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- https://phys.libretexts.org/Courses/Georgia_State_University/GSU-TM-Physics_II_(2212)/04%3A_Electric_Potential_and_Capacitance
- https://phys.libretexts.org/Bookshelves/University_Physics/University_Physics_(OpenStax)/University_Physics_II_-_Thermodynamics_Electricity_and_Magnetism_(OpenStax)/06%3A_Gauss's_Law/6.03%3A_Explaining_Gausss_Lawif a closed surface does not have any charges inside the enclosed volume, then the electric flux through the surface is zero. Now, what happens to the electric flux if there are some charges inside th...if a closed surface does not have any charges inside the enclosed volume, then the electric flux through the surface is zero. Now, what happens to the electric flux if there are some charges inside the enclosed volume? Gauss’s law gives a quantitative answer to this question. Gauss’s law relates the electric flux through a closed surface to the net charge within that surface.
- https://phys.libretexts.org/Courses/University_of_California_Davis/UCD%3A_Physics_9C__Electricity_and_Magnetism/1%3A_Electrostatic_Fields/1.6%3A_Gauss's_LawThe only link we have seen between charge and electric field is Coulomb's law, coupled with the principle of superposition. It turns out that these two quantities have a much deeper relationship, whic...The only link we have seen between charge and electric field is Coulomb's law, coupled with the principle of superposition. It turns out that these two quantities have a much deeper relationship, which can be exploited to solve problems in a manner easier than what we have seen so far.
- https://phys.libretexts.org/Courses/Joliet_Junior_College/PHYS202_-_JJC_-_Testing/06%3A_Gauss's_LawSo far, we have found that the electrostatic field begins and ends at point charges and that the field of a point charge varies inversely with the square of the distance from that charge. These charac...So far, we have found that the electrostatic field begins and ends at point charges and that the field of a point charge varies inversely with the square of the distance from that charge. These characteristics of the electrostatic field lead to an important mathematical relationship known as Gauss’s law. Gauss’s law gives us an elegantly simple way of finding the electric field, and, as you will see, it can be much easier to use than the integration method described in the previous chapter.
- https://phys.libretexts.org/Courses/Muhlenberg_College/Physics_122%3A_General_Physics_II_(Collett)/02%3A_Gauss's_Law/2.03%3A_Explaining_Gausss_Lawif a closed surface does not have any charges inside the enclosed volume, then the electric flux through the surface is zero. Now, what happens to the electric flux if there are some charges inside th...if a closed surface does not have any charges inside the enclosed volume, then the electric flux through the surface is zero. Now, what happens to the electric flux if there are some charges inside the enclosed volume? Gauss’s law gives a quantitative answer to this question. Gauss’s law relates the electric flux through a closed surface to the net charge within that surface.
- https://phys.libretexts.org/Bookshelves/University_Physics/Calculus-Based_Physics_(Schnick)/Volume_B%3A_Electricity_Magnetism_and_Optics/B35%3A_Gausss_Law_for_the_Magnetic_Field_and_Amperes_Law_RevisitedRemember Gauss’s Law for the electric field? It’s the one that, in conceptual terms, states that the number of electric field lines poking outward through a closed surface is proportional to the amoun...Remember Gauss’s Law for the electric field? It’s the one that, in conceptual terms, states that the number of electric field lines poking outward through a closed surface is proportional to the amount of electric charge inside the closed surface.
- https://phys.libretexts.org/Bookshelves/University_Physics/University_Physics_(OpenStax)/University_Physics_II_-_Thermodynamics_Electricity_and_Magnetism_(OpenStax)/06%3A_Gauss's_Law/6.04%3A_Applying_Gausss_LawFor a charge distribution with certain spatial symmetries (spherical, cylindrical, and planar), we can find a Gaussian surface over which →E⋅ˆn=E, where E is constant over the s...For a charge distribution with certain spatial symmetries (spherical, cylindrical, and planar), we can find a Gaussian surface over which →E⋅ˆn=E, where E is constant over the surface. The electric field is then determined with Gauss’s law.
- https://phys.libretexts.org/Courses/Muhlenberg_College/Physics_122%3A_General_Physics_II_(Collett)/02%3A_Gauss's_Law/2.04%3A_Applying_Gausss_LawFor a charge distribution with certain spatial symmetries (spherical, cylindrical, and planar), we can find a Gaussian surface over which →E⋅ˆn=E, where E is constant over the s...For a charge distribution with certain spatial symmetries (spherical, cylindrical, and planar), we can find a Gaussian surface over which →E⋅ˆn=E, where E is constant over the surface. The electric field is then determined with Gauss’s law.
- https://phys.libretexts.org/Courses/Joliet_Junior_College/PHYS202_-_JJC_-_Testing/06%3A_Gauss's_Law/04%3A_Applying_Gausss_LawFor a charge distribution with certain spatial symmetries (spherical, cylindrical, and planar), we can find a Gaussian surface over which →E⋅ˆn=E, where E is constant over the s...For a charge distribution with certain spatial symmetries (spherical, cylindrical, and planar), we can find a Gaussian surface over which →E⋅ˆn=E, where E is constant over the surface. The electric field is then determined with Gauss’s law.
- https://phys.libretexts.org/Courses/Kettering_University/Electricity_and_Magnetism_with_Applications_to_Amateur_Radio_and_Wireless_Technology/04%3A_Potential_and_Field_Relationships/4.04%3A_Conductors_in_Electrostatic_EquilibriumWhen charges are stationary in a conductor, it is in a state of electrostatic equilbrium. This section describes the properties of conductors in electrostatic equilibrium in regard to the electric fi...When charges are stationary in a conductor, it is in a state of electrostatic equilbrium. This section describes the properties of conductors in electrostatic equilibrium in regard to the electric field, electric potential, and surface charge density both inside and on the surface of the conductor.
- https://phys.libretexts.org/Courses/Muhlenberg_College/Physics_122%3A_General_Physics_II_(Collett)/02%3A_Gauss's_LawSo far, we have found that the electrostatic field begins and ends at point charges and that the field of a point charge varies inversely with the square of the distance from that charge. These charac...So far, we have found that the electrostatic field begins and ends at point charges and that the field of a point charge varies inversely with the square of the distance from that charge. These characteristics of the electrostatic field lead to an important mathematical relationship known as Gauss’s law. Gauss’s law gives us an elegantly simple way of finding the electric field, and, as you will see, it can be much easier to use than the integration method described in the previous chapter.
