Question

Answer 1

CTM: \(R_1nt\left\{R_2//\left[R_3nt\left(R_4//\left(R_5ntR_6\right)\right)\right]\right\}\)

\(R_{56}=R_5+R_6=10+10=20\Omega\)

\(R_{456}=\dfrac{R_4\cdot R_{56}}{R_4+R_{56}}=\dfrac{10\cdot20}{10+20}=\dfrac{20}{3}\Omega\)

\(R_{3456}=R_3+R_{456}=10+\dfrac{20}{3}=\dfrac{50}{3}\Omega\)

\(R_{23456}=\dfrac{R_2\cdot R_{3456}}{R_2+R_{3456}}=\dfrac{10\cdot\dfrac{50}{3}}{10+\dfrac{50}{3}}=6,25\Omega\)

\(R_{tđ}=R_1+R_{23456}=10+6,25=16,25\Omega\)

b)\(I_1=1,5A\Rightarrow I_{mạch}=1,5A\)

\(U_{mạch}=I_{mạch}\cdot R_{tđ}=1,5\cdot16,25=24,375V\)