What is the electric field intensity at any point on axial line of an electric dipole?

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 intensity at axial axis?

Derive an expression for the electric field intensity at a point on the axis of an electric dipole. The force experienced by a unit positive charge placed at a point is termed as the electric field intensity at that point. It is vector quantity it’s direction is in the force acting on +ive charge.

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What is an electric dipole calculate electric field intensity at a point on the axial line of a dipole?

(1) Consider an electric dipole consisting of two charges –q and +q separated by a distance ‘2a’ with centre ‘O’. (2) We shall calculate electric field E at point P on the axial line of dipole, and at a distance OP = r. (3) Let E1 and E2 be the intensities of electric field at P due to charges +q and –q respectively.

What is electric field intensity derive an expression for the electric field at any point on the equatorial line of electric dipole?

Let P be a point at a distance r from the center of the dipole on the equatorial line, where the electric field is to be calculated. Let E1 be electric field intensity at P due to charge –q. Therefore, From right-angled triangle AOP, we have AP = √r2 + a2 .

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 the direction of field intensity at a point I on axial line of dipole and II on equatorial line of dipole?

For a point on the equatorial line of dipole, the direction of electric, field →E is along a line parallel to the axis of dipole directed opposite to the direction of dipole moment →P.

What is axial point and Equatorial point?

Axial line is the line which is passing through the positive and negative charges and the point lies on that line is called the axial point. Equatorial line is the perpendicular line to the line passing through the positive and negative charges and the point lies on that line is known as the equatorial point.

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What is the electric field intensity?

The electric field intensity at a point is the force experienced by a unit positive charge placed at that point. Electric Field Intensity is a vector quantity. It is denoted by ‘E’. Formula: Electric Field = F/q. Unit of E is NC1 or Vm1.

What is electric dipole Class 12?

The electric dipole is a pair of two equal and opposite charges, +q and −q are separated by a very small distance. … The electric dipole moment of the electric dipole is defined as the product of the magnitude of one of the charges of the dipole and the separation distance between them.

What is electric field intensity derive an expression?

Goal: To find electric field at point P on the axial line of the dipole, OP=r. Let E1​ and E2​ be electric field on P due to charges +q and −q respectively. E1​=(r−a)2kq​ along AP. E2​=(r+a)2kq​ along BP.

What do you mean by electric field intensity and electric dipole moment derive an expression for electric field intensity on its Equitorial line of an electric dipole?

Electric dipole moment is defined as the product of either charge and the length of the electric dipole. Electric field on equitorial line of an electric dipole: … At the centre, the charge of 1 μC is placed. As qA = qc, the charge of 1 μC experiences equal and opposite forces FA and Fc due to charges qA and qC.

What is the expression of electric potential at a point on its equatorial plane?

Therefore, the electric potential due to an electric dipole at a given point is equal to KPcosθr2−a2cos2θ. … Hence, V=KPcos(π2)r2−a2cos2(π2)=KP(0)r2−a2(0)=0. Therefore, when the given point is on the equatorial axis, the electric potential is zero.

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What will be the electric field at a point on equatorial line?

The direction of electric field at equatorial point A or B will be in opposite direction to that of direction of dipole moment. Q. Two opposite charges each of magnitude 2μC are 1cm apart.

How do you find the electric field at any point?

The electric field E is defined to be E=Fq E = F q , where F is the Coulomb or electrostatic force exerted on a small positive test charge q. E has units of N/C. The magnitude of the electric field E created by a point charge Q is E=k|Q|r2 E = k | Q | r 2 , where r is the distance from Q.