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

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

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

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

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

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

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

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

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

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

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

Ảnh đâu bạn ?

ta thấy \(\dfrac{R_1}{R_2}=\dfrac{R_3}{R_4}=2\) => mạch cầu cân bằng => I5=0 U5=0

khi K đóng \(R_{1234}=\dfrac{\left(R_1+R_3\right)\left(R_2+R_4\right)}{R_1+R_2+R_3+R_4}=4\left(\Omega\right)\)

\(R_{td}=\dfrac{R_6.R_{1234}}{R_6+R_{1234}}\)

\(\Rightarrow I_A=I=\dfrac{U_{AB}}{R_{td}}=\dfrac{48}{2}=24\left(A\right)\)

em đang ôn hsg lí 9 à :???

a, \(=>R5nt\left[\left(R1//R3\right)nt\left(R2//R4\right)\right]\)

\(=>Rtd=R5+\dfrac{R1R3}{R1+R3}+\dfrac{R2.R4}{R2+R4}=1,2+\dfrac{8.12}{8+12}+\dfrac{8.24}{8+24}\)\(=12\left(om\right)\)

b,\(=>Im=\dfrac{4}{12}=\dfrac{1}{3}A=I5=I13=I24\)

\(=>U13=\dfrac{1}{3}\left(\dfrac{8.12}{8+12}\right)=1,6V=U1=U3\)

\(=>I1=\dfrac{1,6}{8}=0,2A,I3=\dfrac{1,6}{12}=\dfrac{2}{15}A\)

\(=>U24=\dfrac{1}{3}\left(\dfrac{8,24}{8+24}\right)=2V=U2=U4\)

\(=>I2=\dfrac{2}{8}=0,25A,I4=\dfrac{2}{24}=\dfrac{1}{12}A\)

c, giả sử chiều dòng điện qua ampe kế từ M đến N

\(=>I1=Ia+I2=>Ia=I1-I2=0,2-0,25=-0,05A\)

=>chiều dòng điện phải từ N tới M =>số chỉ ampe kế là 0,05A

Do \(R_3ntR_{1,2}\) nên \(I_3=I_{1,2}=\dfrac{2}{3}A\)

Do đó: \(U_3=I_3R_3=\dfrac{2}{3}.4=\dfrac{8}{3}V\)

Mặt khác ta lại có: \(U_3+U_{1,2}=6V\)

\(\Rightarrow U_{1,2}=U-U_3=6-\dfrac{8}{3}=\dfrac{10}{3}V\)

Do đó: \(R_{1,2}=\dfrac{U_{1,2}}{I_{1,2}}=\dfrac{\dfrac{10}{3}}{\dfrac{2}{3}}=5\Omega\)

Hay: \(\dfrac{R_1R_2}{R_1+R_2}=2\)

\(\Leftrightarrow\dfrac{6R_2}{6+R_2}=2\)

\(\Leftrightarrow6R_2=12+2R_2\)

\(\Leftrightarrow4R_2=12\Leftrightarrow R_2=3\Omega\)

Hình đâu bạn

a)
Ta có sơ đồ mạch điện 
( R2//R3)ntR1
Điện trở của đoạn mạch AB là 
R23 = 10*15/10+15=6Ω
R123 = Rtđ = 6 + 4 = 10Ω
 

a)CTM: \(R_1nt\left(\left(R_2ntR_3\right)//R_4\right)\)

\(R_{23}=R_2+R_3=7+5=12\Omega\)

\(R_{234}=\dfrac{R_{23}\cdot R_4}{R_{23}+R_4}=\dfrac{12\cdot11}{12+11}=\dfrac{132}{23}\Omega\)

\(R_{tđ}=R_1+R_{234}=3+\dfrac{132}{23}=\dfrac{201}{23}\Omega\)

b)\(I_1=I_{234}=I_{AB}=\dfrac{U_{AB}}{R_{AB}}=\dfrac{30}{\dfrac{201}{23}}=\dfrac{230}{67}A\approx3,4A\)

\(U_{23}=U_4=U-U_1=30-I_1\cdot R_1=30-\dfrac{230}{67}\cdot3=\dfrac{1320}{67}V\)

\(I_4=\dfrac{U_4}{R_4}=\dfrac{\dfrac{1320}{67}}{11}=\dfrac{120}{67}A\approx1,79A\)

\(I_2=I_3=I_{23}=\dfrac{U_{23}}{R_{23}}=\dfrac{\dfrac{1320}{67}}{12}=\dfrac{110}{67}A\approx1,64A\)