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Installation for researching on liquid magnet

Installation for researching on liquid magnet
IPC classes for russian patent Installation for researching on liquid magnet (RU 2272325):

G09B23/18 - for electricity or magnetism
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FIELD: the invention refers to training aids and may be used in practical work in physics course.

SUBSTANCE: the installation has in series connected: two flat induction coils, source of constant current, ammeter and rheostat. On a stand there are two fixed axles of rotating induction coils, on which two rigid brackets are pivotally suspended with their first ends and to their second ends are rigidly connected the induction coils placed in a vessel with liquid magnet installed on the stand provided with a scale with divisions in degrees.

EFFECT: the installation allows to take off dependence of Ampere force arising at interacting of the coils with current in liquid magnet from the value of this current and determine value of magnetic penetrability of liquid magnet and expands the field of researching.

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The invention relates to educational devices and can be used in the laboratory in higher and secondary special educational institutions on physics course for exploring and deepening the knowledge of physical laws and phenomena.

The known device Kolbe to demonstrate the interaction of two coils with current, suspended by a flexible cord on a tripod. (Gen and other Physical experiment at school, volume 4. Uchpedgiz, 1954, str, RES). It allows you to show only the interaction of two coils with electric current, without measuring the power amp and considering the influence of the magnetic permeability of the environment on the strength of the interaction.

Also known training device for the study of electromagnetic fields (RU patent No. 2210815, 20.08.2003, bull. No. 23. Author: Kownacki VK), containing two toroid iron core (hard magnetic material). This device allows you to measure the characteristics of the electromagnetic field, but it is impossible to measure the magnetic permeability of the toroid cores.

Closest to the proposed installation is to install (figure 4) to demonstrate the interaction of two coils with current, suspended by two thin wires, (Oferation. Physics. Reference materials. M: Education 1991, p.184, RES.) The installation includes two planar inductor and the DC source. When connecting the coils to a source of constant the CSOs current observed deviation of one coil to the other. When making one of the coils of the iron rod, the other coil is deflected at a greater angle. However, this setup does not allow to measure the power amp at the interaction between the coils and the magnetic permeability of the liquid environment in which these coils can interact with.

The aim of the invention is to expand the functional capabilities of this facility. This goal is achieved by the fact that it introduced: stand; two rotation axes of the flat coils mounted on the stand; two hard suspension, first ends of which are pivotally suspended on the axis of rotation of the planar inductors, and the second ends rigidly connected with these coils and are the first inputs of flat coils, and the second inputs are thin insulated conductors are wound on both of the hard suspension; ammeter and rheostat, which form a sequentially closed circuit with two series-connected flat coils and a source of direct current; a vessel with a liquid magnetic material mounted on the stand, in which there are two flat coils in the same plane perpendicular to the axes of the coils and the axes of rotation of these coils; a graduated scale in degrees, mounted on the stand.

Figure 1 and figure 2 depict what aulani drawings, explaining the principle of the proposed facility. Figure 3 shows a General view of this installation figure 4 - the prototype.

In the proposed installation includes: 1 - flat inductor; 2 - hard suspension; 3 - axis planar inductor; 4 - stand; 5 - a vessel with liquid magnet; 6 - ammeter; 7 - rheostat; 8 - constant current source; 9 - graduated scale in degrees.

When conducting research with artificially created liquid magnetic material (for example, ferric chloride in water) each time it is necessary to measure the magnetic permeability of the medium. It is also important to determine the power amp at the interaction of the coils with electric current in such an environment. Existing devices for measuring magnetic permeability (Manual for laboratory exercises in physics, edited by Lin. M.: Nauka. 1973. str-334; Pavlunin. Measurement in communications technology. M: Swazi. str-495) do not allow this. Consider how this is achieved in the proposed installation.

Let two circular coil with current I1and I2and radius R0(1) suspended on two hard same suspensions of length 1 on the axes O1and O2. Coils are in their initial position at a distance r0liquid magnet with magnetic insight μ and a density of ρ. Circular coils are located in PLoS one the spine, perpendicular to the axes of rotation of the coils O1and O2and the axes of the coils O3and O4. Under the force of amperethese turns will go to the corner α from the original position. In liquid magnetic material on the circular coil with current I1(1) there are four forces: ampere, the tension of the thread, gravityand buoyancy Archimedeswhere VB- the amount of circular orbits, ρ - plane liquid magnet, mB- weight of round and g is the acceleration of free fall.

The equilibrium condition for each coil has the form:

or projections on the x axis:

on the y axis:

From expressions (1) and (2) we find:

We define the power ampwhich circular coil with current I2acts on the coil with current I1. Let's first find the force with which the magnetic field with inductioncreated by a current I2operating on thebelonging to the contour of the l1with the current I1(Fig 2):

Magnetic induction in accordance with the law of Biot-Savart-Laplace

moreover, the observation point And is the(2) the first round, and consequently, R is the distance between the elementsandboth vectors and vectorsent from.

Combining (4) and (5) find the force:

The force with which a circular coil with current I2acts on the coil with current I1.

With the same force and circular coil with current I1acts on the coil with current I2.

Analytical calculation of the double integral in the formula (6) is impossible, so is it found by the authors method of numerical integration:

where R0is the radius of turns, r is the distance between the centers of the circular orbits, which is found from figure 1:

Equating expressions (3) and (7) and taking into account the equality of the currents in circular orbits I1=I2and the expression (8) find the formula for determining the magnetic permeability of liquid magnetic.

To reduce the consumed current is rokovymi coils replaced them flat coils of mass m, each of which contains N turns. Then the current I1in the expression (9) replace the I1=NI, where I is the current flowing through one coil of the coil. In this case, the Archimedes buoyancy force FA=ρgV, where V is the volume of the coil.

Taking into account the introduced notations will get the final expression for determining the magnetic permeability of liquid magnetic:

The experimental setup for the study of liquid magnetic material presented on figure 3. It contains two planar inductor 1. Both coils 1 are suspended hard suspension 2. The first ends of the rigid suspensions 2 still connected to the inductor 1, and the second their ends pivotally suspended on the axis of rotation 3 of the coils mounted on the stand 4. Flat coils 1 are connected in series with each other, are located in the vessel with liquid magnetic material 5 in the same plane perpendicular to the axes of the coils 1 and the axes of rotation 3 of these coils. The first input of each of the inductor 1 is a rigid support 2, and the second input - thin insulated conductor wound upon a rigid support 2. Consistently connected planar inductor 1 is connected also in series with the ammeter 6, the resistor 7 and the constant current source 8.

The vessel with liquid magnet 5 is mounted on the stand 4, which has a graduated scale in degrees 9. The pointer position on the dial 9 is rigid hanger 2.

Changing the amount of current in the circuit through the rheostat 7, inductors diverge at different angles α, the values of which are measured on a scale in degrees 9. The amount of current measured with the ammeter 6. The measured values of the angle α and current I is substituted into the formula (10) to determine the magnetic permeability of liquid magnetic material. Other values included in the formula (10)shown in the laboratory setting.

The dependence of the strength of ampere F in the interaction of the coils with a current of the magnitude of this current can be calculated by the formula (7).

Technical and economic efficiency of the proposed facility for the study of liquid magnetic material is that it provides improved quality of mastering the fundamental laws and phenomena of physics students.

The proposed installation is implemented at the Department of physics and used in the classroom laboratory exercises in electromagnetism.

The setup for studying liquid of magnetic substance containing two planar inductor and a constant current source, characterized in that it introduced the stand, two rotation axes of the coils mounted on the stand, the VA hard suspension, the first ends of which are pivotally suspended on the axis of rotation of the coils, and the second ends rigidly connected with the flat coils and are the first inputs of flat coils, and the second inputs are thin insulated conductors are wound on both of the hard suspension, ammeter and rheostat, which form a series loop circuit with two series-connected flat coils and a constant current source, a vessel with a liquid magnetic material, mounted on a stand, in which two flat coils in the same plane perpendicular to the axes of the coils and the axes of rotation of these coils, the graduated scale in degrees mounted on the stand.

 

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