Problem 2: Show that the magnetic dipole moment μ of an electron orbiting the proton nucleus of a...
4. Orbital Magnetic Moment - In the derivation of the orbital magn etic dipole moment in the notes, we assumed a single electron orbiting a nucleus to obtain the magnetic moment. From a quantum mechanical point of view this is strange because the electron's position is uncertain. Instead of the single charge consider the cases below. Follow the analysis th rough and determine if a different result would have been obtained for the magnetic moment. Consider the electrons charge and...
4. Orbital Magnetic Moment - In the derivation of the orbital magn etic dipole moment in the notes, we assumed a single electron orbiting a nucleus to obtain the magnetic moment. From a quantum mechanical point of view this is strange because the electron's position is uncertain. Instead of the single charge consider the cases below. Follow the analysis th rough and determine if a different result would have been obtained for the magnetic moment. Consider the electrons charge and...
The distance between proton and electron or a molecule of dipole and electron molecule of dipole moment is 7.2D: (q=1.10^-19C and 1D= 3.34x10^-30C.m) a 140 pm b 135 pm c 155 pm d 150 pm e 130 pm need answer asap The distance between proton and electron of a molecule of dipole moment 7.2 D is: * (3 Points) (q = 1.10- C and ID = 3.34 x 10-30 C.m) 140 pm 135 pm 155 pm 150 pm 130 pm
Calculate the electric dipole moment of an electron and a proton 4.30 nm apart?
An electron and a proton are 0.53 x 10^-10 m apart. Calculate their dipole moment if they are at rest. Using your dipole moment calculation, find the electric potential at a point 1.1 x 10^-9 m away when this point is along the axis of the dipole nearer the positive charge and when this point is 45o left of the axis but nearer the negative charge.
4. Magnetic Dipole Moment on a PEC Sphere: In HW 4-Problem 5, you found the electric dipole moment for a metal sphere of radius a in a uniform electric field. In this problem you will find the magnetic dipole moment for the same metal sphere but now in a uniform magnetic field, Hext-Hext2. Note:Assume that the sphere is centered at the origin of a spherical coordinate system. Express Hext in spherical coordinates. To find the magnetic field that is induced...
Intro to Quantum Mechanics Problem: An electron under the influence of a uniform magnetic field By in the y-direction has its spin initially (at 0) pointing in the positive x-direction. That is, it is in an eigenstate of S with eigenvalue +,S h. The Hamiltonian H--μ . B-γ By Sy consists of the interaction of the magnetic dipole moment μ due to spin and the magnetic field B. Show that the probability of finding the electron with its spin pointing...
3. Show that the units of the magnetic moment,μ , are Aem2 (ampere meter).
Determine the magnitude of the force between an electric dipole with a dipole moment of 2 ✕ 10-29 C m and an electron. The electron is positioned r = 24 nm from the centre of the dipole, along the dipole axis. Hint: Assume that r >> d, with d the charge separation distance in the dipole.
Problem 10 (Problem 2.24 in textbook) The wavefunction for the electron in a hydrogen atom in its ground state (the 1s state for which n 0, l-0, and m-0) is spherically symmetric as shown in Fig. 2.14. For this state the wavefunction is real and is given by exp-r/ao h2Eo 5.29 x 10-11 m. This quantity is the radius of the first Bohr orbit for hydrogen (see next chapter). Because of the spherical symmetry of ịpo, dV in Eq. (2.56)...