On the Relations between Ampere Force and Lorentz Force

Ampere force and Lorentz force are two different definitions in the field of electromagnetism. Some teaching materials have been confused by the relations and differences of the tow definitions. Generally speaking, Ampere force is not the resultant of Lorentz force which all the free electrons have in the carrier wire, either in numerical value or orientation. Acting in numerical value, Ampere force equals the algebra sum of the Lorentz components forces which all the free electrons endured in the (L×B) directions.