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Home / Doubts and Solutions/KERALA/Class 12 Science/Physics

The potential along equitorial line is zero.How can there be an electric field on the equitorial line?

Asked by Sumayya 14th October 2015, 8:23 PM
Answered by Expert
Answer:
begin mathsize 12px style The space potential space at space any space point space due space to space an space electric space dipole space is colon straight V equals fraction numerator 1 over denominator 4 πε subscript 0 end fraction fraction numerator pcos space straight theta over denominator open parentheses straight r squared space minus space straight a squared space cos squared straight theta close parentheses end fraction This space euqation space gives space electric space potential space due space to space the space dipole space at space straight a space distance space straight r space from space its space centre space in space straight a space direction space making space an space angle space straight theta space with space dipole. On space the space equatorial space line space of space the space dipole comma space straight theta space equals space 90 degree space and space cos space 90 degree space equals space 0. rightwards double arrow space straight V subscript equi space equals space 0 Electric space field space is space the space space space around space the space charge comma in space which space any space other space charge space is space acted space upon space by space an space electrostatic space force. The space electric space field space on space equitorial space line space of space an space electric space dipole space is space given space as comma straight E space equals space minus fraction numerator 1 over denominator 4 πε subscript 0 end fraction straight p over open parentheses straight r squared space plus space straight a squared space close parentheses to the power of 3 divided by 2 end exponent straight E space is space depends space on space dipole space moment space straight P comma space straight a space and space straight r space but space not space on space any space angle. end style
Answered by Expert 16th October 2015, 11:52 AM
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