Equal amount of dissimilar charge and other potential surface problems for help

u kq r 2 is the field strength formula.

It's not an electric potential formula, so it can't be used.

In the middle of the line of two equal heterogeneous charges.

face), moving from one point to another, the electric potential energy is not the same because the field strength is zero, the Coulomb force.

Zero, no work. and e=q, so the electric potential is also unchanged. That is, the electric potential of any point on the perpendicular line (surface) connected by two equal-weight dissimilar charges is equal to the electric potential of one point at infinity (on the perpendicular surface of the connection of two equal-weight dissimilar charges), and the electric potential at infinity is zero, so the equipotential on the perpendicular surface is 0

On the perpendicular line (surface) connected by two equally heterogeneous charges, the electric potential is 0 everywhere.

This can be better understood by the principle of potential superposition.

The potential of the electric field generated by the point charge q: u kq r 2, q is the field source charge (both positive and negative), and r is the distance from q.

Obviously, on the perpendicular line (surface) of an equal amount of dissimilar charge, the potential of the two point charges is equal in absolute value, but with a negative sign, and the result of the superposition is 0 (the algebraic sum is 0).

The midpoint potential of the connection is 0 because the positive and negative charges at the midpoint produce a field that is strong and small, equal and opposite in the opposite direction, and the vector sum is 0

You imagine moving a charge along this surface, and the electric field force experienced by that charge is always perpendicular to the direction of motion, that is, the electric field force does not do work. Because the potential energy moving along this surface is constant, the potential is constant. It's an equipotential surface.

In layman's terms, plus or minus U is offset.

The figure below shows the electric field lines of the same amount of dissimilar electric rule beam cover.

and equipotential surfaces.

As can be seen from the diagram, the vertical plane of the equal amount of dissimilar charge line is an equipotential plane and a plane, which can be extended to infinity, while the other isopotential surface is a closed surface and cannot be extended to infinity.

Generally, in theoretical research, the electric potential at infinity is always selected to be zero, so the electric potential of this vertical surface is bound to be zero, which is why the electric potential of the vertical surface of the same amount of heterogeneous charge line is generally zero.

Of course, in the actual research process, sometimes Sun Nao's other surfaces are selected as zero potential surfaces, so the electric potential of the middle vertical surface is not zero.

The value of electric potential is only relative, not absolute, and the selection of the zero potential surface can be flexibly selected according to needs. In theoretical research, it is customary to choose the electric potential at infinity as zero, and in practical application, it is customary to choose the place as the zero point of electric potential.

On the two charge lines, the potential gradually decreases from positive to negative. The field strength is the lowest at the midpoint of the two charge lines, and gradually increases from the midpoint to both sides, and the values are symmetrical with respect to the midpoint. On the perpendicular line of the two charges, if the electric potential at infinity is specified to be 0, then the potential of the electric abrasion trace at each point on the perpendicular line of the Zhongzhou Bridge is equal and 0.

1.Electric field of an equal amount of dissimilar point charge.

The electric field intensity direction of each point on the two-point charge line is from the positive point charge to the negative point charge, and the electric field strength decreases first and then increases along the direction of the electric field line, and the electric field strength at the midpoint is the smallest.

On the middle perpendicular surface (line) of the two points of charge connection, the direction of the electric field strength is the same, and the total and perpendicular surface (line) point to the side of the negative point charge, and the electric field intensity decreases continuously from the midpoint to infinity, and the electric field intensity at the midpoint is the largest.

2.The electric field of an equivalent point charge.

The field strength at the midpoint of the two-point charge line is 0, which gradually increases to both sides, and the direction points to the midpoint.

When the vertical plane (line) of the midpoint of the two-point charge line reaches infinity, the electric field line first becomes dense and then sparse, that is, the electric field intensity first becomes larger and then smaller, and the direction deviates from the midpoint.

The electric field distribution of an equal amount of the same negative point charge is the same as that of an equal amount of the same positive point charge, but in opposite directions.

Equal to the same species. The field strength at the midpoint of the connection line is 0, the maximum field strength exists outward from the middle perpendicular line, and the field strength at infinity is 0For example, the same species of the fruit is positive.

The closer the electric potential is, the greater the charge. The electric potential at any point on the line is greater than the sagging. Two negative ones are in the middle of the vertical at any point where the potential is greater than that of the wire.

For the same amount of heterogeneous, the field strength of the connection must be greater than that of the middle sag. The field strength of the midpoint of the early line is the smallest, and the field strength of the midpoint of the vertical is the largest. The vertical line is an equipotential surface (it is generally considered that the electric potential is 0 early).

<> these are two positive electric state markers.

The equipotential surface of the two negatively charged sails and the sum of the number of negatively charged sails (dashed line) are the same as it. It's just power lines.

In the opposite direction.

When equal amounts of xenocharged charges are placed on an enclosed metal surface, they will produce an equipotential surface distribution.

Specifically, when positive and negative charges are placed on a metal surface, they form two isogrinding or rolling surfaces with equal electric potential, respectively, on the metal surface. This is because the positive and negative charges cause an electric field inside the metal that causes the free electrons to move on the surface of the metal until the potential energy of the free electrons happens to be equal to the potential produced by the positive and negative charges and forms an equipotential surface on the surface.

In an ideal case, an equipotential surface is often described as an "infinitely smooth" surface that will distinguish regions with different potentials. An isopotential diagram can be used to visualize the distribution of isopotential surfaces. These contours are uniformly distributed outward in the normal direction and parallel to the surface, and the contour lines of the two dissimilar charges are staggered with each other.

It is important to note that the situation described here is that a dissimilar charge is placed on a closed metal surface and the interaction between the charges is ignored. In practice, the interaction between the charges can cause the isopotential lines to shift and distort, and the isopotential surface can be more complex when there are multiple sets of charges at the same time. <>

Equal amounts of the same charge.

is an equipotential surface. Equal amount of heterogeneous charge.

The electric potential gradually weakens.

The perpendicular potential in the case of an equal amount of dissimilar charge is determined by the strength of the electric field in space. The essence of the perpendicular potential is a special electric potential, which is the potential value of an electric potential line on a straight line perpendicular to the direction between the charges starting from the center point of a set of charges. In this case, for a point perpendicular to the line between the charges, the potential difference on the iron wire is equal to the perpendicular potential.

The perpendicular potential is a type of electric potential that is dependent on the longitudinal position, and for an equal amount of dissimilar charge, it is usually calculated by calculating the electric field based on Gauss's theorem. This is because the special nature of the charge distribution makes the calculation of the electric field very difficult.

Further expansion and analysis show that electric potential family accompaniment is one of the most basic concepts in the study of electric field. In electrostatics, electric potential is defined as the potential energy possessed by a unit of positive charge. Simply put, the potential of a point in an electric field is the change in potential energy along the path from that point to the point at infinity.

From this point of view, the concept of an electric field is easier to understand than an electric potential. It is also a concept of a vector quantity, which is divided into scalar electric field and vector electric field like electric potential. According to Coulomb's law, there is a repulsive force between the same charges, and there is an attractive force between the different charges, so the perpendicular potential in the same amount of dissimilar charge is a purely mathematical concept that cannot be intuitively understood.

This is where Gauss's theorem comes into play to calculate the electric field.

Gauss's theorem is a very important theorem in electrostatics, which can be used to calculate the flux of an electrostatic field. The theorem states that the amount of electric flux in a closed surface is equal to the total amount of electric charge in the space enclosed by the surface. Therefore, by applying Gauss's theorem, the calculation of the perpendicular potential can be simplified to the calculation of the electric field, because the electric potential is the integral of the electric field along a particular path, and the electric field can be regarded as the derivative of the field strength.

By calculating the integral of the electric field along the desired path, the perpendicular potential can be obtained, and there is no need for a separate calculation.

In summary, the perpendicular potential in an equal amount of dissimilar charge is determined by the distribution of the electric field in space and the chosen path. With Gauss's theorem, the process of calculating the perpendicular potential can be simplified to the calculation of the electric field. This method of calculating the perpendicular potential from an electric field can be applied to many other problems with electromagnetic fields.