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

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

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

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

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

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

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

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

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

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

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

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

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

a)Cấu tạo mạch: \(R_1ntR_2\)

\(R_{tđ}=R_1+R_2=4+6=10\Omega\)

\(I_{AB}=\dfrac{U_{AB}}{R_{tđ}}=\dfrac{18}{10}=1,8A\)

b)CTM: \(R_1nt\left(R_2//R_3\right)\)

\(R_{23}=\dfrac{R_2\cdot R_3}{R_2+R_3}=\dfrac{6\cdot12}{6+12}=4\Omega\)

\(R_{tđ}=R_1+R_{23}=4+4=8\Omega\)

c)Sử dụng tiếp mạch điện câu b.

\(I_1=I_{23}=I_{AB}=\dfrac{U_{AB}}{R_{tđ}}=\dfrac{18}{8}=2,25A\)

\(R_2//R_3\Rightarrow U_2=U_3=U_{23}=U-U_1=18-2,25\cdot4=9V\)

\(I_2=\dfrac{U_2}{R_2}=\dfrac{9}{6}=1,5A\)

a)\(R_{23}=\dfrac{R_2\cdot R_3}{R_2+R_3}=\dfrac{6\cdot3}{6+6}=2\Omega\)

   \(R_{tđ}=R_1+R_{23}=2+2=4\Omega\)

b)\(I_A=I_m=\dfrac{U}{R}=\dfrac{12}{4}=3A\)

c)

Lần sau cmt trong câu trả lời của mình nhé :v Viết kia ko nhận được thông báo đâu

\(R_1nt\left(R_2//R_3\right)\)

a/ \(\Rightarrow R_{td}=R_1+\dfrac{R_2.R_3}{R_2+R_3}=...\left(\Omega\right)\)

b/ \(I=I_1=I_{23}=\dfrac{U_{AB}}{R_{td}}=...\left(A\right)\)

\(\Rightarrow U_{23}=U_2=U_3=I_{23}.R_{23}=\dfrac{U_{AB}}{R_{td}}.\dfrac{R_2.R_3}{R_2+R_3}=...\left(V\right)\)

\(\Rightarrow I_3=\dfrac{U_3}{R_3}=...\left(A\right)\)

c/ \(R_4=\dfrac{U_{dm4}^2}{P_{dm4}}=\dfrac{36}{9}=4\left(\Omega\right);R_5=\dfrac{U_{dm5}^2}{P_{dm5}}=\dfrac{36}{3}=12\left(\Omega\right)\)

\(\Rightarrow R_{td}=R_4+\dfrac{R_5.R_3}{R_5+R_3}=....\left(\Omega\right)\)

\(\Rightarrow I_4=I=I_{35}=\dfrac{U_{AB}}{R_{td}}=...\left(A\right)\) ; \(I_{dm4}=\dfrac{P_{dm4}}{U_{dm4}}=\dfrac{9}{6}=\dfrac{3}{2}\left(A\right)\)

\(\Rightarrow U_{35}=U_3=U_5=I_{35}.R_{35}=\dfrac{U_{AB}}{R_{td}}.\dfrac{R_3.R_5}{R_3+R_5}=...\left(V\right)\)

\(\Rightarrow I_5=\dfrac{U_5}{R_5}=...\left(A\right)\) ;\(I_{dm5}=\dfrac{P_{dm5}}{U_{dm5}}=\dfrac{3}{6}=\dfrac{1}{2}\left(A\right)\)

Vậy là được, bạn tự so sánh và rút ra kết luận

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R2 R3 song song

R1nối tiếp với R2,3