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\(=>\dfrac{R1}{R2}=\dfrac{l1}{l2}=>\dfrac{20}{R2}=\dfrac{3}{6}=>R2=\dfrac{20.6}{3}=40\Omega\)
Bài 3:
Khi mắc nối tiếp:
\(R_{tđ}=R_1+R_2+R_3+R_4=5+10+15+20=50\left(\Omega\right)\)
\(I=I_1=I_2=I_3=I_4=\dfrac{U}{R_{tđ}}=\dfrac{20}{50}=0,4\left(A\right)\)
\(\left\{{}\begin{matrix}U_1=I_1.R_1=0,4.5=2\left(V\right)\\U_2=I_2.R_2=0,4.10=4\left(V\right)\\U_3=I_3.R_3=0,4.15=6\left(V\right)\\U_4=I_4.R_4=0,4.20=8\left(V\right)\end{matrix}\right.\)
Khi mắc song song:
\(\dfrac{1}{R_{tđ}}=\dfrac{1}{R_1}+\dfrac{1}{R_2}+\dfrac{1}{R_3}+\dfrac{1}{R_4}=\dfrac{1}{5}+\dfrac{1}{10}+\dfrac{1}{15}+\dfrac{1}{20}=\dfrac{5}{12}\)
\(\Rightarrow R_{tđ}=2,4\left(\Omega\right)\)
\(U=U_1=U_2=U_3=U_4=20V\)
\(\left\{{}\begin{matrix}I_1=\dfrac{U_1}{R_1}=\dfrac{20}{5}=4\left(A\right)\\I_2=\dfrac{U_2}{R_2}=\dfrac{20}{10}=2\left(A\right)\\I_3=\dfrac{U_3}{R_3}=\dfrac{20}{15}=\dfrac{4}{3}\left(A\right)\\I_4=\dfrac{U_4}{R_4}=\dfrac{20}{20}=1\left(A\right)\end{matrix}\right.\)
BÀI 3:
NỐI TIẾP:
a. \(R=R1+R2+R3+R4=5+10+15+20=50\Omega\)
b. \(I=I1=I2=I3=I4=\dfrac{U}{R}=\dfrac{20}{50}=0,4A\left(R1ntR2ntR3ntR4\right)\)
c. \(\left\{{}\begin{matrix}U1=I1.R1=0,4.5=2A\\U2=I2.R2=0,4.10=4A\\U3=I3.R3=0,4.15=6V\\U4=I4.R4=0,4.20=8V\end{matrix}\right.\)
SONG SONG:
a. \(\dfrac{1}{R}=\dfrac{1}{R1}+\dfrac{1}{R2}+\dfrac{1}{R3}+\dfrac{1}{R4}=\dfrac{1}{5}+\dfrac{1}{10}+\dfrac{1}{15}+\dfrac{1}{20}=\dfrac{5}{12}\Rightarrow R=2,4\Omega\)
c. \(U=U1=U2=U3=U4=20V\left(R1\backslash\backslash\mathbb{R}2\backslash\backslash\mathbb{R}3\backslash\backslash R4\right)\)
b. \(\left\{{}\begin{matrix}I1=U1:R1=20:5=4A\\I2=U2:R2=20:10=2A\\I3=U3:R3=20:15=\dfrac{4}{3}A\\I4=U4:R4=20:20=1A\end{matrix}\right.\)
5, chắc đồng chất cùng S
\(=>\dfrac{R1}{R2}=\dfrac{l1}{l2}=>\dfrac{l1}{l2}=\dfrac{6R2}{R2}=6=>l1=6R2\)
=>chiều dài dây 1 lớn hơn và gấp 6 lần dây 2
b,\(=>\dfrac{l1}{l2}=6=>\dfrac{l1}{35-l1}=6=>l1=30m=>l2=5m\)
6\(=>\),\(l1=4l2\),
\(=>\dfrac{R1}{R2}=\dfrac{\dfrac{pl1}{S1}}{\dfrac{pl2}{S2}}=\dfrac{l1}{l2}=4=>R1=4R2=>R1>R2\)
\(=>\dfrac{U}{R1}< \dfrac{U}{R2}=>I1< I2\)=>dd qua dây 1 nhỏ hơn qua dây2
7, \(=>\dfrac{R1}{R2}=\dfrac{l1}{l2}=\dfrac{3}{2}=1,5=>R1=1,5R2\)
\(=>\left(1-R2\right)=1,5R2=>R2=0,4\Omega=>R1=0,6\Omega\)
Bài 3:
\(MCD:R1nt\left(R2//R3\right)\)
\(=>R=R1+\dfrac{R2\cdot R3}{R2+R3}=30+\dfrac{15\cdot10}{15+10}=36\Omega\)
\(I=I1=I23=\dfrac{U}{R}=\dfrac{24}{36}=\dfrac{2}{3}A\)
\(U23=U2=U3=I23\cdot R23=\dfrac{2}{3}\cdot\dfrac{15\cdot10}{15+10}=4V=>\left\{{}\begin{matrix}I2=U2:R2=4:15=\dfrac{4}{15}A\\I3=\dfrac{U3}{R3}=4:10=\dfrac{2}{5}A\end{matrix}\right.\)
\(A=UIt=24\cdot\dfrac{2}{3}\cdot5\cdot60=4800J\)