1048 Words5 Pages

Introduction When a charged particle is moving through a magnetic field, it experiences a magnetic Lorentz force given by F ⃗=qv ⃗ ×B ⃗ (1) where q is the charge of the particle, v is the velocity of the charge q and B is the magnetic field. In this experiment, an electron source, which is the heated filament, an electrode and Helmholtz coils are used to generate the magnetic field. Both the electrode and heated filament are placed in a near vacuum container containing a small amount of mercury.*…show more content…*

The magnetic field produced is given by B= (8µ_0 NI)/(√125 a) (2) where µ_0 is the permeability of free space 4π×〖10〗^(-7)WB/A-m, N is the number of turns 72 for this experiment, I is the current and a is the mean radius of each coil .33 meters. The magnetic field through the Helmholtz coil is shown in Figure 1. The region of this magnetic field that we are concerned with is in the center where the magnetic field lines are nearly uniform. When an electron is accelerated by a potential difference V, it gains kinetic energy equal to the work done on it by the field which is given by 1/2 mv^2=Ve (3) Where V is the anode potential and e is the charge of the electron. The force on an electron traveling perpendicular to a magnetic field is given by F=Bev*…show more content…*

Since the force is always perpendicular to the electrons direction of motion, it makes it move in a circular path whose plane is perpendicular to the direction of the magnetic field. The force required to keep a body moving in a circle is F=m v^2/r (5)

With radius r and mass m. The required centripetal force is provided by the force exerted on the electron by the negative field m v^2/r=Bev or m v/r=eB

The magnetic field produced is given by B= (8µ_0 NI)/(√125 a) (2) where µ_0 is the permeability of free space 4π×〖10〗^(-7)WB/A-m, N is the number of turns 72 for this experiment, I is the current and a is the mean radius of each coil .33 meters. The magnetic field through the Helmholtz coil is shown in Figure 1. The region of this magnetic field that we are concerned with is in the center where the magnetic field lines are nearly uniform. When an electron is accelerated by a potential difference V, it gains kinetic energy equal to the work done on it by the field which is given by 1/2 mv^2=Ve (3) Where V is the anode potential and e is the charge of the electron. The force on an electron traveling perpendicular to a magnetic field is given by F=Bev

Since the force is always perpendicular to the electrons direction of motion, it makes it move in a circular path whose plane is perpendicular to the direction of the magnetic field. The force required to keep a body moving in a circle is F=m v^2/r (5)

With radius r and mass m. The required centripetal force is provided by the force exerted on the electron by the negative field m v^2/r=Bev or m v/r=eB

Related

## Electrons In Metals Lab Report

842 Words | 4 PagesElectrons in Metals Fallyn Walker 14423422 An electron is a negatively charged, sub atomic particle. It is a fermion, a particle named after the Fermi-Dirac statistics, which describes the electrons behaviour . Bohr proposed that the electron could move from orbitals. This could explain the spectrum for hydrogen but failed for other elements. The electron has a half integer spin, which leads to intrinsic angular momentum, a feature that all fermions possess.

## Luigi Galvani Thesis Statement

1290 Words | 6 PagesGalvanometer has a word called sensitivity of galvanometer is defined as the current in micro ampere required to consume one millimeter deflection on a scale placed 1m away from a mirror. As with other formulas galvanometer has its own formula called a=the angle of deflection of the coil. Although, the currency of moving coil meters is dependent upon having a uniform and magnetic field. Is a very sensitive instrument used to measure the small currents of the order. Galvanometer gives the deflection which is proportional to the electric current flowing through it.

## Cathode Ray Experiment Research Paper

1085 Words | 5 PagesOrdinary observations were a key to new discoveries which later led to the discoveries in the 1800s. The vacuum pump, which was a tube with electricity passed through with only some air particles, was a large part of finding and studying the relationship between charge and mass. There were metal electrons that were attached on the opposite sides of the tube, and the negative terminal of the battery is the cathode, and the anode is the positive terminal. While Sir William Crookes was experimenting, he saw a ray of light going through the tube. Later, it was discovered that it was radiation that was traveling from the negative terminal, the cathode, to the positive terminal, the anode.

## Gadolinium Lab Report

1035 Words | 5 PagesIt can also reacts with oxygen at high temperatures. Gadolinium has a hexagonal closely packed structure at ambient temperatures, but transforms at temperature of 1262 degree Celsius to a body centred cubic structure. This metal is paramagnetic at room temperature, but becomes ferromagnetic (strongly attracted by a magnet) when cooled below 20degrees Celsius and also shows the magnetoric effects ( meaning that when entering magnetic fields its temperature rises and its temperature decrease when exiting magnetic fields. Gadolinium has a greatest ability to capture thermal neutrons of all elements; and stable in dry air, but tarnishes off in moist environments forming gadolinium (III) oxide. It has a melting point of 1585K (which is the same as 1312°C 2394°F), heat of fusion of 10,05 kJ/mol, and boiling point of 3546 K( 3273 °C, 5923 °F).

## Albert Einstein: The Emergence Of Quantum Mechanics

1068 Words | 5 PagesThe particle-wave duality of atomic and subatomic particles is one of the most fundamental properties in the quantum world. Essentially, this indicates that small particles such as electrons exhibit both particle and wave-like characteristics. An electron has physical properties like mass, volume, and momentum, but it travels in oscillation like a wave and exists in multiple states- not localized in one location. Young’s double-slit experiment was the key to identify particle-wave duality of electrons. Normally, when particles are passed through the double-slit, only two bands are present in the screen (one from each slit).

## Kepler's Second Law, Eccentricity, Questions And Answers

1130 Words | 5 PagesIn other words ellipses can be round or elongated; the degree of stretch is known as eccentricity. Eccentricity is defined as the ratioc/2a. C defined as the distance between the two focuses of the ellipse and a is the semi-major axis. In fact, a circle is an ellipse with an eccentricity of zero. Kepler`s second law is the speed of the planets along their elliptical orbits is such that they sweep out equal areas in equal periods of time.

## Nmr Spectroscopy Lab Report

1580 Words | 7 PagesIntroduction of NMR spectroscopy Nuclear Magnetic Resonance (NMR) spectroscopy is a form of absorption spectroscopy by which a nuclei under investigation absorbs the energy from an external magnetic field and resonances or excites from a low energy state to a high energy state. It involves the disintegration of spin state into two spin states of unequal energy. The emerging radiofrequency is absorbed in a magnetic field resulting to the magnetic properties of the nuclei which getting up from the axial spin. Hence, different NMR absorption spectrum can be obtained which contains one to several groups of absorption lines in the radiofrequency part of the electromagnetic spectrum depends on the particular nucleus. Apparently, the location of peaks

## Nuclear Magnetic Resonance Imaging Lab Report

1131 Words | 5 PagesTopic: Magnetic resonance imaging Introduction: Nuclear magnetic resonance which is nuclei absorb and re-emit electromagnetic radiation phenomenon under a magnetic field. Actually, all elements’ nuclei are electrically charged and spin with different energy level to behave like a magnet. When it is at lower energy which will generate a magnetic field in the direction of the external magnetic field and opposite direction with spin at higher energy. The energy difference between them will correspond to radio frequency called the nuclear magnetic moment. This energy gap refers specific frequency which depends on properties of the isotope of the atoms and the strength of the magnetic field.

## Binding Energy: Fission Versus Nuclear Fusion

1242 Words | 5 PagesDoing some algebra, we can then reduce to the expression 〖nτ〗_E≥L T/σv where L is a constant, T is the temperature of the system, σ is the nuclear cross section, or chance that two particles have to collide, and v is the relative velocity of the two particles. Multiplying both sides by T then gives the triple product as a function of temperature. This is useful because it provides a minimum value for the product of 〖nTτ〗_E for a fusion reaction to occur (Lawson, J. “Some”). The exact value of this minimum will change depending on the type of fuel used in the reaction.

## Perovskite Research Paper

1212 Words | 5 PagesThe first-principles approaches mainly based on the Hartree-Fock approach, the DFT approach etc. The Hartree-Fock self consistent method is one-electron approximation in which the motion of each electron in the effective field of the other electrons is governed by a one electron Schrdinger equation [9]. In the Hartree-Fock approximation, the antisymmetric product of one-electron wave functions is used i.e it takes into account of the corre- lation arising due to electrons of same spin, however, the motion of the opposite spin remains uncorrelated [10, 11, 12]. In density funtional theory (DFT), the exchange- correlation is expressed as a functional of the electron density and the electronic states are solved for self-consistency as in the Hartree-Fock approximation. The exchange-correlation potential includes the exchange interaction arising from the antisymmetry of the wave functions and the dynamic correlation effect arising due 3to the Coulomb repulsion between the electrons.

### Electrons In Metals Lab Report

842 Words | 4 Pages### Luigi Galvani Thesis Statement

1290 Words | 6 Pages### Cathode Ray Experiment Research Paper

1085 Words | 5 Pages### Gadolinium Lab Report

1035 Words | 5 Pages### Albert Einstein: The Emergence Of Quantum Mechanics

1068 Words | 5 Pages### Kepler's Second Law, Eccentricity, Questions And Answers

1130 Words | 5 Pages### Nmr Spectroscopy Lab Report

1580 Words | 7 Pages### Nuclear Magnetic Resonance Imaging Lab Report

1131 Words | 5 Pages### Binding Energy: Fission Versus Nuclear Fusion

1242 Words | 5 Pages### Perovskite Research Paper

1212 Words | 5 Pages