Electromagnetic Damping: Formulas and Law

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Jasmine Grover

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Electromagnetic damping is a technique used to control the motion of an object. It helps to reduce the moving speed of a thing. Linear, oscillatory, and rotatory are various types of movement by an object. Hence, several damping techniques are used in a system such as air, conventional fluid, and electromagnetic friction damping.

Key Terms: Damping, Current, Force, Induction, Flux, Lenz Law, Motion, Air, Conventional fluid, Electromagnetic friction damping, Damping force, Conductor, Magnet 


Electromagnetic Damping

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One of the remarkable strategies. It induces the current electromagnetically to regulate object motion without any physical contact. Moreover, it is essential to know about induction and Eddy's current for understanding this process. Damping force increases according to the decrease distance between conductor and magnet. So, the damping rises stand on the speed of an object.

Electromagnetic Damping

Electromagnetic Damping

Check Important Notes for AC Generator


Electromagnetic Induction

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Michel Faraday was the first one to depict the concept in 1831. Due to the change of magnetic flux, the formation of electric current(e.m.f) in a closed coil is electromagnetic induction. It accomplishes this by surrounding a conductor with a magnetic field. The proportionality constant is inductance. It determines by material qualities.

Electromagnetic Induction

Electromagnetic Induction

Features of Inductance

  • Scalar quantity
  • Dimension: M L2 T–2 A–2
  • SI unit of inductance: henry(H)
  • Self Inductance: The change of current opposes the electromotive force is self-induction. Consider L as the self-inductance of a coil, N as several turns, Current denote as I, and Φ is magnetic flux. So, the equation is,
    L = N Φ /I
  • Mutual Induction: Place two coils close together. The coils are primary(P-coil) and secondary(S-coil). A battery and key connect to the primary coil and galvanometer to S-coil. An opposing electromotive force produces in each coil due to a change in magnetic flux. This phenomenon is mutual induction. The basic formula is,
    M = μ0 μr N1 N2 A / l
    (Free space permeability – μ0, Soft iron core permeability - μr, Number of turns – N, Cross-sectional area – A and Length of coil – I)

Also Read:


Faraday Law

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Several contributions to science did by Faraday. The invention of an electric generator, motor, and transformer credits by him. One of the notable scientists in the 19th century.

On the experiment basis, Faraday provides three laws,

  1. Cause of induced e.m.f: An e.m.f produces in a coil when magnetic flux links with changes in the circuit or a closed coil.
  2. Duration of induced electric current: The current lasts due to a change in continuous magnetic flux.
  3. Magnitude of e.m.f: Magnitude of current in a coil proportional to magnetic flux change rate.

The mathematical form of theory: ε = -N d ΦB/dt

Also Check: Electromagnetism 


Eddy Current

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Current flowing causes a charge to generate across the conductor. Induced electricity is known as eddy current. The electrons form by a unique pattern that swirls around a conductor. Furthermore, a magnetic field generates with the swirl conductor. Foucault is the one who discovers it. The eddy current forms various applicable energy. For example, the slight drift of metal plates in the air is due to this current. The electric power meter is another example.

Eddy Current

Eddy Current

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Formulas and Law relate to Electromagnetic Damping

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Electric charges create a magnetic field. Several experiments assist the formation of findings. Hence, equations are generating to know the result rather than assumptions. Given below are some of the formulas link with electromagnetic damping.

  1. Magnetic Flux

The passage of entire magnetic lines through a surface area is magnetic flux (Φ B). It lies in vector quantity. The SI unit is Tesla meter square or Weber. Magnetic flux through a magnetic field B and plane area A written as,

Φ B = B. A= BA Cos θ

  1. Lenz’s Law

In 1834, German scientist Friedrich Lenz formulated the principle. It states that current produce by induced e.m.f opposes magnetic flux change. Moreover, it helps to find the direction of the induced current.

  1. The magnitude of induced e.m.f according to Faraday Law,

ε = Blv

Also Check: Electromagnetic Induction


Things to Remember

  • Damping force increase due to less distance between magnet and conductor.
  • Eddy current is the process to understand electromagnetic damping.
  • Michel Faraday is best known for creating the term electromagnetic induction.
  • Lenz law state that current produce by induced e.m.f opposes a change in magnetic flux.

Also Check: Class 12 Physics Chapter 6 Electromagnetic Induction


Previous Year Questions 

  1. Two identical circular coils A and B are kept on a horizontal tube side by side… [KCET 2013]
  2. Faraday's laws are consequence of conservation of… [NEET 1991]
  3. The number of Faradays(F) required to produce 20g of… [NEET 2020]
  4. If a transformer of an audio amplifier has output impedance 8000 0 and the speaker has input impedance…...[JCECE 2005]
  5. A conducting loop in the shape of a right angled isosceles triangle of height 10cm  is kept such that the …..[JEE Advance 2016]
  6. A 10m long horizontal wire extends from North East to South West. It is falling with a speed  ……. [ JEE Main 2019]
  7. If a current of 2.0A A flows through the smaller loop, then the flux linked with bigger loop is…… [JEE Main 2013]
  8. A coil of cross-sectional area A having n turns is placed in a uniform magnetic field B….. [JEE Main 21018]
  9. A copper rod of mass m slides under gravity on two smooth parallel rails, with separation ll and set at an angle of  ….. [JEE Main 2018]
  10. A copper wire is wound on a wooden frame, whose shape is that of an equilateral…. [JEE Main 2019]
  11. A metallic rod of length ll is tied to a string of length 2l and made to rotate with angular speed…. [JEE Main 2013]
  12. A square frame of side 10 cm and a long straight wire carrying current 1 A are in the plane of the paper…. [JEE Main 2014]
  13. If the rod makes n rotations per second, then the time averaged magnetic moment of the rod is… [JEE Main 2019]
  14. Figure shows a circular area of radius R where a uniform magnetic field….
  15. In a coil of resistance 100Ω , a current is induced by changing the magnetic flux through it….. [JEE Main 2017]
  16. When current in a coil changes from 5A  to 2A…. [JEE Main 2015]
  17. Which radiation in sunlight, causes heating effect? 
  18. X -rays are….
  19. Arrange the following in decreasing order of wavelength
  20. Which is having minimum wavelength...[NEET 2002]
  21. The speed of radio-waves is equal to….. [JIPMER 1998]
  22. Gamma rays and visible light waves rays are a,ba,b and cc respectively, then….[UPSEE 2016]
  23. the circular loop of wire is moved with velocity towards the infinite current carrying wire…… [VITEEE 2016]
  24. A conducting wire frame is placed in a magnetic field which is directed into the paper…...[VITEEE 2019]

Sample Questions

Ques: Describe the self-inductance of a coil and depict the unit? (2 Mark)

Ans: The change of current opposes the electromotive force is self-induction. Although, the unit of inductance is henry(H). Consider L as the self-inductance of a coil, N as several turns, Current denote as I, and Φ is magnetic flux. So, the equation is,

L = N Φ /I

Ques: Define Lenz’s Law? (2 Mark)

Ans: In 1834, German scientist Friedrich Lenz formulated the principle. It states that current produce by induced e.m.f opposes magnetic flux change. Moreover, it helps to find the direction of the induced current.

Ques: How does Faraday law contribute to induction? (3 Mark)

Ans: On the experiment basis, Faraday provides three laws,

  1. Cause of induced e.m.f: An e.m.f produces in a coil when magnetic flux links with changes in the circuit or a closed coil.
  2. Duration of induced electric current: The current lasts due to a change in continuous magnetic flux.
  3. Magnitude of e.m.f: Magnitude of current in a coil proportional to magnetic flux change rate.

The mathematical form of theory: ε = -N d ΦB/dt

Ques: The metallic and glass bob of the same size falls from the same height. Which one reaches the ground earlier and depicts the reason? (2 Mark)

Ans: Due to eddy current, there is a force acting upward. It led to the slow metallic bob. So, the glass bob reaches fast to the ground.

Ques: Write any two examples of eddy current? (2 Mark)

Ans: The eddy current forms various applicable energy. For example, the slight drift of metal plates in the air is due to this current. The electric power meter is another example.

Ques: Explain the mutual inductance of a coil. (3 Mark)

Ans: Place two coils close together. The coils are primary(P-coil) and secondary(S-coil). A battery and key connect to the primary coil and galvanometer to S-coil. An opposing electromotive force produces in each coil due to a change in magnetic flux. This phenomenon is mutual induction. The basic formula is,

M = μ0 μr N1 N2 A / l

Ques: What is magnetic flux? (2 Mark)

Ans: The passage of entire magnetic lines through a surface area is magnetic flux (Φ B). It lies in vector quantity. The SI unit is Tesla meter square or Weber. Magnetic flux through a magnetic field B and plane area A written as,

Φ B = B. A= BA Cos θ

Ques: Define inductance and its unit. (2 Mark)

Ans: The proportionality constant is inductance. It is measure by the quality of the materials. Henry is the SI unit (H). Self and mutual inductance are the two kinds of inductors.

Ques: Does a thin wire act as an inductor? (1 Mark)

Ans: A thin wire does not act as an inductor. A tiny wire cannot contain a considerable magnetic flux. So, it never behaves as an inductor.

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CBSE CLASS XII Related Questions

  • 1.
    If Bohr’s quantization postulate (angular momentum \( = \frac{nh}{2\pi} \)) is a basic law of nature, it should be equally valid for the case of planetary motion also. Why, then, do we never speak of quantization of orbits of planets around the Sun? Explain.


      • 2.
        The figure shows three point charges kept at the vertices of triangle ABC. The net electric field, due to this system of charges, at the midpoint M of base BC will be:

          • \( \frac{q}{4 \pi \epsilon_0 l^2} \) pointing along MA
          • \( \frac{q}{\pi \epsilon_0 l^2} \) pointing along AM
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          • Zero

        • 3.
          Two small identical metallic balls having charges \( q \) and \( -2q \) are kept far at a separation \( r \). They are brought in contact and then separated at distance \( \frac{r}{2} \). Compared to the initial force \( F \), they will now:

            • attract with a force \( \frac{F}{2} \)
            • repel with a force \( \frac{F}{2} \)
            • repel with a force \( F \)
            • attract with a force \( F \)

          • 4.
            A long solenoid of length \( L \) and radius \( r_1 \) having \( N_1 \) turns is surrounded symmetrically by a coil of radius \( r_2 \, (r_2>r_1) \) having \( N_2 \) turns (\( N_2 \ll N_1 \)) around its mid-point. Derive an expression for the mutual inductance of solenoid and coil. Is \( M_{12} = M_{21} \) valid in this case?


              • 5.
                Write any two features of nuclear forces.


                  • 6.
                    Photoemission of electrons occurs from a metal (\( \phi_0 = 1.96 \, \text{eV} \)) when light of frequency \( 6.4 \times 10^{14} \, \text{Hz} \) is incident on it. Calculate: Energy of a photon in the incident light, The maximum kinetic energy of the emitted electrons, and The stopping potential.

                      CBSE CLASS XII Previous Year Papers

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