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- https://phys.libretexts.org/Courses/Berea_College/Electromagnetics_I/03%3A_Transmission_Lines/3.01%3A_Introduction_to_Transmission_LinesTransmission lines are designed to support guided waves with controlled impedance, low loss, and a degree of immunity from EMI.
- https://phys.libretexts.org/Courses/Berea_College/Electromagnetics_I/04%3A_Vector_Analysis/4.10%3A_The_Laplacian_OperatorThe Laplacian relates the electric potential (i.e., V , units of V) to electric charge density (i.e., ρv , units of C/m 3 ) via a relationship known as Poisson’s Equation.
- https://phys.libretexts.org/Courses/Berea_College/Electromagnetics_I/09%3A_Plane_Waves_in_Loseless_Media/9.06%3A_Wave_PolarizationPolarization refers to the orientation of the electric field vector. For waves, the term “polarization” refers specifically to the orientation of this vector with increasing distance along the directi...Polarization refers to the orientation of the electric field vector. For waves, the term “polarization” refers specifically to the orientation of this vector with increasing distance along the direction of propagation, or, equivalently, the orientation of this vector with increasing time at a fixed point in space. The relevant concepts are readily demonstrated for uniform plane waves, as shown in this section.
- https://phys.libretexts.org/Courses/Berea_College/Electromagnetics_I/05%3A_Electrostatics/5.12%3A_Electric_Potential_Field_Due_to_Point_ChargesThe electrical potential at a point is defined as the potential difference measured beginning at a sphere of infinite radius and ending at the point r . The potential obtained in this manner is with ...The electrical potential at a point is defined as the potential difference measured beginning at a sphere of infinite radius and ending at the point r . The potential obtained in this manner is with respect to the potential infinitely far away.
- https://phys.libretexts.org/Courses/Berea_College/Electromagnetics_I/02%3A_Electric_and_Magnetic_Fields/2.01%3A_What_is_a_FieldA field is the continuum of values of a quantity as a function of position and time.
- https://phys.libretexts.org/Courses/Berea_College/Electromagnetics_I/01%3A_Preliminary_Concepts/1.02%3A_Electromagnetic_Spectrumectromagnetic fields exist at frequencies from DC (0 Hz) to at least 1020 Hz – that’s at least 20 orders of magnitude! At DC, electromagnetics consists of two distinct disciplines: electrostatics, con...ectromagnetic fields exist at frequencies from DC (0 Hz) to at least 1020 Hz – that’s at least 20 orders of magnitude! At DC, electromagnetics consists of two distinct disciplines: electrostatics, concerned with electric fields; and magnetostatics, concerned with magnetic fields. At higher frequencies, electric and magnetic fields interact to form propagating waves. Waves having frequencies within certain ranges are given names based on how they manifest as physical phenomena.
- https://phys.libretexts.org/Courses/Berea_College/Electromagnetics_I/05%3A_Electrostatics/5.24%3A_Capacitance_of_a_Coaxial_StructureThis section determines the capacitance of coaxially-arranged conductors. Among other applications, this information is useful in the analysis of voltage and current waves on coaxial transmission line...This section determines the capacitance of coaxially-arranged conductors. Among other applications, this information is useful in the analysis of voltage and current waves on coaxial transmission line.
- https://phys.libretexts.org/Courses/Berea_College/Electromagnetics_I/07%3A_Magnetostatics/7.02%3A_Gauss_Law_for_Magnetic_Fields_-_Integral_FormGauss’ Law for Magnetic Fields states that the flux of the magnetic field through a closed surface is zero.
- https://phys.libretexts.org/Courses/Berea_College/Electromagnetics_I/09%3A_Plane_Waves_in_Loseless_Media/9.01%3A_Maxwells_Equations_in_Differential_Phasor_FormIn this section, we derive the phasor form of Maxwell’s Equations from the general time-varying form of these equations. Here we are interested exclusively in the differential (“point”) form of these ...In this section, we derive the phasor form of Maxwell’s Equations from the general time-varying form of these equations. Here we are interested exclusively in the differential (“point”) form of these equations. It is assumed that the reader is comfortable with phasor representation and its benefits.
- https://phys.libretexts.org/Courses/Berea_College/Electromagnetics_I/07%3A_Magnetostatics/7.14%3A_Inductance_of_a_Coaxial_StructureThis analysis will also apply to the case where the length \(l\) pertains to one short section of a much longer structure; in this case we will obtain the inductance per length as opposed to the total...This analysis will also apply to the case where the length \(l\) pertains to one short section of a much longer structure; in this case we will obtain the inductance per length as opposed to the total inductance for the structure. To determine the inductance, we invoke the definition: \[L \triangleq \frac{\Phi}{I} \label{m0125_eIndDef} \] A current \(I\) flowing in the \(+z\) direction on the inner conductor gives rise to a magnetic field inside the coaxial structure.
- https://phys.libretexts.org/Courses/Berea_College/Electromagnetics_I/01%3A_Preliminary_ConceptsIn electromagnetics, the electric field intensity \({\bf E}\) is a real-valued vector field that may vary as a function of position and time, and so might be indicated as “\({\bf E}(x,y,z,t)\),” “\({\...In electromagnetics, the electric field intensity \({\bf E}\) is a real-valued vector field that may vary as a function of position and time, and so might be indicated as “\({\bf E}(x,y,z,t)\),” “\({\bf E}({\bf r},t)\),” or simply “\({\bf E}\).” When expressed as a phasor, this quantity is complex-valued but exhibits no time dependence, so we might say instead “\(\widetilde{\bf E}({\bf r})\)” or simply “\(\widetilde{\bf E}\).” An example of a scalar field in electromagnetics is the electric pot…
