Electrical Engineering-Intro to Analog

The following is a review of some electrostatics necessary for understanding analog electronics.

Force exerted on a point charge moving in a B and E field, magnetic and electric field.

F = q(E + v x B)

Electric field generated by a point charge.

E = (1 / 4 π ε ₀ ) Q / r 2

Change in electric potential associated with charge and capacitance.

Δ V = ∫ E . dl = k Q / r = Q / C

Work done by an electric field.

Work = ∫ q E . dl = q Δ V

Power done by an electric field

Power = d Work / dt = dq Δ V / dt

Power = I Δ V

Power = I² R = V² / R (in situations where ohm's law applies)

Ohm's Law

V = I R (ohm's law)

Properties of one electron

e = 1.6 x 10 ^-19 Coulomb

1eV = 1.6 x 10 ^-19 Joule

= 11,600 ^o K

Properties of Temperature

1/40 eV ≈ 300 ^o K = 4140 Yocto-Joules

13.8 Yocto-Joule = 1^o K

Constants

ε₀ = 8.85 x 10 ^-12 Coulomb / Volt m = 8.85 pF / m

k = 1 / 4 π ε₀ = 9 x 10 ^-9 Volt m / Coulomb

μ0  = 4 π x 10 ⁷ T m / A

c = 0.3 x 10 ⁹  m / s

When E is energy in electron volts

Ε = h fλ = 1240 nm (Ε / 1eV) ^-1 

f = .24 x 10 ¹⁵  (Ε / 1eV)

Masses

m_e = .511 MeV / c²

m_p = .938 MeV / c²

N_a = 6.02 x 10²³