Piezoelectric effect

The piezoelectric effect consists in the development of unlike electric charges on the faces of certain crystals when they are mechanically distorted in specific directions. This effect is observed in quartz, tourmaline, barium titanate and sphalerite. In quartz, the piezoelectric effect takes place along the electrical axes. If the direction of deformation is reversed, the chargers developed on the surfaces will also be reversed. The inverse piezoelectric effect consists in changing the linear dimensions of certain crystals by applying an electric field.

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Angular momentum

The angular momentum of a vector is also an integral of motion of a closed system. The law of conservation of angular momentum is closely associated with the isotropy of space. The mechanical properties of a closed system remains unchanged upon any rotation of the system as a whole in isotropic space. The Lagrangian function of system does not change in this rotation.

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Orientation polarization

This is also called dipole polarization and consists in the aligning of the axes of permanent dipoles along the direction of the intensity vector of the field. As a result of combined action of the electric field and thermal agitation of molecules which disorients the dipole molecules, preferred orientation of the dipole molecules occurs in alignment with the field. Orientation polarization increases with the intensity of the field and decreases with a rise in temperature. It is found in many liquids and gases.

London city hotels

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A Capacitor

A capacitor is a system of two oppositely charged conductors having charges of equal magnitude and having such shapes and relative position that the field set up by the system is concentrated in a limited region of space. In the case of parallel plate capacitors, the conductors are called plates. The capacitance of the capacitor is the mutual capacitance of its plates. The formula for capacitance of a multiple capacitor differs from that for a parallel plate capacitor.

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Electrostatic Induction

The phenomenon of electrifying an uncharged conductor in an external electrostatic field is called electrostatic induction. It consists in separating the positive and negative charges equal amounts of which are contained in the conductor. These induced charges disappear when the conductor is removed from the electrostatic field. In any method of electrifying the conductor the electric charges are distributed over its surface and the cavities in the enclosed conductor are shielded from the external electrostatic fields.

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Conductors in electrostatic field

Under the action of an external electrostatic field, the charges in a conductor are redistributed in such a manner that the intensity of the resulting field at any point inside the conductor equals zero. The surface of the conductor is also equipotential. In a charged conductor, the uncompensated electric charges are located only on its surface.

Laptop

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A vortex line

A vortex line is an imaginary line whose tangent at each point at the given instant of time coincides in direction with the velocity vector curl at this point. The vortex strength is the product of the magnitude of vector curl in some normal cross section of the vortex tube by the area of this cross section. The vortex strength is constant along the whole vortex tube and is equal to the velocity circulation along an arbitrary closed curve drawn on the surface of the vortex tube and encircling it.

Vacations

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Equipotential surface

An equipotential surface is the locus of the points in an electrostatic field having the same potential. At any point of an equipotential surface, the electric intensity vector of the field is perpendicular to the surface and directed toward the decrease in potential. The intensity at an arbitary point of an electrostatic field is equal to the gradient of potential at that point taken with the minus sign.

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Repulsion of like charge

The potential energy of repulsion of like charges is positive and increases as the charges come closer together. The potential energy of attraction of unlike charges is negative and increases up to zero as one of the charges move to infinity. The potential of an electric field is its energy characteristic.

Electrostatic field intensity

The intensity of the electrostatic field set up by a sphere of radius R, whose charge q is uniformly distributed over its surface, coincides outside the sphere with the intensity of the field set up by the point charge q placed at the center of the sphere. The intensity of the field inside the sphere is 0.

Bound charges

Bound charges are those included in the composition of the atoms and molecules of the dielectric , as well as the charges of ions in crystalline dielectric having an ionic lattice. All the other charges are said to be free. Examples of free charges are the conduction electrons in metals, ions in gases.

superposition of electric fields

The resultant force F exerted on a test charge q0 by a field, set up by a system of fixed charges q1, q2,…..qn , is equal to the vector sum of the force Fi exerted om the test charge by each of the fields of charges q1. This leads to the principle of superposition of electric fields.