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Standard XII
Physics
Electric Field Due to a Dipole
Question

(a) Which physical quantity has its SI unit (1) Cm (2) N/C.
(b) Two point charges q and -q is placed at a distance 2a apart. Calculate the electric field at a point P is situated at a distance r along the perpendicular bisector of the line joining the charges. What is the electric field when r >> a? Also, give the direction of electric field w.r.t. electric dipole moment?

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Solution
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a) 1) Electric dipole moment
2) Electric field
b) Field at P due to charge q:
along BP.
Field at P due to charge -q:
along PA.
Clearly, the components of these 2 forces with equal magnitudes cancel along the direction OP but add up along the direction parallel to BA.
Therefore, the resultant electric field at P due to the 2 charges at A and B is:
E = - *
When
E = -
the direction of electric field in this case is opposite to the direction of the dipole moment vector.

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Similar Questions
Q1
(a) Which physical quantity has its SI unit (1) Cm (2) N/C.
(b) Two point charges q and -q is placed at a distance 2a apart. Calculate the electric field at a point P is situated at a distance r along the perpendicular bisector of the line joining the charges. What is the electric field when r >> a? Also, give the direction of electric field w.r.t. electric dipole moment?
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Q2
Two charges +q and −q are placed at a distance b apart as shown in the figure. The electric field at a point P on the perpendicular bisector as shown is :
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Q3
An electric dipole has dipole moment 4×10−11 Cm and the two charges have magnitudes 4nC each. Calculate the electric field due to the dipole i) at a point on the axis at a distance 0.01m from one of the charges and ii) at a point on the perpendicular bisector at a distance 0.02m from the mid-point.
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Q4
Two charges +q and -q are placed at a distance b apart as shown in the figure below.
The electric field at a point P on the perpendicular bisector as shown as :
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Q5
A point charge Q lies on the perpendicular bisector of an electric dipole of dipole p. If the distance of Q from the dipole is r (much larger than the size of the dipole).then the electric field at θ is proportional to :
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