Courses
Courses for Kids
Free study material
Offline Centres
More
Store Icon
Store
seo-qna
SearchIcon
banner

Give some examples of electric dipoles with their explanation.

Answer
VerifiedVerified
425.7k+ views
like imagedislike image
Hint:In electrostatics, when two charges equal in magnitude but have opposite sign in nature are placed at some distance, this forms an arrangement which is known as electric dipole and its moment is known as electric dipole moment whose direction is always from negative charge to the positive charge side.

Complete step by step answer:
 Let us first understand the electric dipole in brief. Since electric dipole moment is defined as the product of charge and the distance between them and has a SI unit of Cm . It’s denoted as: p=q×2a where 2a is the distance between two charges. One of the most common examples of Electric dipole is to find electric field intensity at equatorial point which is calculated as: let us first draw the diagram.
seo images

Dipole moment P=q×2a, { q is charge and 2a is half distance of dipole}
Electric field intensity E=14πε0×qr2 { q is charge and r is distance of given point}

From the diagram we can see, Net electric field intensity will only have horizontal components of Ecosθ. And Now,
In triangle AOP and POB,
(AP)2=(BP)2=(d2+a2)
And, <PAO=θ {by vertically opposite angle}
So, cosθ=1(d2+a2)12
Now, we will calculate electric field intensity due to both charges at point P
Electric field E1 at point P due to q along AP is given by,
E1=14πε0q(AP)2
E1=k×q(d2+a2)2,
where {k=14πε0} (i)
Similarly, Electric field along PB is given by,
E2=k×q(PB)2
E2=k×q(d2+a2)2...........(ii)
Since, E1=E2 say E
Net electric field at point P will be the sum of Esinθ components and Ecosθ components but as we see from the diagram, vertical components will be cancelled, only horizontal components will be added. Hence, net electric field intensity at point P is given by,
Ep=2Ecosθ
As, cosθ=1(d2+l2)12
Ep=2×k×q(d2+a2)2×1(d2+a2)12
For small dipole where, a<<<d
Hence, electric field intensity at equatorial point is given by,
Ep=14πε0Pd3.
And the direction of the electric field is always opposite to that of the electric dipole.Another example of an electric dipole may be considered as CO2 and CH4 are the molecules whose dipole moment is zero but when placed in an electric field they produced a significant dipole moment in the direction of opposite to that of electric field.

Note: Many chemical molecules have their own electric dipole moment due to the presence of positive and negative charges inside them and they get polarized easily in the presence of an electric field and such molecules are called polar molecules H2O is an example of polar molecule.