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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. \(\left\{{}\begin{matrix}I1=U1:R1=20:5=4A\\I2=U2:R2=20:10=2A\\I3=U3:R3=20:15=\dfrac{4}{3}A\\I4=U4:R4=20:20=1A\end{matrix}\right.\)