a. \(R=\dfrac{R1\cdot\left(R2+R3\right)}{R1+R2+R3}=\dfrac{6\cdot\left(2+4\right)}{6+2+4}=3\Omega\)
b. \(U=U1=U23=IR=2.3=6V\left(R1\backslash\backslash R23\right)\)
c. \(I1=U1:R1=6:6=1A\)
\(\rightarrow I23=I2=I3=I-I1=2-1=1A\left(R2ntR3\right)\)
\(\rightarrow\left\{{}\begin{matrix}U2=I2\cdot R2=1.2=2V\\U3=I3\cdot R3=1.4=4V\end{matrix}\right.\)
\(\Rightarrow\left\{{}\begin{matrix}P1=U1\cdot I1=6\cdot1=6\\P2=U2\cdot I2=2.1=2\\P3=U3\cdot I3=4\cdot1=4\end{matrix}\right.\)(W)
\(R_{23}=R_2+R_3=2+4=6\Omega\)
a)\(R_{tđ}=\dfrac{R_1\cdot R_{23}}{R_1+R_{23}}=\dfrac{6\cdot6}{6+6}=3\Omega\)
b)\(U=R\cdot I=3\cdot2=6V\)
c)\(U_1=U_{23}=U_m=6V\)
\(P_1=\dfrac{U^2_1}{R_1}=\dfrac{6^2}{6}=6W\)
\(I_2=I_3=I_{23}=\dfrac{U_{23}}{R_{23}}=\dfrac{6}{6}=1A\)
\(P_2=U_2\cdot I_2=R_2\cdot I^2_2=2\cdot1^2=2W\)
\(P_3=R_3\cdot I_3^2=4\cdot1^2=4W\)
