The velocity of the electron can be computed as,
$$ \begin{aligned} \frac{1}{2} m v^{2} &=e V \\ v &=\sqrt{\frac{2 e V}{m}} \end{aligned} $$
When the electron enters the magnetic field,
$$ \begin{aligned} \frac{m v^{2}}{r} &=e v B \\ r &=\frac{m v}{e B} \\ &=\frac{1}{B} \sqrt{\frac{2 V m}{e}} \end{aligned} $$
Electrons (mass m, charge –e) are accelerated from rest through a potential difference V and are...
An electron (mass m = 9.11 x 10-31 kg, charge e = 1.6 x 10-19 C) are accelerated from rest through a potential difference V = 450 V and are then deflected by a magnetic field (B = 0.4 T) that is perpendicular to their velocity. The radius of the resulting electron trajectory is:
2.032 4. An electron is accelerated through potential difference of 150 V from rest and then enters a region of uniform magnetic field traveling perpendicular to the field. The magnitude of magnetic field is 0.50 T. a) What is the magnitude of magnetic force acting on the electron (5.8x10-14 N), and b) what is the radius of the path? (8.3x10 m) Note: The mass of electron is 9.11 x 103 kg, and the charge of electron is 1.6x 10-1 C...
An electron is accelerated from rest by a potential difference of 400 V. It then enters a uniform magnetic field of magnitude 225 mT with its velocity perpendicular to the field. (a) Calculate the speed of the electron. m/s (b) Calculate the radius of its path in the magnetic field. m
It is then deflected by a uniform magnetic field (perpendicular to the ion's velocity) into a semicircle of radius R. Now a triply charged ion of mass m' isaccelerated through the same potential difference and deflected by the same magnetic field into a semicircle of radius R' = 4R. What is the ratio of the masses of theions? m'/m =
In a laboratory experiment, a beam of electrons is accelerated from rest through a 148-V potential difference. The beam then enters a uniform magnetic field and follows a circular path of radius r = 19.1 cm in the field region. (a) What is the angle between the magnetic field and the electrons' velocity? (b) What is the magnitude of the magnetic field? Submit Answer
An electron is accelerated from rest through a potential difference of 2600 V and then enters a region where there is a uniform 1.40-T magnetic field. a) What is the magnitude of the magnetic force on the electron if it is moving in the direction of the magnetic field? b) What is the magnitude of the magnetic force on the electron if it is moving opposite to the direction of the magnetic field? c) What is the magnitude of the...
An electron is accelerated from rest through a difference of potential V. a) Show that the de Broglie wavelength, in unit of angstrom Å (10-10 m), for a non- relativistic electron accelerated through a small potential difference is: λ =12.27/(v)^1/2 b) Calculate λ if the electron is accelerated through 50 V. c) Find the de Broglie wavelength for a relativistic electron that is accelerated from rest through a large difference potential difference at a modern particle collider. d) Show that...
A beam of electrons is accelerated through a potential difference of 11.0 kV before entering a velocity selector. If the B-field of the velocity selector is perpendicular to the velocity and has a value of 0.02 T, what value of the E-field is required (in the magnetic field region) if the particles are to be undeflected? answer in V/m
4. A beam of electrons is accelerated through a potential difference of 10.0 kV before entering a velocity selector. If the B-field of the velocity selector is perpendicular to the velocity and has a value of 0.02 T, what value of the E-field is required (in the magnetic field region) if the particles are to be undeflected? V/m
4. A beam of electrons is accelerated through a potential difference of 12.0 kV before entering a velocity selector. If the B-field of the velocity selector is perpendicular to the velocity and has a value of 0.03 T, what value of the E-field is required (in the magnetic field region) if the particles are to be undeflected? V/m