omega\\R3=\dfrac{R1}{3}=\dfrac{40}{3}\Omega\end{matrix}\right.\)

\(\Rightarrow\left\{{}\begin{matrix}I1=\dfrac{U}{R1}=\dfrac{60}{40}=1,5A\\I2=\dfrac{U}{R2}=\dfrac{60}{20}=3A\\I3=\dfrac{U}{R3}=\dfrac{60}{\dfrac{40}{3}}=4,5A\end{matrix}\right.\)

Cường độ dòng điện điện trở R1:

\(I_1=\dfrac{U_1}{R_1}=\dfrac{6}{15}=0,4\left(A\right)\)

Vì \(R_1ntR_2\Rightarrow I=I_1=I_2=0,4\left(A\right)\)

Hiệu điện thế 2 đầu điện trở R2:

\(U_2=I_2.R_2=0,4.20=8\left(V\right)\)

\(R=R1+R2+R3\)

\(R_{12}=\dfrac{R_1R_2}{R_1+R_2}=\dfrac{4\cdot4}{4+4}=2\left(\Omega\right)\)

\(R_{34}=R_3+R_4=3+5=8\left(\Omega\right)\)

\(R_{345}=\dfrac{R_5R_{34}}{R_5+R_{34}}=\dfrac{8\cdot8}{8+8}=4\left(\Omega\right)\)

\(R_{tđ}=R_{12}+R_{345}=2+4=6\left(\Omega\right)\)

\(I_{12}=I_{345}=I=\dfrac{U}{R_{tđ}}=\dfrac{12}{6}=2\left(A\right)\)

\(U_1=U_2=U_{12}=I_{12}\cdot R_{12}=2\cdot2=4\left(V\right)\)

\(U_5=U_{34}=U_{345}=I_{345}\cdot R_{345}=2\cdot4=8\left(V\right)\)

\(I_1=\dfrac{U_1}{R_1}=\dfrac{4}{4}=1\left(A\right)\)

\(I_2=\dfrac{U_2}{R_2}=\dfrac{4}{4}=1\left(A\right)\)

\(I_3=I_4=I_{34}=\dfrac{U_{34}}{R_{34}}=\dfrac{8}{8}=1\left(A\right)\)

\(I_5=\dfrac{U_5}{R_5}=\dfrac{8}{8}=1\left(A\right)\)