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CTM: \((R_1nt(R_3//R_4))//R_2\)
\(R_{34}=\dfrac{R_3\cdot R_4}{R_3+R_4}=\dfrac{6\cdot2}{6+2}=\dfrac{3}{2}\Omega\)
\(R_{134}=R_1+R_{34}=6+1,5=7,5\Omega\)
\(R_{tđ}=\dfrac{R_{134}\cdot R_2}{R_{134}+R_2}=\dfrac{7,5\cdot6}{7,5+6}=\dfrac{10}{3}\Omega\)
\(I_{34}=I_{134}=\dfrac{U_{134}}{R_{134}}=\dfrac{U_{AB}}{R_{134}}=\dfrac{18}{7,5}=2,4A\)
\(U_3=U_4=U_{34}=I_{34}\cdot R_{34}=2,4\cdot1,5=3,6V\)
\(I_A=I_3=\dfrac{U_3}{R_3}=\dfrac{3,6}{6}=0,6A\)
\(Ia=I12=4A\)
\(Ia1=I1=1A\)
\(=>Ia2=Ia-Ia1=3A\)
\(=>Uv=U2=U1=I2.R2=60\left(V\right)=>R1=\dfrac{U1}{I1}=60\left(om\right)\)
a, R1 nt R5 nt{R2//(R3ntR4)}
\(=>U34=U-U1-U5=7,2-Ia\left(R1+R5\right)=1,2V=U2\)
\(=>I34=Ia-I2=>\dfrac{U34}{R3+R4}=0,5-\dfrac{1,2}{R2}=>\dfrac{1,2}{3+R3}=\dfrac{1}{5}=>R3=3\Omega\)
b, =>R5 nt {R3//{R2 nt ( R1//R4)}} lay R3=3(om)
\(=>Ia=I1+I3+I4\)
\(=>U3=U124=U-U5=7,2-Im.R5=7,2-\dfrac{U}{rtd}.R5=7,2-\dfrac{7,2.6}{R5+\dfrac{R3\left\{R2+\dfrac{R4.R1}{R4+R1}\right\}}{R3+R2+\dfrac{R4.R1}{R4+R1}}}=1,8V\)
\(=>I214=I14=\dfrac{1,8}{R124}=0,3A=>U4=U1=I14.R14=0,6V\)
\(=>Ia=\dfrac{1,8}{3}+\dfrac{0,6}{6}+\dfrac{0,6}{3}=0,9A\)
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