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    for large distances from a short dipole, the electric field due to it depends on the distance from it as

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    The electric potential due to a small electric dipole at a large distance r from the centre of the dipole is proportional to :

    Click here👆to get an answer to your question ✍️ The electric potential due to a small electric dipole at a large distance r from the centre of the dipole is proportional to :

    Question

    The electric potential due to a small electric dipole at a large distance r from the centre of the dipole is proportional to :

    A

    r

    B

    1/r

    C1/r

    2

    D1/r

    3 Medium Open in App

    Updated on : 2022-09-05

    Solution Verified by Toppr

    Correct option is C)

    The potential at a distance r due to dipole is V

    dip ​ (r)= 4πϵ 0 ​ 1 ​ r 2 p ​ . r ^ ​ where p ​ = dipole moment. Thus, V dip ​ (r)∝ r 2 1 ​

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    स्रोत : www.toppr.com

    On the basis of your understanding of the following paragraph and the related studied concepts. An electric dipole is a pair of equal and opposite point charges q and

    (i) Electric field of a short dipole is maximum along its axial line. vecE("axial") = 1/(4pi epsi0). (2 vecp)/r^3 (ii) Electric field of a short dipole has a least magnitude along its equatorial line. vecE("equatorial")= - (1)/(4pi epsi0). (vec p)/r^3

    On the basis of your understanding of the following paragraph and the related studied concepts.

    An electric dipole is a pair of equal and opposite point charges q and -9 separated by a distance '2a'. The total charge of the electric dipole is obviously zero but the field of the electric dipole at a point is non-zero because electric fields due to + qand - q charges at the point do not exactly cancel out. Electric field of a dipole, at large distances, depends on the product 'qa'. So we define a term dipole moment vector

    → p

    of an electric dipole as

    → p = q ( 2 a )

    and its direction is along the line from q to + q charge. The dipole field at large distances fall off as

    1 r 3

    . Further, the magnitude and direction of the dipole field depends not only on the distance r but also on the angle between the position vector

    → r

    and the dipole moment

    → p .

    Concept of electric dipoles is very significant for different materials. In most molecules, the centres of positive charges and of negative charges exactly coincide and their dipole moment is zero. However they develop a dipole moment when an electric field as applied. Such molecules are termed non-polar molecules. But in some molecules, the centres of positive charges do not exactly coincide with that of negative charges and the molecules has a permanent dipole moment even in the absence of an electric field. Such molecules are called polar molecules. Various materials give rise to interesting properties and important applications in the presence or absence of electric field.

    In which direction is the magnitude of electric field due to a short dipole (i) maximum, (ii) minimum ? Write expression for the same.

    Updated On: 27-06-2022

    Text Solution Solution

    (i) Electric field of a short dipole is maximum along its axial line.

    → E axial = 1 4 π ε 0 . 2 → p r 3

    (ii) Electric field of a short dipole has a least magnitude along its equatorial line.

    → E equatorial = − 1 4 π ε 0 . → p r 3

    U-LIKE SERIES-ELECTROSTATIC POTENTIAL AND CAPACITANCE -CASE BASED/SOURCE-BASED INTEGRATED QUESTIONS

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    Total electric force on an electric dipole placed in an electric field of a point charge is :

    11963906 04:51

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    247615173 46:45

    A very small electric dipole with dipole moment p is placed in such in way that it is at a distance r from another point charge +q. The point charge lies on the axis of the dipole . Electric dipole moment is pointing towards the point charge. Determine electric dipole will attract the point charge or repel it ? What will be the magnitude of force between them ?

    415575597 04:14

    An electric dipole is the combination of two equal and opposite charges q and -q, respectively, separated by distance 2a. There are different points where we can find electric field due to the electric dipole. In the given table, column 1 shows different positions of point where we have to find electric field due to dipole, column 2 shows the figure of dipole with different positions of point where we have to find the electric field and column 3 shows the value or final formula of the electric field of different positions of the point.

    when point P lies on the equatorial plane of the electric dipole, electric field due to +q is ?

    549327746 Text Solution

    An electric dipole is the combination of two equal and opposite charges q and -q, respectively, separated by distance 2a. There are different points where we can find electric field due to the electric dipole. In the given table, column 1 shows different positions of point where we have to find electric field due to dipole, column 2 shows the figure of dipole with different positions of point where we have to find the electric field and column 3 shows the value or final formula of the electric field of different positions of the point. When point P lies on the axis of the electric dipole, electric field due to -q is ?

    स्रोत : www.doubtnut.com

    How does the electric field vary with distance for a short dipole?

    Answer (1 of 4): Because an electric dipole consists of two opposite charges, the electric field decreases more rapidly compared to the 1/r^2 character of a single charge. In fact, for the electric dipole the field decreases as 1/r^3 with distance. It is also not symmetrical with angle around the...

    How does the electric field vary with distance for a short dipole?

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    Sort Gary Sales

    Works at University of Massachusetts, LowellAuthor has 460 answers and 570.6K answer views4y

    Because an electric dipole consists of two opposite charges, the electric field decreases more rapidly compared to the 1/r^2 character of a single charge. In fact, for the electric dipole the field decreases as 1/r^3 with distance. It is also not symmetrical with angle around the dipole.

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    Hasith Dharani 2y

    varies inversely by r*3 where r is the distance from the centre of dipole to the required point in which electric field is to be measured

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    E is inversely proportional to r3 for a short dipole. because intensity{strength} of Electric field is inversly proportional to distance or r2.hence strength of E decrease with increase in distance b/w charges.

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    How does the electric field intensity change with distance from a dipole?

    How do I find an electric field due to dipole at any point rather than at an equatorial or axial line?

    Contains the complete solution for a dipole field, including the distance term.

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    For the dipole electric field is varies as?

    A dipole’s electric field varies as 1/r^3.

    You can calculate that e.g. by taking two charges: q, -q with distance d between them.

    Next:

    Figure out the electric field by summing up the field form the individual charges.

    See what the field is for r>>d.

    You will thus arrive at an expression for a dipole field and notice the 1/r^3 dependence.

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    How does an external electric field affect a dipole?

    An external electric field will affect a dipole by causing its positive and negative charges to be separated, resulting in the creation of an electric dipole moment. This means that the positive charge will be attracted to the negative pole of the electric field, while the negative charge will be attracted to the positive pole of the electric field. As a result, the dipole will experience a force that will tend to align it with the electric field.

    For example, consider a simple dipole consisting of a positive charge and a negative charge separated by a small distance. If this dipole is placed i

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    B.S. in Physics & Electrical Engineering (MSEE), University of Notre Dame (Graduated 1969)Author has 254 answers and 82.5K answer views1y

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    Where is the electric field strongest in an electric dipole?

    For an electric dipole consisting of charges +q and -q separated by a distance d aligned along the z axis, it can be shown (ref Feymann Lectures on line, vol II, eq 6.14

    Ez=qd/4πϵ0 * (3cos2θ−1)/r^3.

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    Mohammed 6 day ago
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