\(R_{12}=\dfrac{15.30}{15+30}=10\left(\Omega\right)\)

\(R_m=R_{12}+R_3=10+30=40\left(\Omega\right)\)

\(I_m=\dfrac{U_{AB}}{R_m}=\dfrac{12}{40}=0,3\left(A\right)\)

\(b,I_{12}=I_3=0,3\left(A\right)\)

\(\dfrac{I_1}{I_2}=\dfrac{R_2}{R_1}=\dfrac{30}{15}=\dfrac{2}{1}\)

\(\rightarrow I_1=0,2\left(A\right);I_2=0,1\left(A\right)\)

R3//(R1`nt R2)

\(=>Rtd=\dfrac{Uab}{I}=\dfrac{12}{2}=6\Omega\)

\(=>6=\dfrac{R3\left(R1+R2\right)}{R3+R1+R2}=\dfrac{15\left(8+R2\right)}{23+R2}=>R2=2\Omega\)

\(=>I1=I2=\dfrac{U12}{R1+R2}=\dfrac{12}{2+8}=1,2A=>U1=I1R1=9,6V=>U2=12-9,6=2,4V\)

thank

Ừm mình không thấy hình vẽ đâu cả , bạn xem lại giúp mình

\(a,R_{23}=R_2+R_3=30+30=60\left(\Omega\right)\)

\(R_m=\dfrac{R_{23}.R_1}{R_{23}+R_1}=\dfrac{60.15}{60+15}=12\left(\Omega\right)\)

\(b,I_m=\dfrac{U_{AB}}{R_m}=\dfrac{12}{12}=1\left(A\right)\)

\(I_1+I_{23}=1\left(A\right)\)

\(\dfrac{I_1}{I_{23}}=\dfrac{R_{23}}{R_1}=\dfrac{60}{15}=\dfrac{4}{1}\)

\(\rightarrow I_1=0,8\left(A\right);I_{23}=0,2\left(A\right)\)

\(\rightarrow I_2=I_3=0,2\left(A\right)\)

\(MCD:\left(R1//R2\right)ntR3\)

\(=>R=R12+R3=\dfrac{R1\cdot R2}{R1+R2}+R3=\dfrac{12\cdot6}{12+6}+8=12\Omega\)

\(=>I=I12=I3=\dfrac{U}{R}=\dfrac{24}{12}=2A\)

\(=>U3=I3\cdot R3=2\cdot8=16V\)

\(=>U12=U1=U2=U-U3=24-16=8V\)

\(=>\left\{{}\begin{matrix}I2=U2:R2=8:6=\dfrac{4}{3}A\\I1=U1:R1=8:12=\dfrac{2}{3}A\end{matrix}\right.\)

\(=>A=UIt=24\cdot2\cdot\dfrac{150}{60}=120\)Wh = 0,12kWh

\(=>T=A\cdot1700=0,12\cdot1700=204\left(dong\right)\)

(R1//r2)nt r3

theo comment của bạn mạch hình vẽ \(\left(R1//R2\right)ntR3\)

a, \(=>Rtđ=R3+\dfrac{R1.R2}{R1+R2}=15+\dfrac{4.6}{4+6}=17,4\left(ôm\right)\)

b, không có hình ko biết ampe kế A mắc chỗ nào nên mình ko tính số chỉ nhé, bn chụp lại hình rồi đăng lại

\(=>Im=\dfrac{Uab}{Rttd}=\dfrac{36}{17,4}=\dfrac{60}{29}A=I12=>U12=\dfrac{60}{29}.\dfrac{4.6}{4+6}\approx5V=U1\)

\(=U2\)

Tóm tắt:

\(R_1=2\Omega\\ R_2=6\Omega\\ R_3=4\Omega\\ R_4=10\Omega\\ U_{AB}=28V\\ a,R_{tđ}=?\\ b,I_1?\\ I_2=?\\ I_3=?\\ I_4=?\\ c,U_1=?\\ U_2=?\)

Giải:

Cấu tạo: R₁nt[R₄//(R₂ntR₃)]

\(R_{23}=R_2+R_3=6+4=10\left(\Omega\right)\)

\(R_{234}=\dfrac{R_4\cdot R_{23}}{R_4+R_{23}}=5\Omega\)

\(R_{tđ}=R_1+R_{234}=7\Omega\)

b,\(I_1=I=\dfrac{U_{AB}}{R_{tđ}}=\dfrac{28}{7}=4\left(A\right)\)

\(I_{234}=I_1=4\left(A\right)\)

\(\Rightarrow U_{23}=U_4=U_{234}=I_{234}\cdot R_{234}=4\cdot5=20\left(V\right)\)

\(I_4=\dfrac{U_4}{R_4}=\dfrac{20}{10}=2\left(A\right)\)

\(I_2=I_3=I_{23}=\dfrac{U_{23}}{R_{23}}=\dfrac{20}{10}=2\left(A\right)\)

c,\(U_1=R_1\cdot I_1=2\cdot4=8\left(V\right)\)

\(U_2=I_2\cdot R_2=2\cdot6=12\left(V\right)\)