Question

A simple model of a hydrogen atom is a positive point charge +e (representing the proton) at the center of a ring of radius a with negative charge −e distributed uniformly around the ring (representing the electron in orbit around the proton). Find the magnitude of the total electric field due to this charge distribution at a point a distance a

from the proton and perpendicular to the plane of the ring.

Express your answer in terms of variables e

, a, and the electric constant ϵ0.

Answer #1

in the bhor model of the hydrogen atom the electron is assumed
to orbit the proton in a circle at an average distance of
5.3x10^-11 m. the centripetal force keeping the electron in orbit
is due to the Coulomb force law. e= 1.6x10^-19C, electron = 9.11 x
10^-31
1. what is the electrons velocity?
2. how long does it take the electron to make one orbit around
the proton?
3. the current produced by the electron orbiting the proton is...

A hydrogen atom is made up of a proton of
charge +Q = 1.60 x10-19 C and an
electron of charge –Q= –1.60 x
10-19 C. The proton may be regarded as a point charge at
the center of the atom. The motion of the electron causes its
charge to be "smeared out" into a spherical distribution around the
proton, so that the electron is equivalent to a charge per unit
volume of ρ ( r ) = − Q...

Consider the following model the hydrogen atom. A small point
change of +e is surrounded by an uniform sphere of negative charge
with charge density ρ0 and radius R. Using the fact that hydrogen
atom is neutral, find ρ0 in terms of e and R. (b) Find the electric
fields at any distance r from the center.

Consider a hydrogen atom: a single electron that orbit the
proton, the electron circular orbit has radius Bohr ground state
.529 angstrom.
a. Calculate the magnitude of the Coulomb's force between the
proton and electron
b. Write this force in vector form.
c. Calculate the velocity and acceleration of the electron.
d. Calculate the electron's electric potential energy in
electron volt.

In the Bohr model of the hydrogen atom, an electron moves in a
circular path around a proton. The speed of the electron is
approximately 2.17 106 m/s.
(a) Find the force acting on the electron as it revolves in a
circular orbit of radius 0.532 ✕ 10−10 m. magnitude
(b) Find the centripetal acceleration of the electron.
magnitude

A Hydrogen atom has one proton in the nucleus and one electron
in the shell. In a classic model of the atom, in a certain state,
this electron is in a circular orbit around the nucleus with an
angular momentum of 9.495e-34 Js.
What is the radius of the orbit?
4.30×10-9m
What is the speed of the electron at this radius?
What is the kinetic energy of the electron at this
radius?
What is the kinetic energy in electron-volts?

In Bohr's model for the Hydrogen atom, the electron when it is at the third level rotates in a circular orbit around the proton, at a radius of 4.7 x 10^-10 m. The proton has a positive electric charge of 1.6 x10^-19 C, while the electron has the same charge with an opposite sign. The electrical force between the two particles is responsible for the centripetal force that keeps the electron in its orbit. The mass of the proton is...

A Hydrogen atom has one proton in the nucleus and one electron
in the shell. In a classic model of the atom, in a certain state,
this electron is in a circular orbit around the nucleus with an
velocity of 1090729.85781991 m/s.
What is the radius of the orbit?
What is the angular momentum, L, of the electron at this
radius?
What is the quantum value, n, of the electron at this
radius?
What is the total energy of the...

In a Hydrogen atom an electron rotates around a stationary
proton in a circular orbit with an approximate radius of r
=0.053nm. (a) Find the magnitude of the electrostatic force of
attraction, Fe between the electron and the proton. (b) Find the
magnitude of the gravitational force of attraction Fg , between the
electron and the proton, and find the ratio, Fe /Fg . me = 9.11 x
10-31kg, e = 1.602 x 10-19C mp = 1.67 x 10-27kg k...

In Niels Bohr's 1913 model of the hydrogen atom, an electron
circles the proton at a distance of 5.29 ✕ 10-11 m with a speed of
2.19 ✕ 106 m/s. Compute the magnitude of the magnetic field that
this motion produces at the location of the proton.

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