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Asked by shinghip6 | 17 Jul, 2022, 04:36: PM
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Electric dipole consists of two charges of equal magnitude but opposite sign that are separated by a small distance

Electric dipole moment  is the product of charge q and distance d .
Electric dipole moment   is vector quantity thta has direction from negative charge to positive charge
= q
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Let us consider a point P on the axis passing through mid point of dipole. Let the point P be at a distance z from centre .

At the point P , two charges are at equal distance from P .

Since the charges are equal in magnitude and opposite in direction, potential at P is zero.

Electric field at P due to positive charge is E+ as shown in figure .

Similarly electric field at P due to negative charge is E- as shown in figure .

Magnitude E of E+ and E- are same because magnitude of charge and distances are equal for both fields.

Resultant field ER is given as
where K = 1 / ( 4πεo ) is the coulomb's constant

where cosθ is given as

Hence resultant electric field is written as

If we use the definition of dipole moment " p = q d  " and consider d << z , then resultant field will become

Answered by Thiyagarajan K | 18 Jul, 2022, 09:32: AM

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