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how do you find the torque of a dipole

by Jonas Moore Published 3 years ago Updated 2 years ago
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τ = (q E sinθ) d = q d E sinθ
Since 'qd' is the magnitude of dipole moment (p), and the direction of dipole moment is from positive to negative charge; torque is the cross product of dipole moment and electric field.
Jul 21, 2021

What is the torque of an electric dipole?

The dimensional formula of an electric dipole is ⁰ ¹ ¹ ¹ M ⁰ L ¹ T ¹ A ¹ . Consider an electric dipole placed in an external electric field. The electric dipole will experience some force and is known as the torque. The torque is the force exerted on the dipoles placed in an external electric field and is given by, = P x E = PE Sin θ ……… (1)

What is the electric field due to a dipole?

Two equal and opposite charges separated by some distance constitute a dipole. The electric field strength due to a dipole, far away, is always proportional to the dipole moment and inversely proportional to the cube of the distance. Dipole moment is the product of the charge and distance between the two charges.

What is dipole physics?

The product of the charge strength and separating distance is a constant positive value. In physics, another definition of a dipole is an antenna that is a horizontal metal rod with a wire connected to its center. Helmenstine, Anne Marie, Ph.D. "Dipole Definition in Chemistry and Physics."

What is the equation for electric field strength?

The magnitude of the electric field is given by the formula E = F/q, where E is the strength of the electric field, F is the electric force, and q is the test charge that is being used to “feel” the electric field.

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What is dipole formula?

An electric dipole is formed by two point charges +q and −q connected by a vector a. The electric dipole moment is defined as p = qa . By convention the vector a points from the negative to the positive charge.

How do you calculate dipole force?

0:2831:52Electric Dipole Moment, Force, Torque, Potential Energy, Work ... - YouTubeYouTubeStart of suggested clipEnd of suggested clipThe electric dipole moment is simply the product of the charge times the separation distance.MoreThe electric dipole moment is simply the product of the charge times the separation distance.

What is torque on a dipole in a uniform electric field?

An electric dipole in an electric field that is external is subjected to a torque written as τ = pE sin θ Where symbol θ is the angle which is between p and E. The torque tends to align the moment of the dipole p in the direction of E.

What is the formula for dipole moment?

Do remember that, the dipole moment is a vector measure whose direction runs from negative to a positive charge. The formula for electric dipole moment for a pair of equal & opposite charges is p = qd, the magnitude of the charges multiplied by the distance between the two.

How do you find the force on a dipole in an electric field?

1:157:36Force and Torque on dipole due to uniform Electric field - YouTubeYouTubeStart of suggested clipEnd of suggested clipSo total force that is f is equals to force on plus Q charge plus force on minus Q charge and if youMoreSo total force that is f is equals to force on plus Q charge plus force on minus Q charge and if you see force on plus Q charge that is Q into E and force on minus Q charge that is minus Q into E.

What is the torque on the dipole when it is perpendicular to the field?

(ii) Perpendicular to the field: The net force is zero but torque is maximum. Hence, dipole will rotate to align itself along the field.

What is the formula of torque in magnetic field?

τ = N I A B sinθ This is the torque on a current-carrying loop in a uniform magnetic field. This equation can be shown to be valid for a loop of any shape. The loop carries a current I, has N turns, each of area A and the perpendicular to the loop makes an angle θ with the field B.

What is the net force and torque on an electric dipole?

Answer: In a uniform electric field, both the point charges comprising the dipole will experience force, equal in magnitude and opposite in direction. Though the net force will always be zero, the torque will be in same direction for both the charges. Hence torque will not be zero.

In what unit does torque calculated?

Newton-metreThe SI unit for torque is the Newton-metre or kgm2sec-2. How have we come to this? If we look at the formula Torque = Force X Distance. While distance is measured in metres and force is measured in newton, so torque is measured in newton ⋅ metres.

Why do we calculate dipole moment?

Answer: The dipole moment \mu is the calculation of the net molecular polarity at either end of the molecular dipole. It is the magnitude of the charge Q times the distance d between the charges. Dipolar moments show the division of charges in a molecule. The dipole moment is measured in Debye.

What is a dipole in physics?

An electric dipole is defined as a couple of opposite charges “q” and “–q” separated by a distance “d”. By default, the direction of electric dipoles in space is always from negative charge “-q” to positive charge “q”. The midpoint “q” and “–q” is called the centre of the dipole.

What is a dipole moment in physics?

The dipole moment (μ) is defined as the product of the magnitude of the charge, e, and the distance separating the positive and negative charges, l: μ = el. Electrical charge is measured in electrostatic units…

What is the force on a dipole?

The electric dipole consists of two equal charges (q+ and q−) separated by a distance, d. Charges placed nearby experience a force as a result of the electric dipole. The net force is the vector sum of the forces exerted by the two charges, as shown for two different positions.

Is nh3 dipole-dipole?

All molecules generally show dispersion forces. Hence, the NH₃ molecule has dipole-dipole, hydrogen bonding, and dispersion forces.

Is co2 dipole-dipole?

Carbon dioxide does not have dipole-dipole forces due to symmetry of the dipoles found in the molecule as a result of the polar bonds. Carbon dioxide is not a polar molecule despite its polar bonds. Carbon dioxide also does not have hydrogen bond forces because it is a nonpolar molecule.

What are dipole-dipole forces examples?

Examples of a dipole–dipole interaction can be that between polar molecules, such as hydrogen chloride (HCl), carboxylic acids (i.e., acetic acid), and amino acids. The positive end of a polar molecule will attract the negative end of the other molecule and influence its position.

What is the torque of an electric dipole?

Torque on Electric Dipole. A pair of charges which are electric that too with an equal magnitude but opposite charges usually separated by a distance d is known as an electric dipole as per definition. The dipole or the electric dipole moment for this is defined as the product of the magnitude of these charges and the distance which is between them.

When is the torque dipole the maximum?

The force that is acting on the charges acts as a couple and the torque dipole experiences as well. The torque is said to be the maximum when it makes 90 degrees with the electric field which is the most unstable position.

What is moment of dipole?

The moment of the electric dipole is a vector having a defined direction from the negative charge to the positive charge. The torque on an Electric Dipole in an Electric Field that is uniform. Now we consider a dipole with charges that is +q and –q which is forming a dipole since they are a distance d away from each other.

How to know if a dipole is electric or magnetic?

For the simple electric dipole we can say that the electric dipole moment points from the negative charge towards the positive charge and has a magnitude that is equal to the strength of each charge times the separation between the charges. To be precise: we can understand it as for the definition of the dipole moment one should always consider the "dipole limit" where for example there is the distance of the generating charges that should converge to 0.

What is torque in physics?

The torque: It is said to be the measure of force that causes an object to rotate about an axis is called torque. The term that is torque is a vector quantity and its direction generally depends on the direction of the force on the axis. ...

What is the dipole of an electric field?

The dipole is generally represented by a vector which is from the negative charge towards the charge that is positive.

What is a pair of electric charges with an equal magnitude but opposite charges that are separated by a distance called?

There is a pair of electric charges with an equal magnitude but opposite charges that are separated by a distance ‘d‘ is called an electric dipole.

What is the torque of a dipole in an electric field?

Hence, the torque on a dipole in an electric field is 6.7 mC.

What is the torque acting on the dipole?

Hence, the torque acting on the dipole is 0.

How do dipoles receive force?

Each charge of a dipole receives a force when it is put in an uniform electric field and the dipole vector direction is not parallel to the field direction. The magnitude of both forces is identical, yet they are moving in opposing directions. A pair is formed by these equal and opposing parallel forces.

What is the effective dipole moment?

Hence, the effective dipole moment is p; the torque operating on the system is (1 ⁄ 2) p E along the +z-direction.

What is an electric dipole?

To be more specific, Electric Dipole is a separation of positive and negative charges. Consider a pair of electric charges with opposite signs but equal magnitude that are separated by a much smaller distance. The behavior of an Electric Dipole in the presence of an external field is now our main focus. Let’s review the characteristics of the ...

What is the angle between the force vector and moment arm?

θ is the angle between the force vector and moment arm, &

What is torque in math?

Torque is the measurement of the force that causes an item to rotate around an axis. Torque is a vector quantity whose direction is determined by the force acting on the axis. The torque vector’s magnitude is determined as follows:

What happens to the dipole if the magnetic field is uniform?

If the external magnetic field is uniform, then there is no force on the dipole. But there is a torque on the dipole if dipole is not aligned with the field. The torque vector →τ τ → is given by

What is the direction of a tiny magnet?

The direction of the tiny magnet's magnetic dipole moment is in (xy) plane making an angle (theta) with positive (x) axis towards positive (y) axis. The tiny magnet is at ( (x,y,z)) in meters.

What is checkpoint 35.5.2?

Checkpoint 35.5.2. (Calculus) Force on a Magnet in an Inhomogeneous Magnetic Field.

What is an electric dipole?

An electric dipole is considered an arrangement of two equal and opposite charges divided by a finite distance. An electric dipole’s electric dipole moment is defined as the result of each of its charges and the dipole’s length. It is the sum of a vector and is defined by p.

What is Dipole Moment?

A dipole moment arises in any system in which there is a separation of charge. They can, therefore, arise in ionic bonds as well as in covalent bonds. Dipole moments occur due to the difference in electronegativity between two chemically bonded atoms.

What is the dipole moment of a polyatomic molecule?

In the case of a polyatomic molecule, the dipole moment of the molecule is the vector sum of the all present bond dipoles in the molecule.

What is the dipole moment of a single bond?

The dipole moment of a single bond in a polyatomic molecule is known as the bond dipole moment and it is different from the dipole moment of the molecule as a whole.

Why do water molecules have a bent shape?

However, the presence of a lone pair of electrons in the oxygen atom causes the water molecule to have a bent shape (as per the VSEPR theory ). Therefore, the individual bond dipole moments do not cancel each other out as is the case in the BeF 2 molecule. An illustration describing the dipole moment in a water molecule is provided below.

What does the arrow on the dipole moment represent?

It is denoted by a cross on the positive center and arrowhead on the negative center. This arrow symbolizes the shift of electron density in the molecule. In the case of a polyatomic molecule, the dipole moment of the molecule is the vector sum ...

What is the bond angle of a water molecule?

The bond angle in a water molecule is 104.5 o. The individual bond moment of an oxygen-hydrogen bond is 1.5 D. The net dipole moment in a water molecule is found to be 1.84D.

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Electric Dipole

Torque on Electric Dipole Explanation

  • Consider a dipole located in the same position ‘E’ to calculate the torque received by the dipole when positioned outside. The compulsory charge will be placed below the ‘qE’ magnitude as you go up, while the negative charge will be placed below the ‘qE’ magnitude as you go down. Since the absolute power is zero, it can be seen that the dipole is i...
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Torque

  • Torque (τ) = Force × distance separating forces Torque is a vector whose direction is determined by the force acting on the axis. The magnitude of the torque vector is determined as follows: T = F r sinθ Which means, F - force acting on the axis r - temporary arm length θ - angle between force vector and temporary arm τ - is the vector of torque
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Derivation of Torque

  • Consider a dipole with the angles of + q and q forming a dipole because they are separated by a distance of d. Positioned in the same electric field of power E, the dipole axis forms an θ angle with an electric field. Charging power, F = ± q E Elements of power perpendicular to dipole, F = ± q E sinθ Since ‘qd’ is the magnitude of the dipole moment (p), and the direction of the dipole mom…
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Torque on A Dipole in A Uniform Electric Field

  • Now, we consider a dipole with charges that is +q and –q which is forming a dipole since they are a distance d away from each other. Now let it be placed in a uniform electric field which is of strength denoted as E such that the axis of the dipole forms an angle θ with the electric field. An electric dipole in an electric field that is external is subjected to a torque written as τ = pE sin θ …
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Torque on A Dipole

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To figure out the torque that a dipole will experience when placed in an external field, imagine that the field is uniform and that the dipole is placed in it. The negative charge will experience an electric force of qE magnitude moving downhill, whereas the positive charge will experience an electric force of qE magnitude mo…
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Torque on Electric Dipole Formula

  • Think about an electric dipolemade up of the charges +q and -q, which form a dipole because they are separated by d. Put it there, with the axis of the dipole forming an angle with the electric field, in a homogeneous electric field of strength E. Assume about such a dipole where the angles + q and q combine to generate a dipole since they are separated by d. The dipole axis makes an ang…
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Torque on A Dipole in A Uniform Electric Field

  • Think about a dipole with charges +q and -q that are separated by d. When the electric dipole is positioned in a homogeneous electric field of strength E, its axis makes an angle () with the electric field. The force will be F+=+qE for the positive and for the negative charges, it will be F−=−qE The forces parallel to the dipole are as follows: F+⊥...
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Application of Torque

  • Physics key idea of torque aids in our comprehension of the world around us. The direction and strength of a rotating force applied to an item can be ascertained with the use of torque, allowing you to evaluate the outcomes it might produce. In general, torque can be used to predict whether a force would cause a clockwise or counter clockwise motion. Additionally, it might assist you i…
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13 hours ago The torque acting on a dipole is the cross product of electric field and dipole moment as we can look into the formula. T = P x E ( Cross product) The equation has revealed that both …

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