1.
u=Ri=>i=u/R=220√2sin(100πt+π/6)/400=0,55√2sin(100πt+π/6) (A)
Imax=I√2=0,55*1,41=0,7755 A=775,5 mA
i₁=u/R₁=220√2sin(100πt+π/6)/11=20√2sin(100πt+π/6) (A)
I₁max=I₁√2=20*1,41=28,2 A
I₁=I₁max/√2=28,2/1,41=20 A
2.i=2√2sin(100πt+π/5) (A)
I=2 A;Imax=2*1,41=2,82 A;ω=100π rad/s
X_L=ωL=100π*3/100π=3 Ω
U²=U_R²+U_L²=>Z=R²+X_L²=>Z=√(R²+X_L²)=√(4²+3²)=√(16+9)=√25=5 Ω
U_R=RI=4*2=8 V
U_L=X_L*I=3*2=6 V
U=ZI=5*2=10 V
tgφ=U_L/U_R=3/4=0,75=>φ=arctg(0,75)=>u=U√2sin(ωt+φo+arctg(0,75))=10√2sin(100πt+π/5+arctg(0,75)) (V)
