Dipole Moment of a System of Point Charges | Santa Fe College - Edubirdie

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

2024
Views:

63

Pages:

5
Author:

Jabin F.

Dipole moment of a system of point charges: P = (charge with sign x vector distance from origin) Calculation: p₀ = +2(d/2) + (-2)(d/2) p₀ = -2d Dipole moment depends on choice of origin. If monopole moment (total charge) of the system is zero, then dipole moment remains independent of the choice of origin. Monopole of the system in present case: φ = +2 - 2 = 0 If origin at A and B: pA = +q(0) + (-2)(d(-ẑ)) pA = qd * ẑ Electric Field (E): E = (-p₀ * (4π * ε₀ * r³)) * (ẑ / r) - (1 / (3 * 4π * ε₀ * r³)) * (p₀ * (4π * ε₀ * r³)) * ẑ E = (-p₀ / (4π * ε₀ * r³)) * (ẑ - (1/3) * ẑ) E = (-p₀ / (4π * ε₀ * r³)) * (2/3) * ẑ E_dipole = (p / (4π * ε₀ * r³)) * (2cosθ * ẑ + sinθ * θ̂) Ques 59: Diagram: A square with charges at its corners. +λ (0,0,0) -λ (0,0,d) E = ?

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