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What is Lenz’s Law?

Lenz’s law states that

The induced electromotive force with different polarities induces a current whose magnetic field opposes the change in magnetic flux through the loop in order to ensure that the original flux is maintained through the loop when current flows in it.

Named after Emil Lenz, Lenz’s law depends on the principle of conservation of energy and Newton’s third law. It is the most convenient method to determine the direction of the induced current. It states that the direction of an induced current is always such as to oppose the change in the circuit or the magnetic field that produces it.

Lenz’s Law Formula

Lenz’s Law is reflected in the formula of Faraday’s law. Here the negative sign is contributed by Lenz’s law. The expression is –
Lenz`s Law | Physics Optional Notes for UPSC

Where,
Emf is the induced voltage (also known as electromotive force).
N is the number of loops.
Lenz`s Law | Physics Optional Notes for UPSC

Lenz’s Law Applications

Lenz’s law applications are plenty. Some of them are listed below-

  • Eddy current balances
  • Metal detectors
  • Eddy current dynamometers
  • Braking systems on train
  • AC generators
  • Card readers
  • Microphones

Lenz’s Law Experiment

To find the direction of the induced electromotive force and current we look to Lenz’s law. Lenz proved some experiments in accordance with his theory.
Lenz`s Law | Physics Optional Notes for UPSC

First Experiment

In the first experiment, he concluded that when the current in the coil flows in the circuit, the magnetic field lines are produced. As the current flow through the coil increases, the magnetic flux will increase. The direction of the flow of induced current would be such that it opposes the increase in magnetic flux.

Second Experiment

In the second experiment, he concluded that when the current-carrying coil is wound on an iron rod with its left end behaving as N-pole and is moved towards coil S, an induced current will be produced.

Third Experiment

In the third experiment, he concluded that when the coil is pulled towards the magnetic flux, the coil linked with it decreases, which means that the area of the coil inside the magnetic field decreases. According to Lenz’s law, the motion of the coil is opposed when the induced current is applied in the same direction.

To produce the current, force is exerted by the magnet in the loop. To oppose the change, the current on the magnet must exert a force on the magnet.

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FAQs on Lenz's Law - Physics Optional Notes for UPSC

1. What is Lenz's Law and how does it relate to electromagnetic induction?
Ans. Lenz's Law states that the direction of an induced current in a closed loop is such that it opposes the change in magnetic flux that produced it. This principle is a consequence of the conservation of energy and reflects the tendency of systems to resist changes. In the context of electromagnetic induction, when the magnetic field through a loop changes, an electric current is induced in the loop that creates its own magnetic field opposing the original change.
2. What is the formula associated with Lenz's Law?
Ans. While Lenz's Law itself does not have a specific formula, it can be expressed in conjunction with Faraday's Law of Electromagnetic Induction. Faraday's Law states that the induced electromotive force (EMF) in a circuit is equal to the negative rate of change of magnetic flux through the circuit. This relationship can be mathematically represented as EMF = -dΦ/dt, where Φ represents the magnetic flux. The negative sign in the equation indicates the opposition described by Lenz's Law.
3. What are some practical applications of Lenz's Law?
Ans. Lenz's Law has numerous practical applications, including in electric generators, inductors, and transformers. For instance, in electric generators, Lenz’s Law describes how the induced current opposes the motion of the generator’s rotor, which is essential for energy conversion. Additionally, it is used in magnetic braking systems in trains and roller coasters, where the induced currents generate forces that slow down motion, enhancing safety.
4. Can you describe a simple experiment to demonstrate Lenz's Law?
Ans. A simple experiment to demonstrate Lenz's Law involves dropping a magnet through a copper or aluminum tube. As the magnet falls, it induces a current in the tube, which creates a magnetic field that opposes the fall of the magnet. This results in the magnet falling slowly compared to free fall. The observation that the magnet takes longer to pass through the tube illustrates Lenz's Law in action, as the induced current opposes the change in magnetic flux caused by the falling magnet.
5. How is Lenz's Law relevant in the context of UPSC examinations?
Ans. Lenz's Law is relevant for UPSC examinations, especially in subjects like Physics and General Science. Understanding Lenz's Law helps candidates grasp fundamental concepts of electromagnetism, which can appear in questions related to electric circuits, magnetic fields, and energy conservation. Moreover, its applications in technology and engineering can also be important for essay topics or current affairs discussions in the exam.
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