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12.1: Traveling Waves
https://phys.libretexts.org/Bookshelves/University_Physics/University_Physics_I_-_Classical_Mechanics_(Gea-Banacloche)/12%3A_Waves_in_One_Dimension/12.01%3A_Traveling_Waves
If we think of the momentum of a volume element in the medium as being proportional to the product of the instantaneous density and velocity, we see that for this wave, which is traveling in the posit...If we think of the momentum of a volume element in the medium as being proportional to the product of the instantaneous density and velocity, we see that for this wave, which is traveling in the positive $x$ direction, there is more “positive momentum” than “negative momentum” in the medium at any given time (of course, if the wave had been traveling in the opposite direction, the sign of $v_{med}$ in Equation ( $\ref{eq:12.6}$ ) would have been negative, and we would have found the opposite re…
13.3: Complex Numbers
https://phys.libretexts.org/Bookshelves/Electricity_and_Magnetism/Electricity_and_Magnetism_(Tatum)/13%3A_Alternating_Current/13.03%3A_Complex_Numbers
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 ...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.
10.3: Antenna gain, effective area, and circuit properties
https://phys.libretexts.org/Bookshelves/Electricity_and_Magnetism/Electromagnetics_and_Applications_(Staelin)/10%3A_Antennas_and_Radiation/10.03%3A_Antenna_gain_effective_area_and_circuit_properties
This page covers the fundamentals of antenna directivity, gain, and impedance, focusing on short dipole antennas. It defines key relationships between gain, radiation resistance, and the effective are...This page covers the fundamentals of antenna directivity, gain, and impedance, focusing on short dipole antennas. It defines key relationships between gain, radiation resistance, and the effective area, employing Thevenin equivalents to analyze antenna circuits. The reciprocity principle is emphasized, detailing how transmitted power impacts received power across distances.
10.10: Application - RLC Series Circuits with AC
https://phys.libretexts.org/Courses/Kettering_University/Electricity_and_Magnetism_with_Applications_to_Amateur_Radio_and_Wireless_Technology/10%3A_Inductance/10.10%3A_Application_-_RLC_Series_Circuits_with_AC
An RLC series circuit is a series combination of a resistor, capacitor, and inductor connected across an ac source.
13.4: Resistance and Inductance in Series
https://phys.libretexts.org/Bookshelves/Electricity_and_Magnetism/Electricity_and_Magnetism_(Tatum)/13%3A_Alternating_Current/13.04%3A_Resistance_and_Inductance_in_Series
The impedance is just the sum of the resistance of the resistor and the impedance of the inductor.
14.10: Generalized Impedance
https://phys.libretexts.org/Bookshelves/Electricity_and_Magnetism/Electricity_and_Magnetism_(Tatum)/14%3A_Laplace_Transforms/14.10%3A_Generalized_Impedance
If we suppose that the applied voltage $V$ is varying sinusoidally (that is, $V=\hat{V}e^{j\omega t}$ , or, if you prefer, $V=\hat{V}\sin \omega t$ ), then the operator $d^2/dt^2$ , or "double do...If we suppose that the applied voltage $V$ is varying sinusoidally (that is, $V=\hat{V}e^{j\omega t}$ , or, if you prefer, $V=\hat{V}\sin \omega t$ ), then the operator $d^2/dt^2$ , or "double dot", is equivalent to multiplying by $-\omega ^2$ , and the operator $d/dt$ , or "dot", is equivalent to multiplying by $j\omega$ . This is so regardless of the form of the variation of $V$ : it could be sinusoidal, it could be constant, or it could be something quite different.
8.3: Distortions due to loss and dispersion
https://phys.libretexts.org/Bookshelves/Electricity_and_Magnetism/Electromagnetics_and_Applications_(Staelin)/08%3A_Fast_electronics_and_transient_behavior_on_TEM_lines/8.03%3A_Distortions_due_to_loss_and_dispersion
This page discusses the challenges posed by lossy transmission lines in electronics due to resistance and leakage, affecting signal integrity, particularly in integrated circuits. Key concepts include...This page discusses the challenges posed by lossy transmission lines in electronics due to resistance and leakage, affecting signal integrity, particularly in integrated circuits. Key concepts include the telegraphers' equations, frequency-dependent propagation, and the balance of R/L and G/C.
24.1: Traveling Waves
https://phys.libretexts.org/Courses/Merrimack_College/Conservation_Laws_Newton's_Laws_and_Kinematics_version_2.0/24%3A_Waves_in_One_Dimension/24.01%3A_Traveling_Waves
If we think of the momentum of a volume element in the medium as being proportional to the product of the instantaneous density and velocity, we see that for this wave, which is traveling in the posit...If we think of the momentum of a volume element in the medium as being proportional to the product of the instantaneous density and velocity, we see that for this wave, which is traveling in the positive $x$ direction, there is more “positive momentum” than “negative momentum” in the medium at any given time (of course, if the wave had been traveling in the opposite direction, the sign of $v_{med}$ in Equation ( $\ref{eq:12.6}$ ) would have been negative, and we would have found the opposite re…
7.1: TEM Waves on Structures
https://phys.libretexts.org/Bookshelves/Electricity_and_Magnetism/Electromagnetics_and_Applications_(Staelin)/07%3A_TEM_transmission_lines/7.01%3A_TEM_waves_on_structures
This page explores the behavior and properties of transverse electromagnetic (TEM) transmission lines, focusing on their characteristic impedance, coupling of electric and magnetic fields, and wave pr...This page explores the behavior and properties of transverse electromagnetic (TEM) transmission lines, focusing on their characteristic impedance, coupling of electric and magnetic fields, and wave propagation. It discusses equations for voltage and current derived from inductance and capacitance, emphasizing lossless conditions and the effects of geometry on performance.
15.4: RLC Series Circuits with AC
https://phys.libretexts.org/Bookshelves/University_Physics/University_Physics_(OpenStax)/University_Physics_II_-_Thermodynamics_Electricity_and_Magnetism_(OpenStax)/15%3A_Alternating-Current_Circuits/15.04%3A_RLC_Series_Circuits_with_AC
An RLC series circuit is a series combination of a resistor, capacitor, and inductor connected across an ac source.
20.5: RC Circuits
https://phys.libretexts.org/Bookshelves/University_Physics/Physics_(Boundless)/20%3A_Circuits_and_Direct_Currents/20.5%3A_RC_Circuits
An RC circuit has a resistor and a capacitor and when connected to a DC voltage source, and the capacitor is charged exponentially in time.

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