CTM: \(\left(R_1//R_2//R_3\right)ntR_4\)

\(\dfrac{1}{R_{123}}=\dfrac{1}{R_1}+\dfrac{1}{R_2}+\dfrac{1}{R_3}=\dfrac{1}{30}+\dfrac{1}{30}+\dfrac{1}{30}=\dfrac{1}{10}\Rightarrow R_{123}=10\Omega\)

\(R_{tđ}=R_{123}+R_4=10+15=25\Omega\)

\(I_1=0,5A\Rightarrow U_1=I_1\cdot R_1=0,5\cdot30=15V=U_{123}=U_2=U_3\)

\(I_m=I_4=I_{123}=\dfrac{U_{123}}{R_{123}}=\dfrac{15}{10}=1,5A\)

\(I_2=I_3=\dfrac{U_3}{R_3}=\dfrac{15}{30}=0,5A\)

\(U_{AC}=I_m\cdot R_{tđ}=1,5\cdot25=37,5V\)

Điện năng mạch tiêu thụ trong 10h:

\(A=UIt=37,5\cdot1,5\cdot10\cdot3600=2025000J=0,5625kWh\)

cho chị xin mạch điện nèo

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

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

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

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

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

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

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

cho mạch điện lại đi bạn

coi lai cach cho mach dien nha pn