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CBSE Class 12-science Answered

what is the electric field due to a dipole on an equitorial plane.
Asked by singhdivyanshu633 | 28 Jan, 2016, 07:42: PM
answered-by-expert Expert Answer
For an electric dipole consisting of two charges -q and +q seperated by a distance '2a', the electric field intensity at a pont on the equitorial line of the dipole at a distance 'r' is given as

begin mathsize 12px style straight E equals fraction numerator 1 over denominator 4 πε subscript straight o end fraction cross times fraction numerator 2 aq over denominator open parentheses straight r squared plus straight a squared close parentheses to the power of begin display style bevelled 3 over 2 end style end exponent end fraction end style

If r >>a, then a2 can be neglected in comparision to r2. Then, 
begin mathsize 12px style straight E equals fraction numerator 1 over denominator 4 πε subscript straight o end fraction cross times straight P over straight r cubed In space vector space forn comma straight E with bar on top equals fraction numerator straight P with bar on top over denominator 4 πε subscript straight o straight r cubed end fraction Or comma space straight E proportional to 1 over straight r cubed end style
 
Answered by Yashvanti Jain | 29 Jan, 2016, 11:58: AM
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