To understand the concept of gradient with electric field, how to understand the relationship betwee

Hello, I'll come to your questions. In electromagnetism, the electric field is a basic concept, we introduce the concept of electric potential to describe the electric field, on the one hand, because the electrostatic field is a spinless field (in layman's terms, the electric field lines are not closed), and the classical field theory tells us that if the curl of a field is 0, then this field can be expressed as a gradient of a scalar field, so we can introduce an electric potential, on the other hand, because the electric potential is a scalar quantity, compared with the vector of the electric field, it is more convenient to describe the electric field with the electric field. Gradients and differential operators are (mathematical) concepts in field theory, but electric fields are concepts in physics, so if you want to understand the gradient and differential operators of scalar fields in terms of the relationship between electric fields and electric potentials, I think it's okay, but if you want to call the electric field an electric potential gradient, then I don't agree with it, for a simple reason:

The electric field is a fundamental concept in physics, and if it is named with an electric potential gradient, it loses its physical connotation. In electromagnetism, the relationship between electric potential and electric field is as follows.

In fact, any field can be used to understand gradients and differential operators, because the concept of gradient is originally set specifically for field theory Electric potential gradients can be used, but this concept has no practical meaning, because in electric fields, we focus on the electric potential difference, not the rate of change of the electric potential difference (i.e., what you call the electric potential gradient).

Let's talk about some of my small understanding, in fact, the definition of electric field strength is the negative gradient of electric potential, because the original method of finding the electric potential difference is the electric field strength multiplied by the distance, in college terms, it is the integration of the field strength in the specified direction, and the differential of the electric potential is actually the inverse of this operation.

electric field at each pointElectric field strengthThe magnitude of the electric potential gradient at that point, and the direction of the electric field strength is opposite to the potential gradient.

Electric field strength is a basic physical quantity that describes the properties of an electric field, and it is a vector quantity, referred to as field strength. Specifies its direction with the electric field force experienced by the positive charge at that point.

The direction is the same. <>

The object of measurement is different: Electric potential energy is different from electric potential, electric potential is defined as the electric potential energy per unit charge of the charge in the electric field, electric potential energy measures the potential energy of the charge distribution in the electric field, and the main body is the electric charge. The strength of the electric field can be determined by the force on the test charge and the test point charge.

The ratio of the charge is determined.

Different angles of description: Electric potential is a physical quantity that describes an electric field in terms of energy. Electric field strength describes the electric field in terms of force. Electrostatic field.

potential energy. The difference between the potential energy of one charge at two points in the electrostatic field is equal to the electrostatic force when it moves from point A to point B.

The work done. The electric field is different from the usual physical object, it is not composed of molecular atoms, but it exists objectively, and the electric field has objective properties such as force and energy that ordinary matter has.

The nature of the force of the electric field is manifested as follows: the electric field has a force acting on the charge placed in it, and this force is called the electric field force. The energy properties of the electric field are manifested as when the charge moves in the electric field.

, the electric field force does work on the charge.

This shows that the electric field has energy).

Electric potential is a physical quantity that describes the electric field in terms of energy. Electric field strength describes the electric field in terms of force. Potential difference.

It is possible to generate an electric current in a closed circuit (when the potential difference is considerable, an insulator such as air.

It will also become a starving grandson). The electric potential is also known as the potential.

The electric field gradient round lead refers to the rate of change of the intensity of the electric orange field with the coordinates of the spatial position. Its physical significance can be explained in two ways:

1.The magnitude of the space electric field gradient reflects the ridge change rate of the electric field intensity, that is, the degree of change of the electric field intensity per unit space. The larger the space electric field gradient, the faster the electric field intensity changes at the point, and the greater the bending degree of the electric field line.

2.The electric field gradient can also reflect the force applied to the charge at a certain point. If the electric field lines are dense, the electric field gradient at the point is large, and the charge will be subjected to a greater electric field force at that point. On the contrary, if the electric field lines are sparse, the electric field gradient at this point is small, and the charge will be relatively small.