The graphical representation of rectilinear motion is done in the following relations : x-t (distance-time) graph v-t (velocity-time) graph a-t (acceleration-time) graph x-t (distance-time) graph In this graph, time is displayed along the x-axis and various positions of the object are displayed along the y-axis. Use- The motion of a stationary object, an object moving … Read more
When a particle is moving with uniform acceleration along a straight line, then the mathematical equation by which the relationships of the quantities like velocity, acceleration, displacement etc. Of such particle are expressed is called the equation of motion of the object. The following equations of motion are : v=u+at s=ut+at²/2 v²=u²+2as Deduction of equations … Read more
Electric flux The number of the magnetic lines of force passing through a surface is called as electric flux. That is, Electric flux is the measure of the number of magnetic lines of force passing through a surface and it represents the intensity of the electric field as a ratio of the number of electric … Read more
Gauss’s law According to this law, The electric flux Φₑ passing through a closed surface is 1/∈₀ times the total charge q enclosed by that surface. That is, total electric flux Φₑ = q/∈₀ where ∈₀ is the permittivity of vacuum or, Φₑ =∫Φ→E.→A = q/∈₀Gauss’s theorem in integral form. Φₑ = q/∈₀ Where ∈₀ … Read more
Consider a positive charge +q due to which the intensity of the electric field at a point P is to be calculated. To find the intensity of electric field at point P, consider the positive test charge qₒ situated at that point. Therefore, Electric force on positive test charge qₒ F = [1/4π€₀].[q.q₀/r²] Newton Electric … Read more
Intensity of electric field near a charged plane sheet of infinite extension Suppose that on one surface of a uniformly charged flat sheet of infinite extension whose surface density is δ. Near a positively charged flat sheet of infinite extension, there is a point P at a distance r from the sheet at which the … Read more
Intensity of the electric field due to uniformly distributed charge on a wire of infinite length. Or, Intensity of the electric field near a uniformly charged straight wire of infinite length. Suppose a charge is uniformly distributed on a line of length l. If linear density of the distributed charge is λ, Then the linear … Read more
Distance And Displacement 1. Distance Suppose an object is along the x-axis. In time t₁ the object reaches A from the original point and in time t₂ the object reaches B from the original point. AB=(x₂-x₁)=∆x Duration, ∆t=(t₂-t₁) Therefore, the length between two points in a given period of … Read more
Electric dipole Electric dipole is a system in which two equal but opposite type of point charges are located at a short distance from each other. The product of any one charge and the short distance between the two charges is called electric dipole moment. It is represented by P. P= q.2l cm (meter . … Read more
1. Axial or Longitudinal Position Suppose an electric dipole with dipole moment P. We want to calculate the electric field intensity at a point P located at a distance r from the centre o of the dipole. Electric field intensity at point P due to +q charge E₁ = [1/4π€0].q/(r+l)²] Similarly, Electric field intensity at … Read more
