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CBSE Class 12-science Answered

Give Coulomb's law in vector form. What is the significance of expressing it in the vector form?
Asked by Topperlearning User | 17 Apr, 2015, 09:34: AM
answered-by-expert Expert Answer

If two charges q1 and q2 are kept at r distance apart then, according to Coulomb's law

Force on charge q2 due to q1, begin mathsize 11px style straight F with rightwards arrow on top subscript 21 space equals space fraction numerator 1 over denominator 4 straight pi element of subscript 0 end fraction times fraction numerator straight q subscript 1 straight q subscript 2 over denominator straight r squared end fraction straight r with hat on top subscript 12 end style

Force on charge q1 due to q2, begin mathsize 11px style straight F with rightwards arrow on top subscript 12 space equals space fraction numerator 1 over denominator 4 straight pi element of subscript 0 end fraction times fraction numerator straight q subscript 1 straight q subscript 2 over denominator straight r squared end fraction straight r with hat on top subscript 21 end style
As the Coulomb force acts along  begin mathsize 11px style straight r with rightwards arrow on top subscript 12 end style or  begin mathsize 11px style straight r with rightwards arrow on top subscript 21 end style i.e the line joining the centers of two charges, so they are the central force.

Answered by | 17 Apr, 2015, 11:34: AM

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