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- https://phys.libretexts.org/Bookshelves/Electricity_and_Magnetism/Electricity_and_Magnetism_(Tatum)/13%3A_Alternating_Current/13.03%3A_Complex_NumbersI am now going to repeat the analyses of Sections 13.1 and 13.2 using the notation of complex numbers. In the context of alternating current theory, the imaginary unit is customarily given the symbol ...I am now going to repeat the analyses of Sections 13.1 and 13.2 using the notation of complex numbers. In the context of alternating current theory, the imaginary unit is customarily given the symbol jj rather than ii , so that the symbol ii is available, if need be, for electric currents.
- https://phys.libretexts.org/Courses/Georgia_State_University/GSU-TM-Introductory_Physics_II_(1112)/08%3A_Electromagnetic_Induction_AC_Circuits_and_Electrical_Technologies/8.03%3A_Reactance_Inductive_and_Capacitive\[I = \dfrac{V}{X_L},\] where \(V\) is the rms voltage across the inductor and \(X_L\) is defined to be \[X_L = 2\pi fL,\] with \(f\) the frequency of the AC voltage source in hertz (An analysis of th...\[I = \dfrac{V}{X_L},\] where \(V\) is the rms voltage across the inductor and \(X_L\) is defined to be \[X_L = 2\pi fL,\] with \(f\) the frequency of the AC voltage source in hertz (An analysis of the circuit using Kirchhoff’s loop rule and calculus actually produces this expression). \(X_L\) is called the inductive reactance, because the inductor reacts to impede the current. \(X_L\) has units of ohms (\(1 \, H = 1 \, \Omega \cdot s\), so that frequency times inductance has units of (cycles/s…
- https://phys.libretexts.org/Bookshelves/College_Physics/College_Physics_1e_(OpenStax)/23%3A_Electromagnetic_Induction_AC_Circuits_and_Electrical_Technologies/23.02%3A_Reactance_Inductive_and_Capacitive\[I = \dfrac{V}{X_L},\] where \(V\) is the rms voltage across the inductor and \(X_L\) is defined to be \[X_L = 2\pi fL,\] with \(f\) the frequency of the AC voltage source in hertz (An analysis of th...\[I = \dfrac{V}{X_L},\] where \(V\) is the rms voltage across the inductor and \(X_L\) is defined to be \[X_L = 2\pi fL,\] with \(f\) the frequency of the AC voltage source in hertz (An analysis of the circuit using Kirchhoff’s loop rule and calculus actually produces this expression). \(X_L\) is called the inductive reactance, because the inductor reacts to impede the current. \(X_L\) has units of ohms (\(1 \, H = 1 \, \Omega \cdot s\), so that frequency times inductance has units of (cycles/s…
- https://phys.libretexts.org/Bookshelves/University_Physics/Physics_(Boundless)/22%3A_Induction_AC_Circuits_and_Electrical_Technologies/22.2%3A_AC_CircuitsInduction is the process in which an emf is induced by changing magnetic flux, such as a change in the current of a conductor.