Energy of Dipole in electric field

There are two types of charge in the electric dipole, positive or negative. If both are kept close together and both of them have the same magnitude. But the nature of the positive and negative charge is opposite, then after that, whichever energy or system will be formed is named as Energy of the dipole. It has an electric dipole that is kept in non-uniform electric field experience. For instance, if you take one Q and another side closer to the -Q, you must place a +Q. So, you know very well that both charges should be of equal magnitude, but their nature should be opposite to each other. So, that system is called an Electric dipole. If you would like to know more about dipoles in the electric field, let’s know them below. 

The energy of Dipole in an electric field 

There are two types of charges that are used in the Energy of Dipole in an electric field. One charge of the electric dipole is positive and another is a negative charge. Both charges are placed at the same distance and their magnitude is similar through their nature. For instance, you have to take a dipole q1 = +q, and another charge is q2 = -q. You will have to keep both of them in a uniform electric field. In this, these charges are divided with the same and equal distance. Apart from this, its magnitude is also the same. Usually,  an electric dipole is kept in a non-uniform electric field experienced in the force and torque. In this, the same force is kept with the –qE and +qE charges of the electric dipole. So, that’s all about the energy of Dipole in an electric field. 

Work done to electric dipole rotating in an electric field

You will emulate the below-given points for work done to an electric dipole rotating in an electric field. It is such as:

• First of all, you have to take an electric dipole. Make sure it is positioned in a uniform electric field and is placed in equilibrium form.
• In case you rotate the electric dipole from its balance place, then the work has to be successfully done electric dipole rotating in an electric field
• Guess you can rotate the electric dipole of the moment that is p in the contraction of uniform electric field E. You rotated it from its equilibrium position with an angle θ. As a result, the process pair performs on dipole modifications.
• By using the uniform electric field, if you become an angle φ on any electric dipole. In this case, the torque functions on an electrical dipole which is,

Γ=pEsinφ

After that, try to again work on an electric dipole rotating in an electric field via infinitesimally tiny-angle dφ. It is

dW=torque

and angular displacement = pEsinφdφ. Torque = Force × distance between forces or τ = (q E sinθ) d = q d E sinθ.

• In this way, the total work done to electric dipole rotating in an electric field via an angle θ from its corrective placement. It is W = [pEsin φqdφ = pE [-cos φ] = pE (1-cosφ). 

So, this is the necessary formula that is useful for work done to electric dipoles rotating in an electric field. You can use it when an electric dipole is kept in non-uniform electric field experience and rotating in a uniform electric field.

Conclusion

So, all the above-described information given about an electric dipole is kept in non-uniform electric field experience. So, if you want to know about it in exampling detail then know through above. Usually, the Electric dipole in an electric field shows the energy of the dipole in an electric field. You can compute it with this formula:

P.E=−pEcosθ=−p⋅E

Sometimes it is negative and positive. When the θ is imperative, then it is negative. Apart from this, when θ is obtuse in this case, the energy of the dipole is positive. On the other hand, you must confirm the dimensions of energy. It is computing by the product of p and E.