Electromagnetism

117 flashcards by MentisLibrary

The core formulas of electromagnetism with their variables and units: Coulomb's and Gauss's laws, potential, capacitance and dielectrics, DC circuits, magnetic forces and fields, induction, Maxwell's equations, AC circuits and EM waves, for calculus-based physics students.

What is Coulomb's Law?
F = kq₁q₂/r²
What is the value of Coulomb's constant?
k = 8.99 × 10⁹ N·m²/C²
What is the permittivity of free space?
ε₀ = 8.85 × 10⁻¹² C²/(N·m²)
What is the electric field?
E = F/q
What is the electric field of point charge?
E = kq/r²
What is the electric potential?
V = U/q = kq/r
What is the relationship between field and potential?
E = -∇V
What is electric potential energy?
U = kq₁q₂/r
What is Gauss's Law?
∮E·dA = Qenc/ε₀
What is electric flux?
ΦE = ∮E·dA
What is the electric field inside a conductor?
E = 0
What is the electric field of infinite plane?
E = σ/(2ε₀)
What is the electric field between parallel plates?
E = σ/ε₀
What is capacitance?
C = Q/V
What is the capacitance of parallel plates?
C = ε₀A/d
What is the energy stored in capacitor?
U = ½CV² = ½Q²/C = ½QV
What is the energy density in electric field?
u = ½ε₀E²
What is a dielectric?
Insulating material between capacitor plates
What is the dielectric constant?
κ = C/C₀
What is electric current?
I = dQ/dt
What is current density?
J = I/A
What is drift velocity?
vd = I/(nAq)
What is Ohm's Law?
V = IR
What is resistance?
R = ρL/A
What is resistivity?
ρ = E/J
What is conductivity?
σ = 1/ρ
What is power dissipated in resistor?
P = IV = I²R = V²/R
What is Kirchhoff's current law?
ΣI_in = ΣI_out
What is Kirchhoff's voltage law?
ΣV = 0 around closed loop
What is the equivalent resistance of series resistors?
Req = R₁ + R₂ + R₃ + ...