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- https://phys.libretexts.org/Bookshelves/Electricity_and_Magnetism/Book%3A_Applications_of_Maxwells_Equations_(Cochran_and_Heinrich)/11%3A_Transmission_Lines/11.05%3A_A_Terminated_LineEventually the current through the inductor builds up to a steady state value and the voltage drop across the inductor becomes zero; at this point the inductor looks like a short circuit so that the r...Eventually the current through the inductor builds up to a steady state value and the voltage drop across the inductor becomes zero; at this point the inductor looks like a short circuit so that the reflected voltage pulse amplitude is V R = −V 0 . The time variation of the reflected voltage pulse is
- https://phys.libretexts.org/Bookshelves/Electricity_and_Magnetism/Book%3A_Applications_of_Maxwells_Equations_(Cochran_and_Heinrich)/03%3A_Electrostatic_Field_II/3.01%3A_IntroductionThe boundary conditions may be of three different types: (1) the potential on each conductor is specified; (2) the total charge on each conductor is specified; (3) the potential on some of the conduct...The boundary conditions may be of three different types: (1) the potential on each conductor is specified; (2) the total charge on each conductor is specified; (3) the potential on some of the conductors is specified and the total charge on the remaining conductors is specified.
- https://phys.libretexts.org/Bookshelves/Electricity_and_Magnetism/Book%3A_Applications_of_Maxwells_Equations_(Cochran_and_Heinrich)/11%3A_Transmission_LinesThumbnail: 3-phase high-voltage lines. (CC BY-SA 3.0; Jeffrey G. Katz via Wikipedia)
- https://phys.libretexts.org/Bookshelves/Electricity_and_Magnetism/Book%3A_Applications_of_Maxwells_Equations_(Cochran_and_Heinrich)/06%3A_FerromagnetismA description of the ferromagnetic state with an application to magnetic recording.
- https://phys.libretexts.org/Bookshelves/Electricity_and_Magnetism/Book%3A_Applications_of_Maxwells_Equations_(Cochran_and_Heinrich)/07%3A_Time_Dependent_Electromagnetic_Fields.Chapters 2-5 treated the problem of how to calculate electric and magnetic field distributions given time independent charge and current distributions. This chapter discusses the more general problem ...Chapters 2-5 treated the problem of how to calculate electric and magnetic field distributions given time independent charge and current distributions. This chapter discusses the more general problem of how to calculate electric and magnetic fields given time varying charge and current distributions. By way of example, the formalism is applied to the generation of radio waves by currents flowing in an antenna, and to the generation of light waves by oscillating atomic dipole moments.
- https://phys.libretexts.org/Bookshelves/Electricity_and_Magnetism/Book%3A_Applications_of_Maxwells_Equations_(Cochran_and_Heinrich)/05%3A_The_Magnetostatic_Field_II/5.03%3A_A_Discontinuity_in_the_PermeabilityThe field in the region on the left is ascribed to the real current I plus an image current I’ located the same distance, d, to the right of the interface as the real current is located to the left of...The field in the region on the left is ascribed to the real current I plus an image current I’ located the same distance, d, to the right of the interface as the real current is located to the left of the interface. The \(\vec H\) field in the space to the left of the interface is that generated by the current I plus the image current I’. The \(\vec H\) field to the right of the interface is that generated by the image current I”.
- https://phys.libretexts.org/Bookshelves/Electricity_and_Magnetism/Book%3A_Applications_of_Maxwells_Equations_(Cochran_and_Heinrich)/06%3A_Ferromagnetism/6.03%3A_Digital_Magnetic_RecordingFigure \(\PageIndex{10}\): (a) A schematic representation of a hard disc write head. (b) The co-ordinate system used to write the spatial dependence of the write head field in the Karlqvist approximat...Figure \(\PageIndex{10}\): (a) A schematic representation of a hard disc write head. (b) The co-ordinate system used to write the spatial dependence of the write head field in the Karlqvist approximation. The write head ”flies” over the surface of the disc at an altitude of approximately 25 nm, and the magnetic film on the disc is magnetized by the fringing field produced at the magnet gap.
- https://phys.libretexts.org/Bookshelves/Electricity_and_Magnetism/Book%3A_Applications_of_Maxwells_Equations_(Cochran_and_Heinrich)/04%3A_The_Magnetostatic_Field_I/4.03%3A_Standard_ProblemsThe magnetic field at a point on the axis of the coil can be calculated as the sum of the fields generated by each turn separately using the principle of superposition. The discontinuity in the tangen...The magnetic field at a point on the axis of the coil can be calculated as the sum of the fields generated by each turn separately using the principle of superposition. The discontinuity in the tangential component of the magnetization density at the surfaces of a uniformly magnetized disc produces an effective surface current density that sets up a magnetic field whose distribution is exactly equivalent to the field set up by a solenoid of the same length.
- https://phys.libretexts.org/Bookshelves/Electricity_and_Magnetism/Book%3A_Applications_of_Maxwells_Equations_(Cochran_and_Heinrich)/08%3A_Electromagnetic_Fields_and_Energy_Flow/8.02%3A_Poyntings_TheoremSuppose that the radius of the sphere, R, is so large that only the radiation fields have an appreciable amplitude on its surface; recall that the radiation fields fall off with distance like 1/R (see...Suppose that the radius of the sphere, R, is so large that only the radiation fields have an appreciable amplitude on its surface; recall that the radiation fields fall off with distance like 1/R (see Equations (7.33)) , whereas the other field components fall off like 1/R 2 or 1/R 3 . For the case of dipole radiation in free space the Poynting vector has only an r-component because \(\vec E\), \(\vec H\) are perpendicular to one another and also perpendicular to the direction specified by the …
- https://phys.libretexts.org/Bookshelves/Electricity_and_Magnetism/Book%3A_Applications_of_Maxwells_Equations_(Cochran_and_Heinrich)/07%3A_Time_Dependent_Electromagnetic_Fields./7.04%3A_An_Electric_Dipole_Radiatoras \(\vec r\) in (7.2.18) ranges over the volume, Vol, changes in the distance to the observer can be neglected both in the denominator and in the retarded time. \[\operatorname{curl}(\vec{\text{B}})_...as \(\vec r\) in (7.2.18) ranges over the volume, Vol, changes in the distance to the observer can be neglected both in the denominator and in the retarded time. \[\operatorname{curl}(\vec{\text{B}})_{\theta}=\frac{\mu_{0}}{4 \pi}\left(\frac{\ddot{\text{p}}_{\text{z}}}{\text{c}^{2} \text{R}}+\frac{\ddot{\text{p}}_{\text{z}}}{\text{c} \text{R}^{2}}+\frac{\dot{\text{p}}_{\text{z}}}{\text{R}^{3}}\right) \sin \theta. \]
- https://phys.libretexts.org/Bookshelves/Electricity_and_Magnetism/Book%3A_Applications_of_Maxwells_Equations_(Cochran_and_Heinrich)/07%3A_Time_Dependent_Electromagnetic_Fields./7.03%3A_A_Simple_Radio_Antenna\[\text{A}_{z}(\text{R}, \theta, \text{t})=\frac{\mu_{0}}{4 \pi} \int_{-\text{L}}^{0} \text{dz} \frac{\text{I}_{0} \sin \left[\frac{\omega}{\text{c}}(\text{L}+\text{z})\right]}{[\text{R}-\text{z} \cos...\[\text{A}_{z}(\text{R}, \theta, \text{t})=\frac{\mu_{0}}{4 \pi} \int_{-\text{L}}^{0} \text{dz} \frac{\text{I}_{0} \sin \left[\frac{\omega}{\text{c}}(\text{L}+\text{z})\right]}{[\text{R}-\text{z} \cos \theta]} \exp (-i \omega \text{t}) \exp \left(\frac{i \omega}{\text{c}}[\text{R}-\text{z} \cos \theta]\right)+\frac{\mu_{0}}{4 \pi} \int_{0}^{L} \text{d} z \frac{\text{I}_{0} \sin \left[\frac{\omega}{c}(\text{L}-\text{z})\right]}{[\text{R}-\text{z} \cos \theta]} \exp (-i \omega \text{t}) \exp \lef…
