University:
Santa Fe College
Course:
ETS 2527C | Electromechanical Components and Mechanisms
Academic year:

2024
Views:

166

Pages:

4
Author:

Jabin F.

Uniform Electric Field: Fnet = (2E+ - qE-)hat(n) = 2(E+ - E-)hat(x) = q(Delta E)hat(x) Delta E = E+ - E- = 0 Fnet = 0 Net Force on an Electric Dipole: Net force acting on an electric dipole in uniform electric field is zero. Torque: tau = (r x F) = (r+ x F+) + (r- x F-) (Right Hand Grip Rule) = (2d/2 * sin(theta)E+) + (2d/2 * sin(theta)E-) tau = pE sin(theta) (into the page) tau = (p x E) (into the page) Potential Energy of a Dipole in an Electric Field: U = -p * E = -pEcos(theta) Case I: theta = 0 tau = 0 U = -pE (more stable) Case II: theta = 180 tau = 0 U = +pE Equations: P = ∫∫∫ ρ r² dr dθ dϕ ρ = ρ₀ e^(-r/r₀) * cos²θ P = ∫₀^∞ ∫₀^π ∫₀^2π ρ₀ e^(-r/r₀) * cos²θ * r² sinθ dr dθ dϕ P = ρ₀ ∫₀^∞ r² e^(-r/r₀) dr ∫₀^π sinθ cos²θ dθ ∫₀^2π dϕ P = ρ₀ ∫₀^∞ r² e^(-r/r₀) dr * (2/3) * (2π) P = ρ₀ * (2π) * (2/3) * ∫₀^∞ r² e^(-r/r₀) dr ∫₀^∞ x² e^(-ax) dx = 2/a³ P = ρ₀ * (2π) * (2/3) * (2/r₀³) P = (8π/3) * ρ₀ * r₀³ Charge is uniform dipole moment (6) 24 80 option (a) Permanent Electric dipole moment of atom is zero. Induced Electric dipole moment of atom is non-zero. Ques.12.1 Y P-25 2 29+ [3147 =+^ V= (2) 4TREO +6² +1(4,6) 16 A + 1510) ۱۷ PGSO 98 Viipole = = 4TE (22) 4πεο () = 262 TEL d