电磁学参考公式（英文）.docVIP

Formulae: 1. The electric field at a point on the perpendicular bisector of a uniformly charged thin rod: 2. The electric field at a point on the axis of 1) A uniformly charged thin ring: 2) Infinite plane: 3) A uniform annulus of charge: 4) Infinite charged rod: 5) A thin spherical shell: 6) An insulating sphere: 7) Infinite cylindrical shell: 8) A infinite cylinder: 3. Gauss’s Law: 4. For the electrostatic field: (any closed path) The electric potential: ; Laplace’s operator: 1) The electric potential at a point on the axis of a uniformly charged thin ring: 2) Electric potential due to a point charge: 3) A thin uniformly charged spherical shell: 5. The work done by the electric field force: 6. The electric polarization of the isotropic dielectric: The surface bound charge density on the surface of dielectric: The electric displacement： For the isotropic dielectric: Gauss’s Law about: Calculation about electric field when dielectric exists 7. Capacitance of 1) An isolated conducting sphere: 2) The Parallel-Plate capacitor:; with dielectric: 3) The Spherical Capacitor:; with dielectric: 4) The Cylindrical Capacitor:;with dielectric: 5) Calculation about the capacitor: 8. Parallel combination of capacitors: Series combination of capacitors: 9. The energy stored in a capacitor: The energy stored in the electrostatic field: 10. The magnetic force that acts on a charge q moving with velocity v: The magnetic force on an arbitrarily shaped wire carrying current I: 11. Motion of a charged particle in a magnetic field 1) If, uniform linear motion 2) Ifis uniform, uniform circular motion: The torque on a current loop when the loop is placed in a uniform external magnetic field: 12. The Biot-Savart law: (valid only for steady currents) 13. Calculate 1) A distance of r from a straight wire segment carrying current I: Infinite:; One end is infinite: 2) The magnetic field on the axis of a circular current loop: The centre of the loop:; far from the