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Ampere’s Law

Last updated date: 21st Feb 2024
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Ampere’s Law - Definition & Applications

The students are taught the concepts like that of Ampere’s Law in the subject of Physics  to improve their basic knowledge of the more complex topics that lie ahead of this concept in the future. The students can easily learn this concept and more from the website of Vedantu for free. The study material is available in the form of a pdf which they can either download and save for future reference or can view in the online mode. This helps the students to clear their doubts as and when they arise. 


The teachers at Vedantu curate the resources as per the latest norms prescribed by the boards for Classes 1 to 12 and are thus, 100% reliable in terms of their accuracy. The students can refer to these materials for practice which will help them identify their weak sections and improve on them. The website offers material for practice which includes sample papers, previous year’s question papers, practice questions, important questions, etc. that help them to strengthen their level of preparation.


For the students, Ampere’s Law is one of the useful Laws which relates the net Magnetic field along the closed-loop to the Electric current which passes through the loop. The Law was discovered by André-Marie Ampere in 1826. The expression for the relation between the Magnetic field and the current which produces it is termed Ampere’s Law.


Ampere’s Law - Definition & Applications

Ampere’s circuital Law is an integral part of studying electroMagnetism. The Law defines the relationship between the current and the Magnetic field that it creates around itself. This Law was named after the scientist Andre Marie Ampere who discovered this phenomenon.


Ampere conducted multiple experiments to comprehend how the forces acted on wires which carry current. To understand what Ampere's Law is, students have to have a clear understanding of both the Magnetic and Electric fields.


What is Ampere’s Law?

The Ampere's Law definition states that ‘the line integral of a Magnetic field intensity along a closed path is equal to the current distribution passing through that loop’. 


The above statement might be quite difficult to apprehend at once. Hence it is advisable to build a background for the same while understanding it.


Mathematical Expression

Let us look at the Mathematical Expression of the Ampere Circuital Law for clarification.

Herein, B is Magnetic field intensity, I is current passing through a loop, and μ is Magnetic flux. The image beside shows the passage of current (represented with an upward moving arrow).


It depicts that on continuous passage of current, a Magnetic field is created around the conductor. As a student, you should understand that when you try to explain Ampere's circuital Law regarding the passage of a current, it indicates that a conductor is carrying current. 


Other than this, you should also have a prior understanding of Magnetic flux. The most vital topic to understand is Gauss’s Law which is usually one of the first topics that are taught. Once you have cleared the concept of this Law, understanding Ampere's Law will be much easier.


Ampere’s Circuital Law and Magnetic Field: Applications

Ampere's Law, because of its convenience, has gained momentum since its inception. It has been implemented in real-life scenarios too. One of the most widely known platforms where Ampere’s Law is being implemented regularly is the manufacturing of machines.


These machines can be motors, generators, transformers, or other similar devices. All of these work with the principles related to the application of Ampere circuital Law. Hence, understanding these concepts is essential especially since these are essential in higher standards. These concepts are the basis of some of the most vital derivations and principles that are relevant in Physics . 


Here is a list of applications where you will find Ampere’s circuital Law being put into use. 

  • Solenoid

  • Straight wire

  • Thick wire

  • Cylindrical conductor

  • Toroidal solenoid

It should be noted that the working principle of this Law remains the same throughout every process, even though its implementation varies greatly. It is the working principle of numerous machines and devices, which are often even implemented as parts of other devices. 


Students may also go through the Ampere circuital Law derivation to build a deeper understanding of the same. Not only is this derivation integral to Ampere’s Law, but also since it is one of the fundamental concepts of Physics  and Electricity.


Notably, a diagram always helps and our study materials provide just that along with lucid language for an explanation. To know more about what Ampere circuital Law is and its features with various applications in real life, you can check our online study programs. Herein, you will get access to high-quality study materials with a quick explanation by subject experts. 


You can even download our Vedantu app which is easily available so that you can access all the study materials at any time.


Importance of Vedantu’s study material

The following are the points that highlight the importance of Vedantu’s study material:

  • It helps the student to access the resources online at the ease of their time and the comfort of their home.

  • It is prepared by the experts in the subject matters and thus, is 100% accurate and reliable.

  • Vedantu’s study material is available for download in pdf format which can be saved by the students for their future reference or can also be viewed in the online mode.

  • The study material helps the students to clear their doubts instantly.

FAQs on Ampere’s Law

1. How do You State Ampere's Circuital Law?

The students need to focus on the concept as it is an important concept from the perspective of Exams. Ampere’s circuital Law is stated as the relationship between a current-carrying conductor and the Magnetic field created around the conductor due to its flow of current. In simple words, it can be stated that Ampere's circuital Law states that “the line integral of the Magnetic field surrounding closed-loop equals to the number of times the algebraic sum of currents passing through the loop.”

2. State and Explain Ampere's Circuital Law With the Necessary Equation.

For the students who already know about Ampere’s Circuital Law it is a friendly concept which can be easily understood as here and To define Ampere circuital Law, let us consider the Mathematical equation for Ampere's Law -

∮ B. dl = μ0. I 

Where ∮ is the integral of a closed surface on an imaginary plane, B is the Magnetic flux, dl is an infinitesimal length on the circumference of the area enclosed, and I is the current carried by the conductor. 

3. What is the Most Popular Application of Ampere’s Circuital Law?

Ampere’s Law has a lot of implications in real life, however, some of the most popular applications include determining the Magnetic Induction due to the long current-carrying wire, determining the Magnetic field inside a toroid, determining the Magnetic field created by a long current carrying conducting cylinder, determining the Magnetic field inside the conductor. While some of the most widely used practical applications of Ampere's circuital Law include their usage in motors, generators, transformers, etc.  Hence, we can say that it is an important aspect of the student’s understanding of the concept.

4. Where can I get the information on Ampere’s Law  Definition & Applications?

The students can easily get knowledge about Ampere’s Law from the website of Vedantu for free. The students can make note of various other related concepts from the website. Vedantu believes in the fact that education is for all and thus provides all the study resources to the students free of cost so that they can view the same and also use it for future reference. The resources available include sample papers, worksheets, previous year’s question papers, and much more for the students to get a good hold of their concepts.

5. Who was the scientist who performed experiments with forces that act on current-carrying wires?

The scientist behind the experiments on forces that act on current-carrying wires was André-Marie Ampere. This experiment was conducted in the late 1820s around the same time when Faraday was working on his Faradays law. However, the scientist Faraday and Ampere had no clue that their work would be combined by Maxwell himself four years later. This way the experiment had a single scientist working on it but eventually moved to have two of them. The students make good notes of the same as it will be a scoring point in the Exam.