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    • https://phys.libretexts.org/Courses/Georgia_State_University/GSU-TM-Physics_II_(2212)/07%3A_Sources_of_Magnetism_Magnetic_Forces_and_Fields/7.03%3A_Magnetic_Fields_and_Lines
      To calculate the force, we use the given charge, velocity, and magnetic field and the definition of the magnetic force in cross-product form to calculate: \[\vec{F} = q\vec{v} \times \vec{B} = (3.2 \t...To calculate the force, we use the given charge, velocity, and magnetic field and the definition of the magnetic force in cross-product form to calculate: F=qv×B=(3.2×1019C)((2.0ˆi3.0ˆj+1.0ˆk)×104m/s)×(1.5Tˆk) (14.4ˆi9.6ˆj)×1015N. This solution can be rewritten in terms of a magnitude and angle in the xy-plane: \[|\vec{F}| = \sqrt{F_x^2 + F_y^2} = \sqrt{(-14.4)^2 + (-9.6)…
    • https://phys.libretexts.org/Bookshelves/College_Physics/College_Physics_1e_(OpenStax)/24%3A_Electromagnetic_Waves/24.01%3A_Maxwells_Equations-_Electromagnetic_Waves_Predicted_and_Observed
      Electromagnetic waves consist of oscillating electric and magnetic fields and propagate at the speed of light c. They were predicted by Maxwell, who also showed that \[c = \frac{1}{\sqrt{\mu_{0} \...Electromagnetic waves consist of oscillating electric and magnetic fields and propagate at the speed of light c. They were predicted by Maxwell, who also showed that c=1μ0ϵ0, where mu0 is the permeability of free space and ϵ0 is the permitivity of free space. Maxwell’s prediction of electromagnetic waves resulted from his formulation of a complete and symmetric theory of electricity and magnetism, known as Maxwell’s equations.
    • https://phys.libretexts.org/Courses/Georgia_State_University/GSU-TM-Physics_I_(2211)/05%3A_Forces/5.09%3A_Common_Forces_-_Magnetic_Force
      To calculate the force, we use the given charge, velocity, and magnetic field and the definition of the magnetic force in cross-product form to calculate: \[\vec{F} = q\vec{v} \times \vec{B} = (3.2 \t...To calculate the force, we use the given charge, velocity, and magnetic field and the definition of the magnetic force in cross-product form to calculate: F=qv×B=(3.2×1019C)((2.0ˆi3.0ˆj+1.0ˆk)×104m/s)×(1.5Tˆk) (14.4ˆi9.6ˆj)×1015N. This solution can be rewritten in terms of a magnitude and angle in the xy-plane: \[|\vec{F}| = \sqrt{F_x^2 + F_y^2} = \sqrt{(-14.4)^2 + (-9.6)…
    • https://phys.libretexts.org/Courses/Skyline/Survey_of_Physics/09%3A_Magnetism/9.04%3A_Magnetic_Fields_and_Magnetic_Field_Lines
      Magnetic fields can be pictorially represented by magnetic field lines, the properties of which are as follows: The field is tangent to the magnetic field line. Field strength is proportional to the ...Magnetic fields can be pictorially represented by magnetic field lines, the properties of which are as follows: The field is tangent to the magnetic field line. Field strength is proportional to the line density. Field lines cannot cross. Field lines are continuous loops.
    • https://phys.libretexts.org/Courses/Grand_Rapids_Community_College/PH246_Calculus_Physics_II_(2025)/07%3A_Magnetic_Forces_and_Fields/7.03%3A_Magnetic_Fields_and_Lines
      Even though there are no such things as isolated magnetic charges, we can still define the attraction and repulsion of magnets as based on a field. In this section, we define the magnetic field, deter...Even though there are no such things as isolated magnetic charges, we can still define the attraction and repulsion of magnets as based on a field. In this section, we define the magnetic field, determine its direction based on the right-hand rule, and discuss how to draw magnetic field lines.
    • https://phys.libretexts.org/Courses/Muhlenberg_College/Physics_122%3A_General_Physics_II_(Collett)/07%3A_Magnetic_Forces_and_Fields/7.03%3A_Magnetic_Fields_and_Lines
      Even though there are no such things as isolated magnetic charges, we can still define the attraction and repulsion of magnets as based on a field. In this section, we define the magnetic field, deter...Even though there are no such things as isolated magnetic charges, we can still define the attraction and repulsion of magnets as based on a field. In this section, we define the magnetic field, determine its direction based on the right-hand rule, and discuss how to draw magnetic field lines.
    • https://phys.libretexts.org/Courses/Georgia_State_University/GSU-TM-Introductory_Physics_II_(1112)/07%3A_Magnetism/7.04%3A_Magnetic_Fields_and_Magnetic_Field_Lines
      Figure \PageIndex1: Magnetic field lines are defined to have the direction that a small compass points when placed at a location. (a) If small compasses are used to map the magnetic field around...Figure \PageIndex1: Magnetic field lines are defined to have the direction that a small compass points when placed at a location. (a) If small compasses are used to map the magnetic field around a bar magnet, they will point in the directions shown: away from the north pole of the magnet, toward the south pole of the magnet. (Recall that the Earth’s north magnetic pole is really a south pole in terms of definitions of poles on a bar magnet.) (b) Connecting the arrows gives continuous magn…
    • https://phys.libretexts.org/Courses/Bowdoin_College/Phys1140%3A_Introductory_Physics_II%3A_Part_1/06%3A_Magnetic_Fields/6.03%3A_Magnetic_Fields_and_Lines
      Even though there are no such things as isolated magnetic charges, we can still define the attraction and repulsion of magnets as based on a field. In this section, we define the magnetic field, deter...Even though there are no such things as isolated magnetic charges, we can still define the attraction and repulsion of magnets as based on a field. In this section, we define the magnetic field, determine its direction based on the right-hand rule, and discuss how to draw magnetic field lines.
    • https://phys.libretexts.org/Courses/Kettering_University/Electricity_and_Magnetism_with_Applications_to_Amateur_Radio_and_Wireless_Technology/11%3A_Electromagnetic_Waves/11.02%3A_Maxwells_Equations-_Electromagnetic_Waves_Predicted_and_Observed
      Electromagnetic waves consist of oscillating electric and magnetic fields and propagate at the speed of light c. They were predicted by Maxwell, who also showed that \[c = \frac{1}{\sqrt{\mu_{0} \...Electromagnetic waves consist of oscillating electric and magnetic fields and propagate at the speed of light c. They were predicted by Maxwell, who also showed that c=1μ0ϵ0, where mu0 is the permeability of free space and ϵ0 is the permitivity of free space. Maxwell’s prediction of electromagnetic waves resulted from his formulation of a complete and symmetric theory of electricity and magnetism, known as Maxwell’s equations.
    • https://phys.libretexts.org/Courses/Kettering_University/Electricity_and_Magnetism_with_Applications_to_Amateur_Radio_and_Wireless_Technology/08%3A_The_Magnetic_Field/8.06%3A_Magnetic_Fields_and_Lines
      Even though there are no such things as isolated magnetic charges, we can still define the attraction and repulsion of magnets as based on a field. In this section, we define the magnetic field, deter...Even though there are no such things as isolated magnetic charges, we can still define the attraction and repulsion of magnets as based on a field. In this section, we define the magnetic field, determine its direction based on the right-hand rule, and discuss how to draw magnetic field lines.
    • https://phys.libretexts.org/Bookshelves/University_Physics/University_Physics_(OpenStax)/University_Physics_II_-_Thermodynamics_Electricity_and_Magnetism_(OpenStax)/11%3A_Magnetic_Forces_and_Fields/11.03%3A_Magnetic_Fields_and_Lines
      Even though there are no such things as isolated magnetic charges, we can still define the attraction and repulsion of magnets as based on a field. In this section, we define the magnetic field, deter...Even though there are no such things as isolated magnetic charges, we can still define the attraction and repulsion of magnets as based on a field. In this section, we define the magnetic field, determine its direction based on the right-hand rule, and discuss how to draw magnetic field lines.

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