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a, \(I_1=I_3=2I_2\)
\(I_2=\dfrac{7,8}{12}=0,65\left(A\right)\) \(\Rightarrow I_3=I_1=1,3\left(A\right)\)
\(\Rightarrow U_3=7,8-U_1=7,8-1,3.4=2,6\left(V\right)\)
\(\Rightarrow R_3=\dfrac{2,6}{1,3}=2\left(\Omega\right)\)
b, k đóng ta có mạch (R1//R2)nt(R3//R4)
\(\Rightarrow R_{tđ}=\dfrac{4.6}{10}+\dfrac{2.6}{8}=3,9\left(\Omega\right)\)
\(\Rightarrow I_k=\dfrac{7,8}{3,9}=2\left(A\right)\)
\(\Rightarrow U_{12}=\dfrac{4.6}{10}=2,4\left(V\right)\)
\(\Rightarrow U_{34}=2.1,5=3\left(V\right)\)
\(\Rightarrow I_1=\dfrac{2,4}{4}=0,6\left(A\right);I_2=\dfrac{2,4}{6}=0,4\left(A\right)\)
\(\Rightarrow I_3=\dfrac{3}{2}=1,5\left(A\right);I_4=\dfrac{3}{6}=0,5\left(A\right)\)
a) điện trở tương đương của đoạn mạch
Rtđ = R1 + R2 =10 + 20= 30 (Ω)
Cường độ dòng điện chạy qua đoạn mạch
I = \(\dfrac{U}{Rtđ}=\dfrac{6}{30}=0,2\left(A\right)\)
a) \(R_{tđ}=\dfrac{1}{\dfrac{1}{R_1}+\dfrac{1}{R_2}+\dfrac{1}{R_3}}=\dfrac{1}{\dfrac{1}{3}+\dfrac{1}{6}+\dfrac{1}{4}}=\dfrac{1}{\dfrac{3}{4}}=\dfrac{4}{3}\left(\Omega\right)\)
b) Do mắc song song nên \(U=U_1=U_2=U_3=12V\)
\(\left\{{}\begin{matrix}I_1=\dfrac{U_1}{R_1}=\dfrac{12}{3}=4\left(A\right)\\I_2=\dfrac{U_2}{R_2}=\dfrac{12}{6}=2\left(A\right)\\I_3=\dfrac{U_3}{R_3}=\dfrac{12}{4}=3\left(A\right)\end{matrix}\right.\)
\(15p=0,25h;720\left(kJ\right)=0,2\left(kWh\right)=200\left(Wh\right)\)
a. \(A=Pt\Rightarrow P=\dfrac{A}{t}=\dfrac{200}{0,25}=800\left(W\right)\)
b. \(\left[{}\begin{matrix}P=UI\Rightarrow I=\dfrac{P}{U}=\dfrac{800}{220}=\dfrac{40}{11}\left(A\right)\\R=\dfrac{U}{I}=\dfrac{220}{\dfrac{40}{11}}=60,5\left(\Omega\right)\end{matrix}\right.\)
a, khi K mở \(=>\left(R1ntR2\right)\)\(nt\left(R4//R5\right)\)
A2 chỉ 0,5 A\(=>I4=I\left(A2\right)=0,5A=>U4=U5=I4.R4=0,5.80\)\(=40V\)
\(=>I5=\dfrac{U5}{R5}=\dfrac{40}{20}=2A=>I45=I4+I5=2+0,5=2,5A\)\(=Im=I12\)=>số chỉ ampe kế(A1)=2,5A
\(=>R12=R1+R2=4+4=8\left(Om\right)\)
\(=>U12=I12.R12=8.2,5=20V\)\(=>UAB=U12+U4=60V\)
b,khi đóng K\(=>R1nt\left\{[R2nt\left(R4//R5\right)]//R3\right\}\)
\(=>R245=R2+\dfrac{R4.R5}{R4+R5}=4+\dfrac{80.20}{80+20}=20\left(om\right)\)
\(=>R2345=\dfrac{R3.R245}{R3+R345}=\dfrac{5.20}{5+20}=4\left(om\right)\)
\(=>Rtd=R1+R2345=4+4=8\left(om\right)\)
\(=>Im=\dfrac{UAB}{Rtd}=\dfrac{60}{8}=7,5A=I1=I2345\)
\(=>A1\) chỉ 7,5 A
\(=>U2345=I2345.R2345=7,5.4=30V\)\(=U245=U3\)
\(=>I245=\dfrac{U245}{R245}=\dfrac{30}{20}=1,5A=I45\)
\(=>U45=I45.R45=16.1,5=24V=U4\)
\(=>I4=\dfrac{U4}{R4}=\dfrac{24}{80}=0,3A\)\(=>A2\) chỉ 0,3A