# data[].attributes.body
In a magnetic field, a charged particle with starting speed perpendicular to field lines makes a uniform circular movement, where the centripetal force is subsituted by Lorenz force

# data[].attributes.attachment_link.title
Motion of Electric Charges in a Uniform Magnetic Field

# data[].attributes.attachment_link.description
This animation portrays the motion of an electric charge in a uniform magnetic field. Starting with the special case where the initial motion is perpendicular to the magnetic field, we see that the motion is circular. The frequency of this circular motion (the cyclotron frequency) does not depend upon the speed of the charge.

# data[].attributes.body
The circulation of the magnetic field along any close way L is directry proportional to the linked currents with L.

# data[].attributes.attachment_link.description
Electrons are accelerated in an electric field and enter a magnetic field at right angles to the direction of motion. The specific charge of the electron is determined from the accelerating voltage, the magnetic field strength and the radius of the electron orbit.

# data[].attributes.body
the fotmula of circulation of magnetic field is   Γ(B) = ∑ B j ∆l j

# data[].attributes.body
the flow of magnetic field through any closed surface is null: Φ Ω(B) = 0

# data[].attributes.body
if the surface is plain and the magnetic field is uniform, is Φ s(B) = B S = BS cos α: is positive, if the field lines exit from the positive face of the surface, negative if enter in it.

if the surface curved and magnetic field changes on the surface, is Φ Ω(B) = ∑ B i ∆S i.

the unit of measure is weber.

# data[].attributes.body
Is the ratio between the modulus of the elementary charge e, equal to electron one, and his mass.

the value obtained by Thomson in 1897 was 1,7 x 10^-11.

# data[].attributes.body
is exercitated by a mgnetic field on a charge q in movement with speed v.

his modulus is F=qvBsenα where α is the angle included between v and B.

his direction is perpendicular to the plane defined by vecto r v and B.

his way is given by right hand's rule: if the charge is positive, head towards the thumb in the way of velocity; if is negative head towards the thumb in the opposite way of velocity.

can modify the direction of the charge, but can't change the value of velocity because is perpendicular to the immediate movement of the charge.

# data[].attributes.body
Punctiform charge q that moves with a speed v in a magnetic field vector B conveys the force Fq given by the formula:
Fq= qv x B
called lorenz force.

# data[].attributes.body
The magnetic field is generated by electric charges in movement, who in turn electric charges in movement are subject to forces when there are in a magnetic field.

# data[].attributes.attachment_link.description
Electricity + magnetism = motion, thanks to the Lorenz force. Find out how. https://nationalmaglab.org/education/magnet-academy

# data[].attributes.headline
MOTION OF A CHARGE IN A UNIFORM MAGNETIC FIELD

# data[].attributes.subject
MOTION OF A CHARGE IN A UNIFORM MAGNETIC FIELD

# data[].attributes.body
∆V=dvB
Hall's voltage is directly proportional at magnetic field. Thanks to Hall effect we can measure the intensity of magnetic field starting from a potetnional different.

# data[].attributes.body
A foil traveled by current is inserted in a field in order to the direction of the current be perpendicular at the direction of the plane; between his borders there is a potential different due to Lorenz force which acts on the charge's bearers.