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Two short electic dipoles of moment P and 8P are placed in opposite direction on a line at a distance of 15cm. The electic will be zero at point between the dipoles wose distance from the dipole of moment P is
Asked by KRISHPATEL.soc | 20 Jun, 2021, 02:02: PM
Electric field E due to a dipole at a distance r far away from its position is given as

E = K × [ ( 2 p ) / r3 ]

where K = 1/(4πεo ) is Coulomb's constant and p is dipole moment .

Hence electric field of dipole at a far away distance is directly proportional to dipole moment
and  inversely proportional to cube of distance .

As shown in figure, if A is a point which is at a distance r from a dipole of moment P and
at a distance (15-r) from another dipole of moment 8P in opposite direction ,

Then to get zero electric field at A , we have the condition

Above expression is simplified as ,  (15 - r ) = 2r   or     r = 5 cm
Answered by Thiyagarajan K | 20 Jun, 2021, 03:15: PM

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