# How it behaves electrically charged particles in electric and magnetic fields?

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electrically charged particles - a particle that has a positive or negative charge.This can be either atoms, molecules or elementary particles.When electrically charged particles in an electric field is, it acts Coulomb force.The value of this force, if you know the field strength at a specific point is calculated by the following formula: F = qE.

So, we have determined that an electrically charged particle, which is in an electric field, moves under the influence of the Coulomb force.

Now consider the Hall effect.Experimentally it has been found that the magnetic field acts on the motion of charged particles.Magnetic induction is the maximum force which affects the speed of movement of such a particle by the magnetic field.A charged particle moves with unit velocity.If an electrically charged particle will fly in the magnetic field at a given speed, the force, which acts on the part of the field is perpendicular to the velocity of the particle and thus the magnetic induction vector: F = q [v, B].Since the force acting on the particle is perpendicular to the velocity of motion, and acceleration, as given by this force perpendicular to the motion, the acceleration is normal.Accordingly, the rectilinear trajectory of the bend is in contact with a charged particle in a magnetic field.If the particle flies parallel to the lines of magnetic induction, the magnetic field does not act on a charged particle.If it enters perpendicular to the lines of magnetic induction, the force acting on the particle is at a maximum.

Now we can write Newton's Law II: qvB = mv2 / R, or R = mv / qB, where m - is the mass of the charged particle, and R - the radius of the trajectory.This equation implies that a particle moving in a uniform field of a circle of radius.Thus, the period of revolution around the circumference of the charged particles does not depend on speed.It should be noted that the electrically charged particles trapped in the magnetic field, the kinetic energy is unchanged.Due to the fact that the force is perpendicular to the motion of a particle at any point of the trajectory, the strength of the magnetic field, which acts on the particle does not perform work connected with the movement of the charged particles.

direction of the force acting on the motion of a charged particle in a magnetic field can be determined by the "rules of the left hand."For this it is necessary to position the left hand so that four fingers pointing direction of the velocity of the charged particles well and the magnetic induction lines are directed to the center of the palm, in this case bent at 90 degrees thumb will show the direction of the force which acts on the positivelycharged particles.In that case, if the particle has a negative charge, the direction of the force will be opposite.

If electrically charged particles that fall into the area of ​​joint action of magnetic and electric fields, it is a force, called the Lorentz force: F = qE + q [v, B].The first term in this case relates to an electrical component, and the second - to the magnetic.