What is meant by a field in physics?

field, In physics, a region in which each point is affected by a force. The strength of a field, or the forces in a particular region, can be represented by field lines; the closer the lines, the stronger the forces in that part of the field. See also electromagnetic field.

How many field equations are there?

What Does It Mean? The Einstein Field Equations are ten equations, contained in the tensor equation shown above, which describe gravity as a result of spacetime being curved by mass and energy.

What are the fundamental field equations?

Abstract: The fundamental field equations for electromagnetic fields are Maxwell’s equations. This chapter reviews differential and integral forms of these equations and discusses boundary conditions, energy relations, Poynting’s theorem, the uniqueness theorem, and the reciprocity theorem.

What is field in algebra?

I LINEAR ALGEBRA. A. Fields. A field is a set of elements in which a pair of operations called multiplication and addition is defined analogous to the operations of multiplication and addition in the real number system (which is itself an example of a field).

What is field in field theory?

A field is a physical quantity that has a value at each point in space and time [from Wikipedia: fields in the physical sense]. Physical quantities can be measured by definition. Fields are described by mathematical functions of space-time locations.

What is Newton’s equation?

Newton’s second law, which states that the force F acting on a body is equal to the mass m of the body multiplied by the acceleration a of its centre of mass, F = ma, is the basic equation of motion in classical mechanics. …

Who solve Einstein’s equation?

physicist Karl Schwarzschild
In 1916, almost immediately after Einstein released his theory of general relativity, the German physicist Karl Schwarzschild found an exact solution to the equations that describes what we now know as a black hole (the term wouldn’t be invented for another five decades).

What is Einstein’s equation?

E = mc. E = mc2, equation in German-born physicist Albert Einstein’s theory of special relativity that expresses the fact that mass and energy are the same physical entity and can be changed into each other.

What are electromagnetic field equations?

F = q (E + v × B). The electric displacement D and magnetic intensity H are related to the electric field and magnetic flux density by the constitutive relations: D = ε E, B = µ H.

What are Einstein’s field equations in physics?

Einstein field equations. The Einstein field equations ( EFE; also known as Einstein’s equations) comprise the set of 10 equations in Albert Einstein ‘s general theory of relativity that describe the fundamental interaction of gravitation as a result of spacetime being curved by mass and energy.

Is a field equation a differential equation?

Field equations are not ordinary differential equations since a field depends on space and time, which requires at least two variables.

What is the difference between field equations and wave equations?

Field equations underlie wave equations, because periodically changing fields generate waves. Wave equations can be thought of as field equations, in the sense they can often be derived from field equations.

What are the properties of classical field equations?

Classical field equations describe many physical properties like temperature of a substance, velocity of a fluid, stresses in an elastic material, electric and magnetic fields from a current, etc. They also describe the fundamental forces of nature, like electromagnetism and gravity.