A linear accelerator produces a pulsed beam of electrons. The current is 1.6 A for the...

A linear accelerator produces a pulsed beam of electrons. The current is 1.6 A for the 0.1 μs duration for each pulse.

How many electrons are accelerated in each pulse?
What is the average current of the beam if there are 1000 pulses per second?
If each electron acquires an energy of 400 MeV, what is the average power output of the accelerator? Assume there are 1000 pulses per second for the accelerator.
What is the peak output power? Hint: this occurs when 10¹² electrons are accelerated in 0.1 μs.

Solutions

Expert Solution

genius_generous answered 2 months ago

Next > < Previous

Related Solutions

An accelerator produces a beam of protons with a circular cross section that is 1.6 mm...

An accelerator produces a beam of protons with a circular cross section that is 1.6 mm in diameter and has a current of 1 mA. The current density is uniformly distributed throughout the beam. The kinetic energy of each proton is 20 MeV. The beam strikes a metal target and is absorbed by the target. 1) What is the number density of the protons in the beam? 2) How many protons strike the target in each minute? 3) What is...

A proton beam in an accelerator carries a current of 145 µA. If the beam is...

A proton beam in an accelerator carries a current of 145 µA. If the beam is incident on a target, how many protons strike the target in a period of 29.0 s? protons

You wish to build a linear accelerator that will accelerate electrons to ?=89 % of the...

You wish to build a linear accelerator that will accelerate electrons to ?=89 % of the speed of light. You want adjacent drift tubes to be at +5000V and −5000V potentials. To work this problem, you will need the relativistic formula for kinetic energy. (?=??2/2 doesn't work for really fast particles.) Kinetic energy is ?=?0(?−1) where ?0 is the rest energy of an object. The rest energy of an electron is 0.511 MeV. [Remember that if we want to convert...

The normalized wave function of an electron in a linear accelerator is ψ = (cos χ)eikx...

The normalized wave function of an electron in a linear accelerator is ψ = (cos χ)eikx + (sin χ)e–ikx, where χ (chi) is a parameter. (a) What is the probability that the electron will be found with a linear momentum (a) +kħ, (b) −kħ? (c) What form would the wave function have if it were 90% certain that the electron had linear momentum +kħ? (d) Evaluate the kinetic energy of the electron.

The orbital electrons of an atom can be ejected by exposure to a beam of electromagnetic...

The orbital electrons of an atom can be ejected by exposure to a beam of electromagnetic radiation. Specifically, an electron can be ejected by a photon with energy greater than or equal to the electron's binding energy. A photon's energy (E) is equal to hc/λ, where h is Planck’s constant, c is the speed of light, and λ is the wavelength. Calculate the maximum wavelength of radiation (corresponding to the minimum energy) necessary to eject a 1s electron from a...

Each of the electrons in the beam of a television tube has a kinetic energy of...

Each of the electrons in the beam of a television tube has a kinetic energy of 11.0 keV. The tube is oriented so that the electrons move horizontally from geomagnetic south to geomagnetic north. The vertical component of Earth's magnetic field points down and has a magnitude of 50.0 μT. 1.What is the acceleration of a single electron due to the magnetic field? 2.How far will the beam deflect in moving 20 cm through the television tube?

The electrons in the beam of a television tube have an energy of 13 keV. The...

The electrons in the beam of a television tube have an energy of 13 keV. The tube is oriented so that the electrons move horizontally from north to south. The vertical component of the Earth's magnetic field at the location of the television has a magnitude of 42.0 ?T and is pointing down. a) In which direction does the force on the electrons act (enter N for north, S for South, E for East, or W for West)? Neglect a...

A beam of electrons is incident on a single slit whose width could be varied with...

A beam of electrons is incident on a single slit whose width could be varied with as high precision as we like. Assuming that we would like to resolve 1% difference in momentum, please estimate the slit width that would be necessary to resolve the interference pattern of the electrons if their kinetic energy is (a) 0.02 MeV, (b) 0.8 MeV and 120 MeV? Hint: one does not need to do a detailed interference pattern analysis here, just use your...

A beam of electrons accelerated by a voltage V hits a target made of atoms of...

A beam of electrons accelerated by a voltage V hits a target made of atoms of atomic number Z=20 . Suppose the atom ( Z=20) has a spherical and uniform distribution of outer electrons , so that Bohr's model can be used to describe its inner electron. An electron from the accelerated beam hits an atom of the target and ejects the innermost electron of the atom. Assuming that the electron of the beam transferred all its kinetic energy to...

The electrons in the beam of a television tube have a kinetic energy of 2.37 × 10...

The electrons in the beam of a television tube have a kinetic energy of 2.37 × 10 -15 J. Initially, the electrons move horizontally from west to east. The vertical component of the earth's magnetic field points down, toward the surface of the earth, and has a magnitude of 2.73 × 10 -5 T. What is the acceleration of an electron due to this field component?

Subjects