Summary of Notes for Final

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University of Texas at Austin
PHY 303L
Jack Turner

Constants Coulomb’s Constant ❑ ❑ ❑❑ ❑ speed of light ❑ ❑ Chapter 14: Electric Field Coulomb’s Law for point charges ∣ ❑ ∣❑ ❑ ❑ ❑❑ Like charges repel, unlike charges attract Force acts along a line Electric force is much greater than the Mechanical force Electric Field and Electric Force Apoint charge is not affected by its own Electric Field Electric Field on a point charge ❑ ❑ Direction of Field depends on direction of r and sign of q Electric field in a uniformly charged sphere is 0 Electric field outside of a uniformly charged sphere is same Don’t forget about superposition Electric field of a dipole along the vertical axis ❑ ❑ ❑ ❑❑ ❑ ❑ ❑ where r is the distance between the observation point and the center of the dipole and s is the distance between the proton and electron Electric field of a dipole along the vertical axis if r >> s ❑ ❑ Electric field of a dipole along the horizontal axis ❑ ❑❑❑ ❑ ❑ Electric field of a dipole along the horizontal axis if r >> s ❑ ❑ Electric Dipole Moment Electric fields of a positively charged particle radiate outward while the electric field of a negative particle radiates toward the particle Electric field around a dipole is exactly what you would expect by putting that ^ and superposition together Chapter 15: Electrics Fields and Matter, what a dumb title Zero net charge does not mean there is no charge Conservation of charge is a thing. Charge can move between a system and its surrounding but cannot be created or destroyed. Conductors have freely moving electrons. E = 0 inside a conductor once it reaches equilibrium Drift Speed where v is the average drift speed of a mobile charge and u the the mobility of the charge Insulators have polarized atoms that cannot move freely. This happens almost instantaneously. Polarization means the electron cloud moves over Electric fields cause induced dipoles Polarizability where p is the dipole moment is the polarizability Momentum Principle ❑ ❑ ❑ ❑❑ ❑ You can discharge a charged objects by grounding (connecting with the Earth), or contact with another surface so that the charges may move between the two objects. You can discharge the tape (insulator) by rubbing it with your hand because there are mobile charges on your skin. Force between and point charge and a neutral atom ❑ ❑ ❑ ❑ Chapter 16: Electric Field of Distributed Charges, May want to re-read Uniformly charged thin rod Expression of Electric field due to one piece then ❑ ❑ ❑ ❑ ❑ ❑ ❑❑ ❑ ❑ ❑ ❑ ❑ Find the summation and integral ❑ ❑ ❑ ❑ ❑ ❑ ❑ ❑ ∫❑❑ ❑ ❑ = √❑ ❑ if r (or x) >> L then ❑ ❑ if L >> r (super long rod) Hollow Cylinder for L >> R E = <0, - * 4Q/3 , > Uniformly Charged Thin Ring Due to One piece ❑ ❑ ❑ ❑ ❑ After integrat∫ng❑ ❑ ❑ ❑ ❑ ❑❑ ❑ if z >> R ❑ ❑ E is zero at the center of the ring Uniformly Charged Disk Due to one piece ❑ ❑ ❑ ❑ ❑ ❑ ❑ ❑ ❑ After integration ❑ ❑ ❑ ❑ Approximation if z << R E = (Q/A) / 2 Field is nearly independent of distance (meaning if 0 << z << R use the same formula) Two Uniformly Charged Disks: Capacitor Fringe field (just outside plates) Uniformly charged hollow sphere ❑ ❑ for r > R for r < R Uniformly❑charged solid sphere ❑ for r > R ❑ ❑ for r < R With multiple shapes use superposition Chapter 17: Electric Potential Electric Potential is the potential energy per unit charge ❑ ❑ Work-Energy Theorem ❑ ❑ ❑ ❑ Electric Potential ❑ ❑ Potential Difference in a Uniform field Electric Field is the negative derivative of the potential path in direction of E -> Potential < 0 path opposing E -> Potential > 0 path perpendicular to E -> Potential = 0 Potential Dif❑erence in a varying field ❑ ❑ ❑❑❑ Electrical potential is independent of
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