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 the relation between electric field due to dipole at axial and 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 the expression of electric field?
In vector calculus notation, the electric field is given by the negative of the gradient of the electric potential, E = −grad V. This expression specifies how the electric field is calculated at a given point. Since the field is a vector, it has both a direction and magnitude.
What is the electric field intensity at the equatorial line of a dipole?
The line perpendicular to the axial line and passes through the centre of the electric dipole length is called an equatorial line. Consider an electric dipole AB consisting of +q and -q charges separated by a distance 2l. Let P be the point on the equatorial line at a distance r from the centre O of the dipole.
What is the relation between electric field and potential?
The relationship between potential and field (E) is a differential: electric field is the gradient of potential (V) in the x direction. This can be represented as: Ex=−dVdx E x = − dV dx . Thus, as the test charge is moved in the x direction, the rate of the its change in potential is the value of the electric field.
What is electric potential in a region where electric field is zero?
If the electric field is zero, then the potential has no gradient i.e.: the potential is equal across space. But potential is always measured relative to a baseline, so it can therefore be considered as zero.
What is the relation between axial and equatorial electric field?
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.
What is meant by electric field intensity?
A measure of the force exerted by one charged body on another. The electric field intensity (volts/meter) at any location is the force (Newtons) that would be experienced by unit test charge (Coulombs) placed at the location. …
What is unit of electric dipole moment?
The electric dipole moment is actually a vector quantity. The direction of this vector quantity is from the negative charge to the positive charge of the dipole. The SI unit of electric dipole moment is coulomb-meter (Cm) while the C.G.S unit of electric dipole moment is debye.
What is the magnitude of an electric field?
The magnitude of the electric field is simply defined as the force per charge on the test charge. The standard metric units on electric field strength arise from its definition.
What is electric field and its formula?
Electric field can be considered as an electric property associated with each point in the space where a charge is present in any form. An electric field is also described as the electric force per unit charge. The formula of electric field is given as; E = F /Q.
Can electric field be negative?
Electric field is not negative. It is a vector and thus has negative and positive directions. An electron being negatively charged experiences a force against the direction of the field. For a positive charge, the force is along the field.