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    • https://phys.libretexts.org/Bookshelves/Waves_and_Acoustics/The_Physics_of_Waves_(Goergi)/01%3A_Harmonic_Oscillation/1.04%3A_Complex_Numbers
      To divide a complex number z by a real number r is easy, just divide both the real and the imaginary parts by r to get z/r=a/r+ib/r. To divide by a complex number, z, we can u...To divide a complex number z by a real number r is easy, just divide both the real and the imaginary parts by r to get z/r=a/r+ib/r. To divide by a complex number, z, we can use the fact that zz=|z|2 is real.
    • https://phys.libretexts.org/Courses/Prince_Georges_Community_College/PHY_2030%3A_General_Physics_II/19%3A_Electric_Current_and_Resistance/19.5%3A_Alternating_Currents
      Phasors are used to analyze electrical systems in sinusoidal steady state and with a uniform angular frequency.
    • https://phys.libretexts.org/Bookshelves/Classical_Mechanics/Classical_Mechanics_(Dourmashkin)/23%3A_Simple_Harmonic_Motion/23.09%3A_Appendix_23B_-_Complex_Numbers
      z3=z1z2=(x1+iy1)(x2+iy2)=(x1x2y1y2)+i(x1y2+x2y1)=x3+iy3 \[z_{1}+z_{2}=\left|z_{1}...z3=z1z2=(x1+iy1)(x2+iy2)=(x1x2y1y2)+i(x1y2+x2y1)=x3+iy3 z1+z2=|z1|eiϕ1+|z2|eiϕ1=(|z1|+|z2|)eiϕ1 z1z2=|z1|eiϕ1|z2|eiϕ2=|z1z2|eiϕ1+ϕ2
    • https://phys.libretexts.org/Bookshelves/Electricity_and_Magnetism/Electromagnetics_and_Applications_(Staelin)/14%3A_Appendices/14.02%3A_Complex_Numbers_and_Sinusoidal_Representation
      \[\operatorname{Acos}(\omega \mathrm{t}+\phi)=\mathrm{R}_{\mathrm{e}}\left\{\mathrm{Ae}^{\mathrm{j}(\omega \mathrm{t}+\phi)}\right\}=\mathrm{R}_{\mathrm{e}}\left\{\mathrm{Ae}^{\mathrm{j} \phi} \mathrm...Acos(ωt+ϕ)=Re{Aej(ωt+ϕ)}=Re{Aejϕejωt}=Re{Aejωt}=ArcosωtAisinωt
    • https://phys.libretexts.org/Bookshelves/University_Physics/Physics_(Boundless)/19%3A_Electric_Current_and_Resistance/19.5%3A_Alternating_Currents
      Phasors are used to analyze electrical systems in sinusoidal steady state and with a uniform angular frequency.

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