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CBSE Class 12 » CBSE Class 12 Study Materials » Chemistry » Magnetic Field
CBSE

Magnetic Field

Let us learn about the magnetic field on the axis of a circular current loop, how this magnetic field is calculated, and understand the connection between electricity and magnetism.

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We know that electricity and magnetism are linked. When a magnet is placed in a magnetic field, it creates magnetic fields that may be used to generate energy. Electromagnetic force is a phrase used to describe the relationship between electricity and magnetism. A circular current loop has an axis-centred magnetic field, which will be discussed in depth in the following paragraphs.

Magnetic field on the axis of a circular loop

Science has long known that there is a connection between electricity and magnetism. The field surrounding the magnet generates a magnetic field, and the rotating magnets in a generator create energy. Electromagnetic force is a phrase that describes the interaction of electricity and magnetism. This article explains the magnetic field on the axis of a circular current loop:

How the magnetic field on the axis of a circular current loop is calculated

It is important to be familiar with the basic law of magnetism that attempts to arrange similar poles of two magnets together and demonstrates the most basic law of magnetism: like poles repel one another and unlike poles attract one another. The Biot–Savart law describes the connection between magnetic field strength and eddy currents’ length, proximity, and direction. The Biot–Savart law is a formula for calculating the magnetic field produced by a current-carrying section of a magnetic field-producing device. In this context, the current-carrying element is a vector quantity.

Let’s look at how to calculate a magnetic field on the axis of the circular current loop

and how to use it. Consider the magnetic field generated by a circular coil rotating around its axis. The aggregate of the impacts of minute current components is required for the evaluation (I dl). The continuous current is represented by (I), and the test is conducted in either a vacuum or open space.

The Biot-Savart law may be used to calculate the magnetic field owing to a current. We start by considering random segments on opposing sides of the loop to prove qualitatively that the net magnetic field direction is along the loop’s centre axis using vector findings. The Biot-Savart law may then be used to get the magnetic field expression, which is as follows:

dB=μ04πIdlsinθr2=μ04πIdly2+R2dB=μ04πIdlsinθr2=μ04πIdly2+R2

Conclusion

In magnetics, there are two ways to calculate the magnetic field. A highly symmetrical structure with an Ampere’s Circuital Law carrying constant current may have its magnetic field calculated using Biot-Savart law, owing to an infinitesimally tiny current-carrying wire.

The Biot-Savart law may be used to compute the magnetic field created by a tiny current element at some location in space. The total magnetic field generated by the circular current loop will be calculated using this formalisation and the superposition principle.

faq

Frequently asked questions

Get answers to the most common queries related to the CBSE Class 12 Examination Preparation.

What is the magnetic field on the loop's axis in a circular current loop?

Ans. Science has long known that there is a connection between electricity and magnetism. The field surrounding the ...Read full

Where does a uniform distribution of the magnetic field, created by electricity travelling around a circular loop, exist?

Ans. While the magnetic field created by a current flowing through a circular loop is homogeneous in the centre, it ...Read full

What causes a magnetic field to form when an electric current passes through it?

Ans. The magnetic field of an electric current is a force field created by magnetic dipoles and moving electric char...Read full

What causes the current to produce a magnetic field?

Ans. An electric current creates a magnetic field, which is then detected. While an electric charge is in motion, th...Read full

What is the best way to determine the current in a magnetic field?

Ans. By using the right-hand grip rule, you can determine the magnetic field direction: curl up your fingers, put ou...Read full

What causes a magnetic field to be generated by a current-carrying conductor?

Ans. Power comes from a moving charge or magnetic material, which is the source of magnetism’s strength. In ot...Read full

How does the magnetic field created by a current-carrying wire change in a circular loop?

Ans. The magnetic field intensity decreases as the distance between the wire and the magnet increases, but the curre...Read full

What is the magnetic field expression at a point on the circular current carrying conductor's axis?

Ans. In the question, we were requested to develop an equation for the magnetic field on the axis of a circular curr...Read full

Ans. Science has long known that there is a connection between electricity and magnetism. The field surrounding the magnet generates a magnetic field, and the rotating magnets in a generator create energy.

 

Ans. While the magnetic field created by a current flowing through a circular loop is homogeneous in the centre, it is non-uniform towards the loop’s perimeter.

Ans. The magnetic field of an electric current is a force field created by magnetic dipoles and moving electric charges, which exerts a force on other moving charges and magnetic dipoles in the area of the magnetic field’s source.

Ans. An electric current creates a magnetic field, which is then detected. While an electric charge is in motion, this is possible… A magnetic field is created when an atom spins and revolves around its nucleus. The magnetic field’s direction is also governed by the direction of the electric charge’s spin, as it circles the magnetic field’s axis.

 

Ans. By using the right-hand grip rule, you can determine the magnetic field direction: curl up your fingers, put out your thumb, and position your hand such that the direction of your thumb is in the direction of a flowing charge (a current). This way, you can determine the magnetic field direction.

 

Ans. Power comes from a moving charge or magnetic material, which is the source of magnetism’s strength. In other words, a current-carrying conductor generates a magnetic field due to the current. The movement of electrons inside atomic orbitals causes a magnetic field to be created within an electrically conductive conductor.

Ans. The magnetic field intensity decreases as the distance between the wire and the magnet increases, but the current through the wire remains constant. In proportion to the increase in distance from the wire, the concentric circles indicating magnetic lines of force get bigger and more rarefied.

 

Ans. In the question, we were requested to develop an equation for the magnetic field on the axis of a circular current-carrying loop using the Biot-Savart law. B=μ0IR22(R2+x2)3/2, where R is the loop’s radius, I is the current flowing through it, and x is the distance between the loop and the observer.

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