Search
- https://phys.libretexts.org/Courses/Joliet_Junior_College/PHYS202_-_JJC_-_Testing/08%3A_Chapter_8/8.01%3A_Determining_Field_from_PotentialIn certain systems, we can calculate the potential by integrating over the electric field. As you may already suspect, this means that we may calculate the electric field by taking derivatives of the ...In certain systems, we can calculate the potential by integrating over the electric field. As you may already suspect, this means that we may calculate the electric field by taking derivatives of the potential, although going from a scalar to a vector quantity introduces some interesting wrinkles. We frequently need E to calculate the force in a system; since it is often simpler to calculate the potential directly, there are systems in which it is useful to calculate V and then derive E.
- 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_propertiesThis 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.
- https://phys.libretexts.org/Bookshelves/Electricity_and_Magnetism/Electromagnetics_and_Applications_(Staelin)/02%3A_Introduction_to_Electrodynamics/2.02%3A_Electromagnetic_waves_in_the_time_domainThis page explains Maxwell's equations, which predict electromagnetic waves' existence and behavior in a vacuum using parameters like permittivity and permeability. It establishes that electric fields...This page explains Maxwell's equations, which predict electromagnetic waves' existence and behavior in a vacuum using parameters like permittivity and permeability. It establishes that electric fields propagate perpendicular to their direction of travel, leading to polarization.
- https://phys.libretexts.org/Courses/Kettering_University/Electricity_and_Magnetism_with_Applications_to_Amateur_Radio_and_Wireless_Technology/02%3A_The_Electric_Field/2.01%3A_IntroductionThis section provides an introduction to the chapter on electric charges, fields, and forces.
- https://phys.libretexts.org/Courses/Grand_Rapids_Community_College/PH246_Calculus_Physics_II_(2025)/03%3A_Electric_Potential/3.05%3A_Determining_Field_from_PotentialIn certain systems, we can calculate the potential by integrating over the electric field. As you may already suspect, this means that we may calculate the electric field by taking derivatives of the ...In certain systems, we can calculate the potential by integrating over the electric field. As you may already suspect, this means that we may calculate the electric field by taking derivatives of the potential, although going from a scalar to a vector quantity introduces some interesting wrinkles. We frequently need ⃗ E→\vec{E} to calculate the force in a system; since it is often simpler to calculate the potential directly, there are systems in which it is useful to calculate VV and then d
- https://phys.libretexts.org/Bookshelves/University_Physics/University_Physics_(OpenStax)/University_Physics_II_-_Thermodynamics_Electricity_and_Magnetism_(OpenStax)/05%3A_Electric_Charges_and_Fields/5.07%3A_Electric_Field_LinesOur model is that the charge on an object (the source charge) alters space in the region around it in such a way that when another charged object (the test charge) is placed in that region of space, t...Our model is that the charge on an object (the source charge) alters space in the region around it in such a way that when another charged object (the test charge) is placed in that region of space, that test charge experiences an electric force. The concept of electric field lines, and of electric field line diagrams, enables us to visualize the way in which the space is altered, allowing us to visualize the field.
- https://phys.libretexts.org/Bookshelves/University_Physics/University_Physics_(OpenStax)/University_Physics_II_-_Thermodynamics_Electricity_and_Magnetism_(OpenStax)/05%3A_Electric_Charges_and_Fields/5.05%3A_Electric_FieldThe electric field, which is independent of the test charge. It only depends on the configuration of the source charges, and once found, allows us to calculate the force on any test charge.
- https://phys.libretexts.org/Courses/Muhlenberg_College/Physics_122%3A_General_Physics_II_(Collett)/03%3A_Electric_Potential/3.05%3A_Determining_Field_from_PotentialIn certain systems, we can calculate the potential by integrating over the electric field. As you may already suspect, this means that we may calculate the electric field by taking derivatives of the ...In certain systems, we can calculate the potential by integrating over the electric field. As you may already suspect, this means that we may calculate the electric field by taking derivatives of the potential, although going from a scalar to a vector quantity introduces some interesting wrinkles. We frequently need E to calculate the force in a system; since it is often simpler to calculate the potential directly, there are systems in which it is useful to calculate V and then derive E.
- https://phys.libretexts.org/Courses/Joliet_Junior_College/PHYS202_-_JJC_-_Testing/01%3A_Conceptual_Objective_1/1.01%3A_OverviewAtoms contain negatively charged electrons and positively charged protons; the number of each determines the atom’s net charge.
- https://phys.libretexts.org/Courses/Muhlenberg_College/Physics_122%3A_General_Physics_II_(Collett)/01%3A_Electric_Charges_and_Fields/1.07%3A_Electric_Field_LinesOur model is that the charge on an object (the source charge) alters space in the region around it in such a way that when another charged object (the test charge) is placed in that region of space, t...Our model is that the charge on an object (the source charge) alters space in the region around it in such a way that when another charged object (the test charge) is placed in that region of space, that test charge experiences an electric force. The concept of electric field lines, and of electric field line diagrams, enables us to visualize the way in which the space is altered, allowing us to visualize the field.
- https://phys.libretexts.org/Courses/Georgia_State_University/GSU-TM-Introductory_Physics_II_(1112)/03%3A_Electric_Charge_and_Electric_Field/3.06%3A_Electric_Field_LinesNote that the electric field is defined for a positive test charge \(q\), so that the field lines point away from a positive charge and toward a negative charge. (Figure \(\PageIndex{2}\)) The electri...Note that the electric field is defined for a positive test charge \(q\), so that the field lines point away from a positive charge and toward a negative charge. (Figure \(\PageIndex{2}\)) The electric field strength is exactly proportional to the number of field lines per unit area, since the magnitude of the electric field for a point charge is \(E=k|Q|/r^{2}\) and area is proportional to \(r^{2}\).
