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- https://phys.libretexts.org/Courses/Joliet_Junior_College/PHYS202_-_JJC_-_Testing/05%3A_Chapter_5/5.01%3A_Calculating_Electric_Fields_of_Charge_DistributionsThe charge distributions we have seen so far have been discrete: made up of individual point particles. This is in contrast with a continuous charge distribution, which has at least one nonzero dimens...The charge distributions we have seen so far have been discrete: made up of individual point particles. This is in contrast with a continuous charge distribution, which has at least one nonzero dimension. If a charge distribution is continuous rather than discrete, we can generalize the definition of the electric field. We simply divide the charge into infinitesimal pieces and treat each piece as a point charge.
- https://phys.libretexts.org/Bookshelves/Electricity_and_Magnetism/Electromagnetics_I_(Ellingson)/05%3A_Electrostatics/5.04%3A_Electric_Field_Due_to_a_Continuous_Distribution_of_ChargeIt is common to have a continuous distribution of charge as opposed to a countable number of charged particles. In this section, we extend the discrete perspective of charge distributions into the con...It is common to have a continuous distribution of charge as opposed to a countable number of charged particles. In this section, we extend the discrete perspective of charge distributions into the concept of continuous distribution of charge so that we may address this more general class of problems.
- https://phys.libretexts.org/Courses/Kettering_University/Electricity_and_Magnetism_with_Applications_to_Amateur_Radio_and_Wireless_Technology/16%3A_Direct_Calculation_of_Electrical_Quantities_from_Charge_Distributions/16.03%3A_Calculating_Electric_Fields_of_Charge_DistributionsThe charge distributions we have seen so far have been discrete: made up of individual point particles. This is in contrast with a continuous charge distribution, which has at least one nonzero dimens...The charge distributions we have seen so far have been discrete: made up of individual point particles. This is in contrast with a continuous charge distribution, which has at least one nonzero dimension. If a charge distribution is continuous rather than discrete, we can generalize the definition of the electric field. We simply divide the charge into infinitesimal pieces and treat each piece as a point charge.
- https://phys.libretexts.org/Courses/Kettering_University/Electricity_and_Magnetism_with_Applications_to_Amateur_Radio_and_Wireless_Technology/03%3A_The_Electric_Potential/3.07%3A_Common_Models_of_Electric_PotentialMany practical scenarios contain so many individual charges that they can be effectively considered as a continuous distribution of charge. This section will summarize the electric potentials that re...Many practical scenarios contain so many individual charges that they can be effectively considered as a continuous distribution of charge. This section will summarize the electric potentials that result from some common geometries of charge distribution, including a finite line, ring, disk, and infinite line.
- https://phys.libretexts.org/Courses/Berea_College/Electromagnetics_I/05%3A_Electrostatics/5.04%3A_Electric_Field_Due_to_a_Continuous_Distribution_of_ChargeIt is common to have a continuous distribution of charge as opposed to a countable number of charged particles. In this section, we extend the discrete perspective of charge distributions into the con...It is common to have a continuous distribution of charge as opposed to a countable number of charged particles. In this section, we extend the discrete perspective of charge distributions into the concept of continuous distribution of charge so that we may address this more general class of problems.
- https://phys.libretexts.org/Courses/Georgia_State_University/GSU-TM-Physics_II_(2212)/03%3A_Electrostatics_-_Charges_Forces_and_Fields/3.05%3A_Calculating_Electric_Fields_of_Charge_Distributions(Please take note of the two different “r’s” here; r is the distance from the differential ring of charge to the point P where we wish to determine the field, whereas r′ is the distanc...(Please take note of the two different “r’s” here; r is the distance from the differential ring of charge to the point P where we wish to determine the field, whereas r′ is the distance from the center of the disk to the differential ring of charge.) Also, we already performed the polar angle integral in writing down dA.
- https://phys.libretexts.org/Courses/Bowdoin_College/Phys1140%3A_Introductory_Physics_II%3A_Part_1/02%3A_Electric_Fields/2.03%3A_Calculating_Electric_Fields_of_Charge_DistributionsThe charge distributions we have seen so far have been discrete: made up of individual point particles. This is in contrast with a continuous charge distribution, which has at least one nonzero dimens...The charge distributions we have seen so far have been discrete: made up of individual point particles. This is in contrast with a continuous charge distribution, which has at least one nonzero dimension. If a charge distribution is continuous rather than discrete, we can generalize the definition of the electric field. We simply divide the charge into infinitesimal pieces and treat each piece as a point charge.
- https://phys.libretexts.org/Courses/Muhlenberg_College/Physics_122%3A_General_Physics_II_(Collett)/01%3A_Electric_Charges_and_Fields/1.06%3A_Calculating_Electric_Fields_of_Charge_DistributionsThe charge distributions we have seen so far have been discrete: made up of individual point particles. This is in contrast with a continuous charge distribution, which has at least one nonzero dimens...The charge distributions we have seen so far have been discrete: made up of individual point particles. This is in contrast with a continuous charge distribution, which has at least one nonzero dimension. If a charge distribution is continuous rather than discrete, we can generalize the definition of the electric field. We simply divide the charge into infinitesimal pieces and treat each piece as a point charge.
- https://phys.libretexts.org/Bookshelves/University_Physics/University_Physics_(OpenStax)/University_Physics_II_-_Thermodynamics_Electricity_and_Magnetism_(OpenStax)/05%3A_Electric_Charges_and_Fields/5.06%3A_Calculating_Electric_Fields_of_Charge_DistributionsThe charge distributions we have seen so far have been discrete: made up of individual point particles. This is in contrast with a continuous charge distribution, which has at least one nonzero dimens...The charge distributions we have seen so far have been discrete: made up of individual point particles. This is in contrast with a continuous charge distribution, which has at least one nonzero dimension. If a charge distribution is continuous rather than discrete, we can generalize the definition of the electric field. We simply divide the charge into infinitesimal pieces and treat each piece as a point charge.
- https://phys.libretexts.org/Courses/Grand_Rapids_Community_College/PH246_Calculus_Physics_II_(2025)/01%3A_Electric_Charges_and_Fields/1.07%3A_Calculating_Electric_Fields_of_Charge_DistributionsThe charge distributions we have seen so far have been discrete: made up of individual point particles. This is in contrast with a continuous charge distribution, which has at least one nonzero dimens...The charge distributions we have seen so far have been discrete: made up of individual point particles. This is in contrast with a continuous charge distribution, which has at least one nonzero dimension. If a charge distribution is continuous rather than discrete, we can generalize the definition of the electric field. We simply divide the charge into infinitesimal pieces and treat each piece as a point charge.
- https://phys.libretexts.org/Courses/Kettering_University/Electricity_and_Magnetism_with_Applications_to_Amateur_Radio_and_Wireless_Technology/02%3A_The_Electric_Field/2.07%3A_Common_Models_of_Electric_FieldMany practical scenarios contain so many individual charges that they can be effectively considered as a continuous distribution of charge. This section will summarize the electric fields that result...Many practical scenarios contain so many individual charges that they can be effectively considered as a continuous distribution of charge. This section will summarize the electric fields that result from some common geometries of charge distribution, including a finite line, infinite line, ring, disk, and infinite plane.