[tex]i=I_{max}sin(\omega t+\varphi)(A)\\I_{max}=2\sqrt{2}A\\I_{max}=\sqrt{2}I=>I=\frac{I_{max}}{\sqrt{2}} =\frac{2\sqrt{2}}{\sqrt{2}}=2 A\\\omega=100\pi rad/s\\X_L=\omega L=100\pi*\frac{3}{100\pi}=3\Omega=>X_L=3 \Omega\\ Z^2=R^2+X_L^2=4^2+3^2=16+9=25=>Z=\sqrt{25}=5\Omega=>Z=5\Omega\\U_L=X_LI=3*2=6 V=>U_L=6 V\\U_R=R*I=4*2=8V=>U_R=8 V\\U^2=U_L^2+U_R^2=6^2+8^2=36+64=100=>U=\sqrt{100}=10 V=>U=10 V[/tex]
