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Unformatted text preview: Constants 19 10 60 . 1 = e C 9 10 . 9 = k Nm 2 /C 2 4 1 = 12 10 85 . 8 4 1- = k C 2 /Nm 2 7 10 4- = N/A 2 or Tm/A Coulombs Law , r r q kq F 2 2 1 12 = Electric Fields, E q F = Field of Point Charge: r r kq q F E test 2 = = Continuous Charge Distributions: = r r dq k E 2 Acceleration of Particle: E m q a ) / ( = E of line/wire = r k 2 , = charge per unit length, drops as 1/r Dipoles , from to +, drops as 1/r 3 Dipole moment: qd p = Torque: sin = = E p E p Work=PE= E p U - = Electric Flux A E A d E = = Gauss Law enc q A d E = > Spherical Symmetry , radius=R Outside: 2 4 r kQ r Q E = = , drops as 1/r 2 Inside (uniformly charged): 3 R kQr E = Inside (hollow): = E > Line Symmetry , =Charge per unit length Outside: r E 2 = , drops 1/r Inside (hollow): = E Gausss Law ( cont) : > Plane Symmetry , =Charge per unit area Outside: 2 = E > Electric field=0 inside conductor in electrostatic equilibrium, charges on surface > Any net charges reside on conductors surface > Electric field at the surface is perpendicular and / = E Electric Potential PE Difference: - = B A AB r d F U Electric Potential Diff.: - = B A AB r d E V AB AB U V q = Potential of Point-Charge: r kq V r = P. of Continuous Charge Dis.: = r dq k V Dipole Potential: 2 cos r kp V = Equipotential: dx dV E x- = Energy Density: 2 2 1 E u E = Total Electric Energy stored in field: = = 2 2 1 E dV u U E Capacitors , Capacitance= V Q C / = Parallel-plate Capacitors: d A C / = Energy Stored in Cap.: 2 2 1 CV U = Capacitors in Parallel: 2 1 C C C + = > Capacitors in Parallel have same Voltage....
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