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a,\(R1nt\left(R2//R3\right)=>Rtd=R1+\dfrac{R2R3}{R2+R3}=4+\dfrac{6.3}{6+3}=6\left(om\right)\)
b,\(=>I1=I23=\dfrac{Uab}{Rtd}=\dfrac{9}{6}=1,5A\)
\(=>U23=I23.R23=1,5.\dfrac{6.3}{6+3}=3V=U2=U3\)
\(=>I2=\dfrac{U2}{R2}=\dfrac{3}{6}=0,5A,=>I3=\dfrac{U3}{R3}=\dfrac{3}{3}=1A\)
c,\(=>Im=Ix=I23=\dfrac{1}{3}.1,5=0,5A\)
\(=>RTd=Rx+\dfrac{R2.R3}{R2+R3}=Rx+\dfrac{6.3}{6+3}=\dfrac{U}{Im}=\dfrac{9}{0,5}=18\)
\(=>Rx=16\left(om\right)\)
Điện trở tương đương: \(R=\dfrac{\left(R1+R2\right)R3}{R1+R2+R3}=\dfrac{\left(15+25\right)10}{15+25+10}=8\Omega\)
\(U=U12=U3=12V\)(R12//R3)
\(I=U:R=12:8=1,5A\)
\(I3=U3:R3=12:10=1,2A\)
\(R1ntR2\Rightarrow I12=I1=I2\)
Mà: \(I12=I-I3=1,5-1,2=0,3A\)
\(\Rightarrow I12=I1=I2=0,3A\)
a. Vì \(R_1ntR_2\) nên \(R_{12}=R_1+R_2=15+25=40\left(\text{Ω}\right)\)
Vì \(R_{12}//R_3\) nên \(\dfrac{1}{R_{td}}=\dfrac{1}{R_{12}}+\dfrac{1}{R_3}\Rightarrow R_{td}=\dfrac{R_{12}.R_3}{R_{12}+R_3}=\dfrac{40.10}{40+10}=8\left(\text{Ω}\right)\)
b. Ta có \(I=\dfrac{U}{R_{td}}=\dfrac{12}{8}=1,5\left(A\right)\)
mà \(U_{12}=U_3\Leftrightarrow R_{12}.I_{12}=R_3.I_3\Leftrightarrow40I_{12}=10I_3\Leftrightarrow I_3=4I_{12}\) (1)
mặt khác, ta có \(I=I_{12}+I_3\) (2)
Từ (1) và (2) \(\Rightarrow I_{12}+4I_{12}=1,5\Rightarrow I_{12}=0,3\left(A\right)\)
\(\Rightarrow I_3=I-I_{12}=1,5-0,3=1,2\left(A\right)\)
c. Ta có \(R_{td'}=\dfrac{R_{2x}.R_3}{R_{2x}+R_3}=\dfrac{\left(25+R_x\right)10}{R_x+25+10}=\dfrac{250+10R_x}{35+R_x}=7,5\left(\text{Ω}\right)\)
\(\Rightarrow R_x=5\left(\text{Ω}\right)\)
Bạn chụp thêm hình vẽ nữa chứ không biết mắc song song hay nối tiếp để làm
\(\Rightarrow\left\{{}\begin{matrix}a,R1//\left(R2ntR3\right)\Rightarrow Rtd=\dfrac{R1\left(R2+R3\right)}{R1+R2+R3}=6\Omega\\b,\Rightarrow\left\{{}\begin{matrix}U=U1=U23=24V\Rightarrow I1=\dfrac{U1}{R1}=\dfrac{8}{3}A\\I2=I3=\dfrac{U23}{R2+R3}=\dfrac{4}{3}A\\U2=I2.R2=8V\\U3=U-U2=16V\end{matrix}\right.\\c,R1//\left(R2ntRx\right)\Rightarrow Im=1,5.\dfrac{24}{6}=6A\\\Rightarrow Rtd=\dfrac{R1\left(R2+Rx\right)}{R1+R2+Rx}=\dfrac{9\left(6+Rx\right)}{15+Rx}=\dfrac{24}{Im}=4\left(\Omega\right)\Rightarrow Rx=1,2\Omega\end{matrix}\right.\)
\(a.R_{tđ}=R_1+R_2=4+6=10\Omega\\ b.R_{tđ}'=R_1+\dfrac{R_2.R_3}{R_2+R_3}=4+\dfrac{6.12}{6+12}=8\Omega\\ I=\dfrac{U_{AB}}{R_{tđ}'}=\dfrac{18}{8}=2,25A\\ Vì.R_1ntR_{23}\\ \Rightarrow I=I_1=I_{23}=2,25A\\ U_1=I_1.R_1=4.2,25=9V\\ U_{23}=U_{AB}-U_1=18-9=9V\\ Vì.R_2//R_3\Rightarrow U_{23}=U_2=U_3=9V\\ I_3=\dfrac{U_3}{R_3}=\dfrac{9}{12}=0,75A\)
a) \(R_1ntR_2\Rightarrow R_{tđ}=R_1+R_2=4+6=10\Omega\)
\(I_m=\dfrac{U}{R_{tđ}}=\dfrac{18}{10}=1,8A\)
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)\(I_m=\dfrac{U}{R_{tđ}}=\dfrac{18}{8}=2,25A\)
\(R_1nt\left(R_2//R_3\right)\Rightarrow I_{23}=I_1=I_m=2,25A\)
\(U_{23}=I_{23}\cdot R_{23}=2,25\cdot4=9V\Rightarrow U_3=9V\)
\(I_3=\dfrac{U_3}{R_3}=\dfrac{9}{12}=0,75A\)
(R1 nt R2)//(R3 nt Rx)
a,\(=>Rtd=\dfrac{\left(R1+R2\right)\left(R3+Rx\right)}{R1+R2+R3+Rx}=\dfrac{\left(12+8\right)\left(16+14\right)}{12+8+16+14}=12\Omega\)
\(=>Im=\dfrac{Um}{Rtd}=\dfrac{48}{12}=4A\)
b, \(=>Ix=Ix3,,,I1=I12\)(gọi điện trở Rx là y(ôm)
theo bài ra \(=>Ix=\dfrac{1}{3}I1=>I3x=\dfrac{1}{3}I12=>I12=3I1x\)
\(=>\dfrac{U12}{R1+R2}=3.\dfrac{U3x}{R3+y}=>\dfrac{48}{12+8}=\dfrac{3.48}{16+y}=>y=44\Omega=>Rx=44\Omega\)
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