Câu hỏi 3

Ta có: \(H = 1 - \dfrac{{{P_{hp}}}}{P} = \dfrac{{{P_{tt}}}}{{{P_{tt}} + {P_{hp}}}}\)

\( \Rightarrow {P_{hp}} = \dfrac{{1 - H}}{H}{P_{tt}}\)

Lại có: \({P_{hp}} = \dfrac{{{P^2}}}{{{{\left( {Ucos\varphi } \right)}^2}}}R\)

\( \Rightarrow {U^2} = \dfrac{{{P_{tt}}}}{{H\left( {1 - H} \right)co{s^2}\varphi }}R\)

Xét trong hai trường hợp: \({U_1}\) và \({U_2}\)

Ta có: \(\dfrac{{U_1^2}}{{U_2^2}} = \dfrac{{{H_2}\left( {1 - {H_2}} \right)}}{{{H_1}\left( {1 - {H_1}} \right)}} = \dfrac{{0,9\left( {1 - 0,9} \right)}}{{0,64\left( {1 - 0,64} \right)}} = \dfrac{{25}}{{64}}\)

\( \Rightarrow {U_2} = \dfrac{8}{5}{U_1} = 8kV\)

Chọn C