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Hysteresis Loop

Hysteresis Loop– In a system with a magnetic field, hysteresis occurs. Ferromagnetic materials have a common characteristic called hysteresis. The hysteresis effect is a phenomenon that occurs when the magnetization of ferromagnetic materials lags behind the magnetic field.  The word hysteresis means “lagging.” Magnetic flux density (B) lags after magnetic field strength, resulting in hysteresis (H).

Hysteresis is a property of all ferromagnetic materials. Let’s look at an example where a ferromagnetic material is placed within a current-carrying coil to better grasp the notion. The material becomes magnetized as a result of the magnetic field present. Hysteresis is known as the process of demagnetizing a material by reversing the direction of the current.



Hysteresis Loop

The magnetic flux density and the magnetising field strength are represented by the hysteresis loop. The loop is created by monitoring the magnetic flux emitted by the ferromagnetic material while the external magnetising field is changed.



The graph will indicate a hysteresis loop if B is measured for various values of H and the results are presented in visual formats.

Advantages of Hysteresis Loop

Retentivity and Coercivity

After an external magnetising field is used to magnetise a ferromagnetic material, the material will not relax back to its zero magnetization state when the external magnetising field is removed.

Retentivity – It is the amount of magnetism that remains after the external magnetising field is withdrawn. It refers to a material’s capacity to maintain certain magnetic properties after an external magnetising force has been withdrawn. The value of flux density at the hysteresis loop’s point B is the retentivity.

Coercivity – The coercivity of substance is defined as the amount of reverse(-ve H) external magnetising field necessary to totally demagnetize the substance. The value of H at the hysteresis loop’s point C is the coercivity.

Energy Loss due to Hysteresis

  1. The greatest example of analysing energy loss due to hysteresis is a transformer because we know that energy is required throughout the magnetization and demagnetization processes.
  2. Energy is expanded during the magnetization and demagnetization of magnetic objects, and this expanded energy manifests as heat. Hysteresis loss is the term for this type of heat loss.
  3. Due to the continuous process of magnetization and demagnetization in transformers, energy is continuously lost in the form of heat, reducing the transformer’s efficiency.
  4. Soft iron cores are used in transformers to prevent energy loss because the energy loss or hysteresis loss in soft iron is significantly lower than in other materials.

Difference between the soft magnets and hard magnets

Magnetization and Demagnetization

The method of developing magnetic properties inside a magnetic substance is known as magnetization. With the aid of an electric current or a powerful magnet, any magnetic material may be magnetised.

Sample Problems

Problem 1: Which materials have the narrowest hysteresis loop?

Solution:

A minimal quantity of wasted energy is implied by a narrow hysteresis loop. This happens because of its limited surface area, which leads to more frequent reversals of applied magnetising force. These narrow hysteresis forms are seen in soft magnetic materials utilised in systems that need alternating magnetic fields.

Problem 2: What is the hysteresis cycle of a transformer core’s material?

Solution:

The core of the transformer is made of soft iron, which has a low coercivity and a high retentivity. As a result, its hysteresis loop is tall and thin.

Problem 3: What is hysteresis loss?

Solution:

When a transformer core is exposed to alternating magnetising force, hysteresis loss occurs owing to the reversal of magnetization. When the core is exposed to an alternating magnetic field, the material’s domains shift orientation every half cycle. Hysteresis loss is the amount of energy used by magnetic domains to change their orientation every half cycle.

Problem 4: What are the desired properties for the selection of transformer cores?

Solution:

Desired properties for selection of cores are:

  • Materials must go through complete magnetisation cycles on a regular basis.
  • Low hysteresis loss reduces energy loss.
  • To produce a high flux density, high permeability (or susceptibility) is required.
  • Eddy-current losses are reduced by having a high resistivity.
  • Soft iron, permalloys, and other materials are examples.

Problem 5: A magnet has a coercivity of 1 × 103 A ⁄ m. What current should be delivered through a solenoid with a length of 5 cm and a number of turns of 100 such that a magnet put in it is demagnetized?

Solution:

Given:

Length of solenoid, L = 5 cm = 0.05 m

Number of turns, N = 100

So, number of turns per unit length, n = N ⁄ L​

= 100 ⁄ 0.05

= 2000

Current to be passed, i = H ⁄ n​

= 1 × 103 ⁄ 2000

= 0.5 A

Hence, the current delivered through a solenoid is 0.5 A.

Hysteresis Loop – FAQs

What is a hysteresis loop?

A hysteresis loop, often seen in magnetic materials, illustrates the relationship between magnetic field strength and magnetization in a material.

What does a hysteresis loop show?

It demonstrates how a material responds to changes in an applied magnetic field by tracing out a closed loop on a graph.

What are the key features of a hysteresis loop?

Key features include saturation, coercivity, remanence, and hysteresis loss, which represent the material’s magnetic properties.

What is remanence in a hysteresis loop?

Remanence refers to the residual magnetization retained by the material after the magnetic field is removed.

What causes hysteresis in materials?

Hysteresis occurs due to the inherent resistance of magnetic domains in the material to realign with changes in the applied magnetic field.

How is a hysteresis loop useful?

It is essential in understanding and characterizing magnetic materials for various applications, such as in transformers, magnetic recording devices, and magnetic sensors.

What factors affect the shape of a hysteresis loop?

Factors like material composition, grain size, and processing conditions can influence the shape and size of the hysteresis loop.

How can hysteresis losses be minimized?

Hysteresis losses can be reduced by using materials with low coercivity, optimizing the material’s microstructure, and controlling the frequency and magnitude of the applied magnetic field.

Are hysteresis loops reversible?

No, hysteresis loops are not reversible because they show the lag or hysteresis between changes in the applied magnetic field and the response of the material.

What are some practical applications of hysteresis loops?

Hysteresis loops are crucial in designing efficient magnetic components like transformers, inductors, and magnetic storage devices like hard disk drives. They also play a role in magnetic sensing technologies.


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