3. By adding the energy between each interatomic pair U(r12)=4m1qn, "show that the energy between the...
The exchange coupling as being responsible for ferromagnetism is not the mutual magnetic interaction between two elementary magnetic dipoles. To show this, calculate (a) the magnitude of the magnetic field a distance of 9.7 nm away, along a dipole axis, from an atom with magnetic dipole moment 2.0 × 10-23 J/T, and (b) the minimum energy required to turn a second identical dipole end for end in this field.
3. What is electric dipole moment? Calculate torque (t) and potential energy (U) due a dipole system of (+q) and (-q) in an electric field E and separate by a distance “d"? Problem-3: What is the potential energy to be stored in a dipole system of moment 2 mC in an electric field of 10 N/C at an orientation 15°?
A common approximation to the interatomic forces in a material is the Lennard-Jones potential between neighboring atoms in a solid: U(r) = A/r12 - B/r6 This can be used to find various information about a solid material. Assume that for the lattice of a particular alloy of copper, the Lennard-Jones constants are: A = 2.39 ⨯ 10-133 J·m12 B = 3.19 ⨯ 10-76 J·m6 Find the following: (a) The equilibrium distance between neighboring atoms in the copper lattice (this is...
Problems 1-3, which ask you to explore expressions for
the interatomic bonding energy, are confusing as you need the
answer to problem 3 to answer problem 2 - they are a bit inverted.
Please work you way through problems 1 and 2, and the answer to
problem 3 is already contained in the earlier problems. Sorry for
the confusion!
For the first 3 questions, refer to the following information: The net potential energy between two adjacent A B ions, EN,...
3) The dipolar moment is defined as β-qNP and we note OM-7, we work within the dipolar approximation assuming that the distance of observation r is large compared to the size of the dipole a: a < r. By performing a Taylor development at first order in a/r. show that the electric potential Vr), at a distance r can be approximated to the following expression 4) Calculate the expression ofthe electric field using E =-v V. What is the difference...
3. Assuming atoms can be represented as hard spheres, the bonding energy between a sodium ion and a chloride ion pair can be represented by: 1.436 7.32x10-6 8 1 1 where U is energy per ion pair in eV and r is the separation distance between ions in nanometers. Write answers in units of eV and nm. a) Find the equation for force between the atom pair. b) Find the equilibrium separation distance ro- c) Estimate the elastic modulus for...
I need #3
Each carries 2 marks 1. What is the difference in between conductor and insulators? Write with necessary figures and examples of electrostatic charging by Induction? What is Charge? Problem-1: Find the charge (Q) of a system having 1000 electrons? 2. Explain the electric field produced due to a positive and negative point charges separately with necessary figures? Problem-2: Calculate the electricfield (E) at a field point of 0.2 μm from a point charge +10 pC? What is...
I need #5
Each carries 2 marks 1. What is the difference in between conductor and insulators? Write with necessary figures and examples of electrostatic charging by Induction? What is Charge? Problem-1: Find the charge (Q) of a system having 1000 electrons? 2. Explain the electric field produced due to a positive and negative point charges separately with necessary figures? Problem-2: Calculate the electricfield (E) at a field point of 0.2 μm from a point charge +10 pC? What is...
What is the difference in between conductor and insulators? Write with necessany figures and examples of electrostatic charging by Induction? What is conservation of Charge? 1. Problem-1: Find the charge (Q) of a system having 1000 electrons? Explain the electric field produced due to a positive and negative point charges separately with necessary figures? 2. Problem-2: Calculate the electricfield (E) at a field point of 0.2 μm from a point charge q 10 pC? 3. What is electric dipole moment?...
What is the difference in between conductor and insulators? Write with necessany figures and examples of electrostatic charging by Induction? What is conservation of Charge? 1. Problem-1: Find the charge (Q) of a system having 1000 electrons? Explain the electric field produced due to a positive and negative point charges separately with necessary figures? 2. Problem-2: Calculate the electricfield (E) at a field point of 0.2 μm from a point charge q 10 pC? 3. What is electric dipole moment?...