Tính $f_1, f_2, \cos \phi_1$

chinhanh9

Member
Bài toán
Mạch $RLC$ có $CR^2 <2L$, $u=U_0 \cos \omega t$
$f=f_1: P==0,75 P_{max}$
$f_2=f_1 +100 Hz :U_{L_{max}}$
Tính $f_1,f_2, \cos \phi_1$
 
Công thức: $\cos \varphi _{1}=\cos \varphi _{2}=\sqrt{\dfrac{2f_{C}}{f_{C}+f_{L}}}$

$\rightarrow \cos \varphi _{1}=\cos \varphi _{2}=\sqrt{\dfrac{2f_{1}}{2f_{1}+100}}$

$\rightarrow \dfrac{\left(U\cos \varphi _{1}\right)^{2}}{R}=0,75\dfrac{U^{2}}{R}$

$\rightarrow \dfrac{2f_{1}}{2f_{1}+100}=0,75\rightarrow f_{1}=150,f_{2}=250$

$\rightarrow \cos \varphi _{1}=\cos \varphi _{2}=\dfrac{\sqrt{3}}{2}$
 

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