Theo bài ta ta có \({I_1} = {I_2} = 0,4A\) ; \({Z_1} = {Z_2} = 500\Omega\)

\({Z_1} = {Z_2} \Leftrightarrow {\left( {{Z_{{L_1}}} - {Z_{{C_1}}}} \right)^2} = {\left( {{Z_{{L_2}}} - {Z_{{C_2}}}} \right)^2} \Leftrightarrow {\left( {{\omega _1}{L_1} - \frac{1}{{{\omega _1}{C_1}}}} \right)^2} = {\left( {{\omega _2}{L_2} - \frac{1}{{{\omega _2}{C_2}}}} \right)^2}\)

\(\Leftrightarrow {\omega _1}{\omega _2} = \frac{1}{{LC}} \Rightarrow C = \frac{1}{{L{\omega _1}{\omega _2}}} = \frac{{{{10}^{ - 4}}}}{{4\pi }}\left( F \right)\)

\({R^2} + {\left( {{Z_{{L_1}}} - {Z_{{C_1}}}} \right)^2} = {500^2} \Leftrightarrow {R^2} + {\left( {100 - 400} \right)^2} = {500^2} \Rightarrow R = 400\Omega\)

\(F\sim ;{i_{\max }} \Rightarrow ch \Rightarrow I = \frac{U}{R} = \frac{{200}}{{400}} = 0,5\left( A \right)\)