How do you find the electric field at any point?

We can find the electric field created by a point charge by using the equation E=kQr2 E = k Q r 2 .

What is the formula of electric field of a dipole?

The formula for electric dipole moment for a pair of equal & opposite charges is p = qd, the magnitude of the charges multiplied by the distance between the two.

What is the relation between electric field and dipole moment?

An electric dipole in an external electric field is subjected to a torque τ = pE sin θ, where θ is the angle between p and E. The torque tends to align the dipole moment p in the direction of E. The potential energy of the dipole is given by Ue = −pE cos θ, or in vector notation Ue = −p · E.

What is the relation between electric field due to a dipole at its axial point and its equatorial point?

Let P be a point on the axial line of the dipole. Let the distance of point P from the midpoint of the dipole be r such that r>>>a. The electric field at point P will be due to the two charges on the given dipole. The magnitude of electric field due to the charge +q will be E+q=kq(r−a)2.

What is electric field due to dipole at any point?

Electric Field due to Dipole at any Point Since the distance between the center of the dipole length and the point P is ‘r’ and the angle made by the line joining P to the center of the dipole is θ.

What is electric field due to an electric dipole?

The electric field at A due to an electric dipole, is perpendicular to the dipole moment vector →P, the angle θ is: 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 center of the dipole.

What is electric field due to electric dipole?

The electric field strength due to a dipole, far away, is always proportional to the dipole moment and inversely proportional to the cube of the distance. Dipole moment is the product of the charge and distance between the two charges. Let’s derive the expression for this field on the equator of the dipole.

What is electric dipole calculate electric field at a point due to electric dipole?

E acts in the direction of the dipole moment. Therefore, the expression for the electric field intensity due to an electric dipole at a point on its axial line is E=q4π∈∘. 2(2d)r3=14π∈∘.

What is electric field at any point due to dipole?

How do you find the electric field intensity of a dipole?

Consider a short electric dipole AB having dipole moment p. Let the point of interest is at a distance r from the centre O of the dipole. Let the line OP makes an angle θ with the direction of dipole moment p. Point P is on the axial line with respect to pcosθ. So, electric field intensity at

What is a point dipole?

• Suppose the distance 2a approaches zero and q approaches infinity such that the product of 2aq = p is finite, then the dipole is called a point dipole • For such point dipoles, equations of electric field due to an electric dipole at points along axis and equitorial line are exact and hold true for any r. 10.

Why does the electric field taper off faster at a distance?

Notice that in both cases the electric field tapers quickly as the inverse of the cube of the distance. Compared to a point charge which only decreases as the inverse of the square of the distance, the dipoles field decreases much faster because it contains both a positive and negative charge.

What is the torque of a dipole with P 2aq?

Since p = 2aq, the torque is written in terms of the vector product as 14. • If the electric field is not uniform, then the force experienced by +q is different from that experienced by –q. In addition to the torque, there will be net force acting on the dipole