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a)Khóa K mở: \(R_1ntR_2\)
\(R_{12}=R_1+R_2=9+9=18\Omega\)
\(I=\dfrac{U}{R}=\dfrac{30}{18}=\dfrac{5}{3}A\)
b)Khóa K đóng: \(R_1nt\left(R_2//R_3\right)\)
\(R_{23}=\dfrac{R_2\cdot R_3}{R_2+R_3}=\dfrac{9\cdot18}{9+18}=6\Omega\)
\(R_{tđ}=R_1+R_{23}=9+6=15\Omega\)
\(I=\dfrac{U}{R}=\dfrac{30}{15}=2A\)
R1 n t (R2//R3//R4)
a,\(=>\dfrac{1}{R234}=\dfrac{1}{R2}+\dfrac{1}{R3}+\dfrac{1}{R4}=>R234=10\left(om\right)\)
\(=>Rmp=R1+R234=25\left(ôm\right)\)
b
ta thấy R2=R3=R4 mà U2=U3=U4
=>I2=I3=I4=0,5A
\(=>I1=I2+I3+I4=1,5A\)
c,\(U2=U3=U4=I2.R2=15V\)
\(U1=I1.R1=22,5V=>Ump=U1+U2=37,5V\)
a. \(R=R1+\left(\dfrac{R2.R3}{R2+R3}\right)=60+\left(\dfrac{60.120}{60+120}\right)=100\left(\Omega\right)\)
b. \(I=I1=I23=U:R=120:100=1,2A\left(R1ntR23\right)\)
\(U1=I1.R1=1,2.60=72V\)
\(U2=U3=U23=U-U1=120-72=48\left(V\right)\)(R1//R2)
\(\left[{}\begin{matrix}I2=U2:R2=48:60=0,8A\\I3=U3:R3=48:120=0,4A\end{matrix}\right.\)
\(R_1ntR_2ntR_3\Rightarrow R_{tđ}=R_1+R_2+R_3=10+15+25=50\Omega\)
\(I=I_{AC}=\dfrac{U_{AC}}{R_{AC}}=\dfrac{60}{50}=1,2A\)