What is the concept of electrical image?

a collection of electrical points regarded as forming, by an analogy with optical phenomena, an image of certain other electrical points, and used in the solution of electrical problems. …

What is the concept of electric dipole?

An electric dipole is defined as a couple of opposite charges q and –q separated by a distance d. By default, the direction of electric dipoles in space is always from negative charge -q to positive charge q. The midpoint q and –q is called the centre of the dipole.

What happens when a dipole is placed in a uniform electric field?

The direction of the electric force depends on the nature of charge. If the charge is positive, then the direction of the electric force is in the direction of the electric field. Hence, the electric force on a dipole when it is placed in a uniform electric field is always zero.

How does a dipole align in an electric field?

A dipole is induced in a neutral atom by an external electric field. The induced dipole moment is aligned with the external field. Similarly, on the axis of the dipole (but outside it), the field points in the same direction as the dipole, again getting weaker the further one gets from the charges.

Why is image theory necessary?

Image theory can be used to derived closed form solutions to boundary value problems when the geometry is simple and has a lot of symmetry. These closed form solutions in turn offer physical insight into the problems.

What is uniqueness theorem in electrostatics?

The uniqueness theorem states that if we can find a solution that satisfies Laplace’s equation and the boundary condition V = V0 on Γ, this is the only solution.

What do you understand by electric dipole and electric dipole moment?

An electric dipole is a separation of positive and negative charges. The electric dipole moment is the product of the magnitude of the charge and the distance between the centres of positive and negative charges.

What happens when an electric dipole is kept in a uniform electric field will it have translatory and rotatory motion?

When an electric dipole is placed in a uniform field at an angle θ with the field, the dipole experiences a torque. In this way, dipole will have both rotational as well as linear motion. So, both assertion and reason are true. Reason also explains the assertion.

Why an electric dipole placed in a uniform electric field does not undergoes acceleration?

Explanation: Because the force on negative charge and the force on positive charge equal and opposite direction so it does not undergo acceleration because Force net is always zero.

What is dipole of an electric field and electric dipole moment?

Two equal and opposite charges separated by some distance constitute a dipole. The product of the charge and distance between them is called the dipole moment. Dipole moment represents the strength of the dipole. The electric field generated by the dipole is proportional to the dipole moment.

What is the first phase of decision making according to image theory?

Image theory resurrects the question of screening. It proposes that decision making indeed has two steps, screening and choice, but that because screening determines the choice set from which the best will be chosen, it clearly is as central to the process as choice is.

What is an electric dipole moment?

The electric dipole moment associated with two equal charges of opposite polarity separated by a distance ‘d ’ is defined as the vector quantity having a magnitude equal to the product of the charge and the distance between the charges and having a direction from the negative to the positive charge along the line between the charges.

Why does a dipole travel in the direction of increasing field?

When a dipole is placed in a nonuniform electric field such that its dipole moment is in the direction of field, the dipole always travel in the direction of increasing field. Now think of another case. Dipole moment of the dipole is opposite to the direction of the field. q E 1 is still greater than q E 2.

What is the total charge induced on the plane of dipole?

The total charge induced on the plane turns out to be simply –q. This can also be seen from the Gauss’s law, considering that the dipole field decreases at the cube of the distance at large distances, and the therefore total flux of the field though an infinitely large sphere vanishes.

Why do electric field lines cross the surface of a box?

The reason is that the sources of the electric field are outside the box. Therefore, if any electric field line enters the volume of the box, it must also exit somewhere on the surface because there is no charge inside for the lines to land on.