\(R_{tđ}=\dfrac{R_1.R_2}{R_1+R_2}=\dfrac{5.10}{5+10}=\dfrac{10}{3}\left(\Omega\right)\)
\(U=U_1=U_2=15V\)
\(\left\{{}\begin{matrix}I=\dfrac{U}{R_{tđ}}=\dfrac{15}{\dfrac{10}{3}}=4,5\left(A\right)\\I_1=\dfrac{U_1}{R_1}=\dfrac{15}{5}=3\left(A\right)\\I_2=\dfrac{U_2}{R_2}=\dfrac{15}{10}=1,5\left(A\right)\end{matrix}\right.\)
\(P=U.I=15.4,5=67,5\left(W\right)\)
a. \(R=\dfrac{R1.R2}{R1+R2}=\dfrac{5.10}{5+10}=\dfrac{10}{3}\left(\Omega\right)\)
b. \(U=U1=U2=15V\)(R1//R2)
\(\left\{{}\begin{matrix}I1=U1:R1=15:5=3A\\I2=U2:R2=15:10=1,5A\end{matrix}\right.\)
c. \(\left\{{}\begin{matrix}P_m=U_mI_m=15.\left(3+1,5\right)=67,5\\P1=U1.I1=15.3=45\\P2=U2.I2=15.1,5=22,5\end{matrix}\right.\)(W)