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- https://phys.libretexts.org/Courses/Kettering_University/Electricity_and_Magnetism_with_Applications_to_Amateur_Radio_and_Wireless_Technology/20%3A_Maxwell's_Equations/20.04%3A_Amperes_LawA fundamental property of a static magnetic field is that, unlike an electrostatic field, it is not conservative. A conservative field is one that does the same amount of work on a particle moving bet...A fundamental property of a static magnetic field is that, unlike an electrostatic field, it is not conservative. A conservative field is one that does the same amount of work on a particle moving between two different points regardless of the path chosen. Magnetic fields do not have such a property. Instead, there is a relationship between the magnetic field and its source, electric current. It is expressed in terms of the line integral B and is known as Ampère’s law.
- https://phys.libretexts.org/Courses/University_of_California_Davis/UCD%3A_Physics_9C__Electricity_and_Magnetism/4%3A_Magnetism/4.5%3A_Amp%C3%A9re's_LawIn electricity, we discussed the useful-if-abstract relationship between charge and field known as Gauss's law. As a close cousin to electricity, it should not be surprising that magnetism has a simil...In electricity, we discussed the useful-if-abstract relationship between charge and field known as Gauss's law. As a close cousin to electricity, it should not be surprising that magnetism has a similar relationship between current and field. As we did with Gauss's law, we will find ways to use this mathematical relation to solve for fields of symmetric arrangements of field sources.
- https://phys.libretexts.org/Courses/Muhlenberg_College/Physics_122%3A_General_Physics_II_(Collett)/08%3A_Sources_of_Magnetic_Fields/8.06%3A_Amperes_LawA fundamental property of a static magnetic field is that, unlike an electrostatic field, it is not conservative. A conservative field is one that does the same amount of work on a particle moving bet...A fundamental property of a static magnetic field is that, unlike an electrostatic field, it is not conservative. A conservative field is one that does the same amount of work on a particle moving between two different points regardless of the path chosen. Magnetic fields do not have such a property. Instead, there is a relationship between the magnetic field and its source, electric current. It is expressed in terms of the line integral B and is known as Ampère’s law.
- https://phys.libretexts.org/Courses/Grand_Rapids_Community_College/PH246_Calculus_Physics_II_(2025)/08%3A_Sources_of_Magnetic_Fields/8.04%3A_Amperes_LawA fundamental property of a static magnetic field is that, unlike an electrostatic field, it is not conservative. A conservative field is one that does the same amount of work on a particle moving bet...A fundamental property of a static magnetic field is that, unlike an electrostatic field, it is not conservative. A conservative field is one that does the same amount of work on a particle moving between two different points regardless of the path chosen. Magnetic fields do not have such a property. Instead, there is a relationship between the magnetic field and its source, electric current. It is expressed in terms of the line integral B and is known as Ampère’s law.
- https://phys.libretexts.org/Bookshelves/University_Physics/University_Physics_(OpenStax)/University_Physics_II_-_Thermodynamics_Electricity_and_Magnetism_(OpenStax)/12%3A_Sources_of_Magnetic_Fields/12.06%3A_Amperes_LawA fundamental property of a static magnetic field is that, unlike an electrostatic field, it is not conservative. A conservative field is one that does the same amount of work on a particle moving bet...A fundamental property of a static magnetic field is that, unlike an electrostatic field, it is not conservative. A conservative field is one that does the same amount of work on a particle moving between two different points regardless of the path chosen. Magnetic fields do not have such a property. Instead, there is a relationship between the magnetic field and its source, electric current. It is expressed in terms of the line integral B and is known as Ampère’s law.
- https://phys.libretexts.org/Courses/Georgia_State_University/GSU-TM-Physics_II_(2212)/07%3A_Sources_of_Magnetism_Magnetic_Forces_and_Fields/7.11%3A_Amperes_LawFigure \PageIndex3: (a) A model of a current-carrying wire of radius a and current I0. (b) A cross-section of the same wire showing the radius a and the Ampère’s loop of radius r. Also, the...Figure \PageIndex3: (a) A model of a current-carrying wire of radius a and current I0. (b) A cross-section of the same wire showing the radius a and the Ampère’s loop of radius r. Also, the drop-off outside the thick wire is similar to how an electric field drops off outside of a linear charge distribution, since the two cases have the same geometry and neither case depends on the configuration of charges or currents once the loop is outside the distribution.
- https://phys.libretexts.org/Courses/Kettering_University/Electricity_and_Magnetism_with_Applications_to_Amateur_Radio_and_Wireless_Technology/18%3A_Calculation_of_Magnetic_Quantities_from_Currents/18.04%3A_Magnetic_Field_using_Amperes_LawA fundamental property of a static magnetic field is that, unlike an electrostatic field, it is not conservative. A conservative field is one that does the same amount of work on a particle moving bet...A fundamental property of a static magnetic field is that, unlike an electrostatic field, it is not conservative. A conservative field is one that does the same amount of work on a particle moving between two different points regardless of the path chosen. Magnetic fields do not have such a property. Instead, there is a relationship between the magnetic field and its source, electric current. It is expressed in terms of the line integral B and is known as Ampère’s law.
- https://phys.libretexts.org/Bookshelves/University_Physics/Physics_(Boundless)/21%3A_Magnetism/21.1%3A_Magnetism_and_Magnetic_FieldsAn electric current will produce a magnetic field, which can be visualized as a series of circular field lines around a wire segment.
