All questions of Induction Machines for Electrical Engineering (EE) Exam
We know that:
F = ϕS
Substituting the given values from the question, we get MMF = 15At.
Explanation:
Similarly, hysteresis loss is a measure of the energy lost in a magnetic material due to the reversal of magnetization in each cycle.
What is Hysteresis Loss?
Hysteresis loss occurs in magnetic materials when the magnetic field is applied and removed, causing the material to undergo magnetization and demagnetization processes. This results in energy loss in the form of heat.
Area of Hysteresis Loop:
The area enclosed by the hysteresis loop on a graph of magnetic flux density (B) versus magnetic field strength (H) represents the energy lost per cycle in the material.
Measure of Energy Loss:
The area within the hysteresis loop is a measure of the energy dissipated as heat during each cycle of magnetization and demagnetization. The larger the area, the higher the energy loss.
Significance:
Understanding the hysteresis loss is essential in the design and selection of magnetic materials for various applications. Minimizing hysteresis loss helps in improving the efficiency of magnetic devices.
Relation to Permittivity and Permeance:
Permittivity is a measure of a material's ability to store electrical energy in an electric field, while permeance is the reciprocal of reluctance in a magnetic circuit. These properties are different from hysteresis loss, which specifically deals with energy dissipation in magnetic materials.
In conclusion, the area of the hysteresis loss loop is a crucial parameter that quantifies the energy lost per cycle in a magnetic material and is essential for optimizing the performance of magnetic devices.
Power flow through the coil is: p = ei

or,

Resistance in electrical circuit corresponds to reluctance in magnetic circuit. Reluctance opposes the production of magnetic flux in a magnetic circuit and resistance opposes the flow of current in electrical circuit.

Hence, emf induced is maximum when di/dt is maximum.
Ohm is the SI unit of electrical resistance. It is named after the German physicist Georg Simon Ohm. One ohm is defined as the resistance between two points in a conductor when a constant potential difference of one volt, applied to these points, produces a current of one ampere.
As the field is bipolar, therefore the induced emf will be alternating in nature.
Paramagnetism in Air Exhibits
Paramagnetism is a phenomenon in which a material is weakly attracted to an external magnetic field. This property is exhibited by materials that have unpaired electrons in their atomic or molecular orbitals. Air is a non-magnetic substance, but it exhibits paramagnetism under certain conditions.
Molecular Oxygen in Air
The main reason for the paramagnetism of air is the presence of molecular oxygen (O2) in the atmosphere. Oxygen molecules have two unpaired electrons in their outermost orbitals, which makes them weakly attracted to an external magnetic field.
The magnetic moments of the individual oxygen molecules in air are randomly oriented in the absence of an external magnetic field. However, when an external magnetic field is applied, the magnetic moments align themselves with the direction of the field, resulting in a weak attraction of air towards the field.
Temperature and Pressure
The extent of paramagnetism exhibited by air depends on the temperature and pressure of the gas. At higher temperatures, the thermal energy of the molecules overcomes the weak magnetic attraction, and the paramagnetism decreases. Similarly, at higher pressures, the molecules are closer together, and the interactions between them reduce the paramagnetic effect.
Applications
The paramagnetism of air has various applications in scientific research and technology. It is used in magnetic resonance imaging (MRI) to create high-resolution images of the human body. The paramagnetism of air is also used in the measurement of magnetic fields and in the separation of isotopes.
Conclusion
In conclusion, air exhibits paramagnetism due to the presence of molecular oxygen in the atmosphere. The paramagnetic effect of air depends on the temperature and pressure of the gas and has various applications in scientific research and technology.
Introduction:
The unit of magnetic flux is a fundamental concept in electromagnetism. It is used to quantify the amount of magnetic field passing through a given area. The unit of magnetic flux is defined by the International System of Units (SI).
Explanation:
The unit of magnetic flux is the Weber (Wb). It is named after the German physicist Wilhelm Eduard Weber. The Weber is defined as the magnetic flux that passes through a surface of one square meter perpendicular to a magnetic field of one Tesla.
1. Magnetic Flux:
Magnetic flux, denoted by the symbol Φ (phi), is a measure of the total magnetic field passing through a given surface. It is defined as the product of the magnetic field strength (B) and the area (A) perpendicular to the magnetic field:
Φ = B * A
2. Weber (Wb):
The Weber (Wb) is the SI unit of magnetic flux. It is defined as one Tesla (T) multiplied by one square meter (m²):
1 Wb = 1 T * 1 m²
This means that if a magnetic field of one Tesla passes through a surface of one square meter, the magnetic flux through that surface is one Weber.
3. Other Units:
While the Weber is the primary unit of magnetic flux, there are some other units that can be derived from it:
- Gauss (G): 1 Wb = 10⁴ G
- Maxwell (Mx): 1 Wb = 10⁸ Mx
- Tesla Square Meter (T·m²): 1 Wb = 1 T·m²
These derived units are mainly used in specific industries or applications where the Weber may not be the most convenient unit to work with.
Conclusion:
The unit of magnetic flux is the Weber (Wb). It is defined as the magnetic flux passing through a surface of one square meter perpendicular to a magnetic field of one Tesla. The Weber is the primary unit of magnetic flux in the SI system, and it is widely used in scientific and engineering applications related to electromagnetism.
We know that eddy current loss,

or


From Faraday’s law of electromagnetic induction,

(minus sign is due to Lenz’s law).
Ohm’s law for the magnetic circuit’s states that the MMF is directly proportional to the magnetic flux hence as the magnetic flux decreases, the MMF also decreases.