Physics 1e03 Formula Sheet 1

Formula Sheet (Including the stuff not on the real formula sheet)

From Gauss’ Law
Flux perpendicular r to E is equal to zero. Flux entering a surface is negative. Flux leaving a surface is positive. The flux entering a surface is the same as the flux leaving it.

A Hemisphere with charge in front of flat surface:

Gaussian Surfaces
Exterior to a uniformly charged insulating sphere of radius “a” and total charge Q:

Interior (still an insulating sphere)

Interior of a uniformly charged conducting sphere

Infinite Flat Field

Gaussian Cylinder around an Infinite Line

Just outside surface of a charged conductor

Electric Fields

dE is the electric field produced by a tiny piece of charge dq.

X-Component of Electric Field for a Uniformly Charged Ring

Electric Field of a Charged Rod

Electric Field Between Two Parallel Plates of Opposite Charge

Tiny Piece of Charge (dq)

Charge Densities

Potential Energy

Total Potential Energy for a System of Three Charged Particles

Acceleration of a Particle

Speed of a Particle between Two Plates

Voltage

Capacitance
Potential Energy Stored in a Capacitor

When Two Capacitors are in Series