Tiếp nè

Do \(R_{12}//R_3\)

\(\Rightarrow U_{12}=U_3=U_{123}=\frac{48a}{7}\left(V\right)\)

\(\rightarrow I_3=\frac{U_3}{R_3}=\frac{\frac{48a}{7}}{4a}=\frac{12}{7}\left(A\right)\)

\(\rightarrow I_{12}=\frac{U_{12}}{R_{12}}=\frac{\frac{48a}{7}}{3a}=\frac{16}{7}\left(A\right)\)

Do \(R_1ntR_2\)

\(\Rightarrow I_1=I_2=I_{12}=\frac{16}{7}\left(A\right)\)

Vậy:

\(I_4=4\left(A\right)\)

\(I_3=\frac{12}{7}\left(A\right)\)

\(I_1=I_2=\frac{16}{7}\left(A\right)\)

Ta có : [(R\(_1\) nt R\(_2\) ) \(//\) R\(_3\) ] nt R\(_4\)

\(\Rightarrow\) R\(_{12}\) = R\(_1\) + R\(_2\) = a+2a = 3a (\(\Omega\) )

\(\Rightarrow R_{234}=\frac{R_{12}.R_3}{R_{12}+R_3}=\frac{3a.4a}{3a+4a}=\frac{12a^2}{7a}=\frac{12a}{7}\left(\Omega\right)\)

\(\Rightarrow R_{td}=R_{123}+R_4=\frac{12a}{7}+a=\frac{19a}{7}\left(\Omega\right)\)

Do \(R_{123}ntR_4\)

\(\Rightarrow I_{123}=I_4=I=4\left(A\right)\)

\(\Rightarrow U_{123}=I_{123}.R_{123}=\frac{12a}{7}.4=\frac{48a}{7}\left(V\right)\)

Do

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Yêu cầu của đề là gì vậy em ?

Ta có :R₁₂=R₁+R₂=10+10=20\(\Omega\)

Có :(R₁nt R₂)//R₃ :

\(\Rightarrow\)R₁₂₃=\(\frac{R_{12}.R_3}{R_{12}+R_3}=\frac{20.5}{20+5}=4\Omega\)

Có : R₄nt(R₁ntR₂)//R₃):

\(\Rightarrow\)R_tđ=R₄+R₁₂₃=6+4=10\(\Omega\)

\(\Rightarrow\)I_c=\(\frac{U}{R_{tđ}}=\frac{12}{10}=1,2A\)

\(\Rightarrow\)I_c=I₄=I₁₂₃=1,2A

\(\Rightarrow\)U₄=I₄.R₄=1,2.6=7,2V

Có :R₄nt((R₁ntR₂)//R₃)

\(\Rightarrow\)U=U₄+U₁₂₃

\(\Rightarrow\)U₁₂₃=U-U₄=12-7,2=4,8V

mà (R₁ntR₂)//R₃

\(\Rightarrow\)U₁₂=U₃=U₁₂₃=4,8V

\(\Rightarrow\)I₁₂=\(\frac{U_{12}}{R_{12}}=\frac{4,8}{20}=0,24A\)\(\Rightarrow\)I₁=I₂=I₁₂=0,24A\(\Rightarrow\)\(\left\{{}\begin{matrix}U_1=R_1.I_1=10.0,24=2,4V\\U_2=R_2.I_2=10.0,24=2,4V\end{matrix}\right.\)

\(\Rightarrow\) I₃=\(\frac{U_3}{R_3}=\frac{4,8}{5}=0,96\)A