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CBSE Class 12-science Answered

derive an expression for electric field intensity at a npoint due to a point charge.. what is the nature of symmetry of this field?
Asked by Balan | 26 Mar, 2018, 01:00: PM
answered-by-expert Expert Answer
Let us have a positive charge q at a point O. Let us bring another positive test charge Q at a point P . Let the distance OP be r.
Then The force F experienced by the test charge Q is  given by
begin mathsize 12px style F space equals space fraction numerator q Q over denominator 4 pi epsilon subscript 0 r squared end fraction end style
Electric field due to the point charge q is defined as the force experienced by unit charge.
begin mathsize 12px style E space equals space F over Q space equals space fraction numerator q over denominator 4 pi epsilon subscript 0 r squared end fraction end style
Since this field intensity depends only on distance r, the symmetry is spherical symmetry
Answered by Thiyagarajan K | 28 Mar, 2018, 07:27: AM

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