What is the significance of expressing Coulomb's Law in vector form?

Asked by Biju Jacob | 5th Apr, 2013, 01:22: PM

Expert Answer:

In order to obtain both the magnitude and direction of the force on a charge, q 1 at position , experiencing a field due to the presence of another charge, q 2 at position , the full vectorform of Coulomb 's law is required.

 

where r is the separation of the two charges. This is simply the scalar definition of Coulomb 's law with the direction given by the unit vector, , parallel with the line from charge q 2 tocharge q 1 .

Coulomb's law in vector form:  According to Coulomb's law the force of interaction between any two point charges is directly proportional to the product of the charges and inversely proportional to the square of the distance between them.

 

In figure,

Answered by  | 5th Apr, 2013, 02:41: PM

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