Electric Field on Continuous Charge Distribution
collection of point charges organized into a shape
dE = k(dq)/r² * r̂
Linear Charge Density (λ)
UNIFORM OBJECTS ONLY
Q/L
Units: C/m
Surface Charge Density (σ)
UNIFORM OBJECTS ONLY
Q/A
Units: C/m²
Volumetric Charge Density (ρ)
UNIFORM OBJECTS ONLY
Q/V
Units: C/m^3
Electric Power
P = IΔV = I²R = ΔV²/R
Motional emf
ϵ = vBL (L = conductor length)
Inductance of Ideal Solenoid
L = µN²A / l
(N = number of turns)
(l = length of solenoid)
(A = cross-sectional area)
LC Circuits
SIMPLE HARMONIC MOTION
ω = 1/√(LC) = 2pi/T