Stability	experimental
Maintainer	Scott N. Walck <walck@lvc.edu>
Safe Haskell	Trustworthy

Physics.Learn.Charge

Contents

Charge
Electric Field
Electric Flux
Electric Potential

Description

This module contains functions for working with charge, electric field, electric flux, and electric potential.

Synopsis

Charge

type Charge = Double Source

Electric charge, in units of Coulombs (C)

data ChargeDistribution Source

A charge distribution is a point charge, a line charge, a surface charge, a volume charge, or a combination of these. The ScalarField describes a linear charge density, a surface charge density, or a volume charge density.

Constructors

PointCharge Charge Position	point charge
LineCharge ScalarField Curve	`ScalarField` is linear charge density (C/m)
SurfaceCharge ScalarField Surface	`ScalarField` is surface charge density (C/m^2)
VolumeCharge ScalarField Volume	`ScalarField` is volume charge density (C/m^3)
MultipleCharges [ChargeDistribution]	combination of charge distributions

totalCharge :: ChargeDistribution -> Charge Source

Total charge (in C) of a charge distribution.

Electric Field

eField :: ChargeDistribution -> VectorField Source

The electric field produced by a charge distribution. This is the simplest way to find the electric field, because it works for any charge distribution (point, line, surface, volume, or combination).

eFieldFromPointCharge Source

Arguments

:: Charge	charge (in Coulombs)
-> Position	of point charge
-> VectorField	electric field (in V/m)

Electric field produced by a point charge. The function eField calls this function to evaluate the electric field produced by a point charge.

eFieldFromLineCharge Source

Arguments

:: ScalarField	linear charge density lambda
-> Curve	geometry of the line charge
-> VectorField	electric field (in V/m)

Electric field produced by a line charge. The function eField calls this function to evaluate the electric field produced by a line charge.

eFieldFromSurfaceCharge Source

Arguments

:: ScalarField	surface charge density sigma
-> Surface	geometry of the surface charge
-> VectorField	electric field (in V/m)

Electric field produced by a surface charge. The function eField calls this function to evaluate the electric field produced by a surface charge.

eFieldFromVolumeCharge Source

Arguments

:: ScalarField	volume charge density rho
-> Volume	geometry of the volume charge
-> VectorField	electric field (in V/m)

Electric field produced by a volume charge. The function eField calls this function to evaluate the electric field produced by a volume charge.

Electric Flux

electricFlux :: Surface -> ChargeDistribution -> Double Source

The electric flux through a surface produced by a charge distribution.

Electric Potential

electricPotentialFromField Source

Arguments

:: Position	position where electric potential is zero
-> VectorField	electric field
-> ScalarField	electric potential

Electric potential from electric field, given a position to be the zero of electric potential.

electricPotentialFromCharge :: ChargeDistribution -> ScalarField Source

Electric potential produced by a charge distribution. The position where the electric potential is zero is taken to be infinity.