已知某正弦电压u的角频率ω=100rad/s,初相角为=60°,当t=0.02s时,其瞬时值为5.79V。试写出u(t)的瞬时表达式及幅值相量。
u(t)的表达式为u(t)=Umsin(100t-60°) 由题给条件确定Um:当t=0.0 2 s时 U(0.02)=Umsin(1 00×0.02-60°) =Um sin(114.6°-60°)=5.79V ∴Um=5.79/[sin(54.6°)]=7.1V u(t)=7.1sin(100t-60°)V 幅值相量Um=7.1∠-60°V
已知某正弦电压u的角频率ω=100rad/s,初相角为=60°,当t=0.02s时,其瞬时值为5.79V。试写出u(t)的瞬时表达式及幅值相量。
u(t)的表达式为u(t)=Umsin(100t-60°) 由题给条件确定Um:当t=0.0 2 s时 U(0.02)=Umsin(1 00×0.02-60°) =Um sin(114.6°-60°)=5.79V ∴Um=5.79/[sin(54.6°)]=7.1V u(t)=7.1sin(100t-60°)V 幅值相量Um=7.1∠-60°V