#DERIVE ELECTRIC FLUX FORMULA PDF#

This is because the position vector in case of force F 12 is r 12 and position vector in case of force F 21 is r 21, now The repulsive force F 12, that is the force on charge q 1 due to q 2 and another repulsive force F 21 that is the force on charge q 2 due to q 1 are opposite in signs, due to change in position vector. The vector form of the equation is independent of signs of both the charges, as both the forces are opposite in nature. While applying Coulomb’s Law to find out the force between two point charges, we have to be careful of the following remarks.

#DERIVE ELECTRIC FLUX FORMULA PDF#

Download Conductors and Insulators Cheat Sheet PDF The above equation is the vector form of Coulomb’s Law. Now, the force on charge q 2 due to q 1, in vector form is: To denote the direction of a vector from position vector r 1 to r 2, and from r 2 to r 1 as: The corresponding vector from q 1 to q 2 is r 21 vector. Let the force on the q 1 charge due to q 2 be F 12 and force on q 2 charge due to q 1 charge be F 21. Now, since both the charges are of the same sign, there will be a repulsive force between them.

Let there be two charges q 1 and q 2, with position vectors r 1 and r 2 respectively. Remember we denote the vector “F” as F, vector r as r and so on. The Coulomb’s law can be re-written in the form of vectors. Force is a vector quantity as it has both magnitude and direction. The physical quantities are of two types namely scalars (with the only magnitude) and vectors (those quantities with magnitude and direction). Learn more about Gauss’s Law here in detail Vector Form of Coulomb’s Law

Browse more Topics under Electric Charges And Fields This means charges of same sign will push each other with repulsive forces while charges with opposite signs will pull each other with attractive force. The value of k comes 9 × 10 9 Nm 2/ C 2 when we take the S.I unit of value of ε 0 is 8.854 × 10 -12 C 2 N -1 m -2.Īccording to this theory, like charges repel each other and unlike charges attract each other. Here, ε 0 is the epsilon naught and it signifies permittivity of a vacuum. Where k is proportionality constant and equals to 1/4 π ε 0. The distance between the charges is ‘r’, and the force of attraction/repulsion between them is ‘F’. Let’s say that there are two charges q 1 and q 2. We can show it with the following explanation. He also found that this force is directly proportional to the product of charges (magnitudes only). Therefore, we consider them as point charges as it becomes easy for us to calculate the force of attraction/ repulsion between them.Ĭharles-Augustin de Coulomb, a French physicist in 1784, measured the force between two point charges and he came up with the theory that the force is inversely proportional to the square of the distance between the charges. By the word point charge, we mean that in physics, the size of linear charged bodies is very small as against the distance between them. Coulomb’s Law gives an idea about the force between two point charges.

Derive electric flux formula