Question

coulomb's law in vector form ?

Answer 1

The physical quantities are of two types namely scalars (with the only magnitude) and vectors (those quantities with magnitude and direction). Force is a vector quantity as it has both magnitude and direction. The Coulomb’s law can be re-written in the form of vectors. Remember we denote the vector “F” as F, vector r as r and so on.

Let there be two charges q1 and q2, with position vectors r1 and r2 respectively. Now, since both the charges are of the same sign, there will be a repulsive force between them. Let the force on the q1 charge due to q2 be F12 and force on q2 charge due to q1 charge be F21. The corresponding vector from q1 to q2 is r21 vector.

r21 = r2 – r1

To denote the direction of a vector from position vector r1 to  r2 , and from r2 to r1 as:

Now, the force on charge q2 due to q1, in vector form is

The above equation is the vector form of Coulomb’s Law.

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Answer 2

dear I prove coulomb law in vector form for you .....

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I hope it helps you