/// <summary>
/// Finds the electric field at a position relating to a charged physical object.
/// </summary>
/// <param name="p">Physics Object</param>
/// <param name="position">Spacial position for measurement</param>
/// <returns></returns>
public static Vector ElectricFieldAtPoint(this PhysicsObjectBase p, Vector position)
{
/// F = k * (p q / r^2) r_hat
///
///r_hat <==== unit vector in direction pq
return((Constants.Common.K_Coulomb * p.Charge / Math.Pow(p.Position.DistanceTo(position), 2)) * (position - p.Position).Normalised());
}
public static Vector ElectricForce(this List <PointCharge> charges, PhysicsObjectBase q)
{
Vector force = new Vector();
foreach (PhysicsObjectBase p in charges)
{
force += p.ElectricForceOn(q);
}
return(force);
}
public static Vector ElectricForceOn(this PhysicsObjectBase p, PhysicsObjectBase q)
{
return(p.ElectricFieldAtPoint(q.Position) * q.Charge);
}
/// <summary>
/// Calculates the distance in metres between two physical objects
/// </summary>
/// <returns>Distance in metres</returns>
public static double DistanceTo(this PhysicsObjectBase obj, PhysicsObjectBase obj2)
{
return((obj.Position - obj2.Position).Abs());
}
