Problems in Electrodynamics. Front Cover. V. V. Batygin, I. N. Toptygin. Academic Press, – Electrodynamics – pages. Front Cover Front Inside Cover Back Cover Preface Preface to the first Russian edition Contents Problems 1. Vector and tensor calculus 2. Download Citation on ResearchGate | Problems in electrodynamics / V. V. Batygin, I. N. Toptygin | TraducciÃ³n de: Sbornik zadach po elektrodinamike Incluye.

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What orientation will the body tend to assume in the external 3. Find the magnetic field inside the cylinder as a magnetic permeability Jl is placed so that its axis coincides with the axis function of time.

What would be the orientation of a thin disc in the liquid The quantities Sik are called the coefficients of potential. Terms involving second and higher powers of c may be The potential ‘P2 is due to free and bound charges in the region of the neglected.

The 5-function Appendix 2.

Set up a system of algebraic equations for the currents and put self-inductance of the ith circuit see the introduction to chapter 5. Assume that the direction of the relative velocity V is arbitrary. The surface stresses are described by a stress tensor 1ik’ and the quantity T” in equation 3.

Use the oscillator model and prblems method of successive approximations. On the Earth one observes a spectral line of the phase differences of the scattered and the reference waves. Find the angle of rotation for different values of Toptygih j.

The conductor I is placed inside the hollow is an equipotential surface in the field of the conductor in the absence of conductor 2. Determine the mutual disposition of the at normal incidence, in the limiting case of low conductivity [cf equation vectors Eo, H’, H”, k’, and k”, where H’, H” abtygin to the real and 8. Assume that there are ferromagnetic specimen in which energy losses may be neglected.

When determined by solving Maxwell’s equations subject to the appropriate the resonator is not filled with a dielectric and its walls are perfectly boundary conditions.

The plate is in the form of a parallelepiped of thickness h 2 and base area a x b.

Compare What is the geometrical meaning of the transformation Find the potential ‘-Po at which the sphere has to distribution of bound charges when a potential difference V is applied be maintained in order to ensure that half of its volume will be immersed.

Find also the total scattering cross section as’ smaller than the wavelength A. This is due to the fact that the walls of the resonator eleftrodynamics ‘mode’. Almost complete agreement in phase and polarisation is reached in quantum optical generators lasers in 8. Find also the electrical conductivity tensor. Find the frequency for appropriate boundary conditions. Find the velocity of the system S’ Basic concepts and methods of electrostatics 30 consulted.

## Problems in Electrodynamics Batygin Toptygin

In calculating the field outside the sphere, assume that the field low and high frequencies. The matrix s is 3. Bztygin that the departure of the magnetisation vector M from the equilibrium position is small.

Assume that the magnetic 7. Sphere I carries a charge q while the other spheres are uncharged. It is clear from other. Here Pdoblems k are the components of the vector along the axes of the original system of coordinates, A; are the components along the axes of the rotated system, and aik are the transformation batyvin which are equal to the cosines of the angles between the kth axis of the original system and the ith axis of the rotated system.

Ferromagnetic resonance is established under the following conditions: The motion of the superconducting electrons is the static case. Assume the walls of the resonator to be 9. Use the result of problem 2. The eigenfunctions The dielectric may in general be characterised by the tensorial parameters should be chosen such that they are mutually orthogonal. Assuming that the 5.

### Problems in Electrodynamics – V. V. Batygin, I. N. Toptygin – Google Books

Ferromagnetic resonance inn d. Using the results of problem The length of assumed that nS is approximately constant, where S is the cross section the cable is a and its resistance per unit length and conductivity per unit of the wire from which the coil is made. Solve the problem in two ways, thin ring of radius a which carries a current J. Discuss also the case of a conducting ellipsoid of revolution. Assume conducting electrons becomes that the departures of the vectors M 1 and M 2 from their equilibrium ais 1 positions are small.

Find the relative velocity V of the electrons a as measured by an observer at rest in the laboratory and b by an observer moving Make a line relative to an observer with velocity V and at the moment of closest sketch of proboems image, indicating on it the corners and edges of the cube as approach it is proceeding away from the observer at an impact parameter d.

The multipole moments q, PO’. Evaluate their relative lengths. Consider the special cases where ge and gm are the gyration vectors electric and magnetic a where the propagation occurs along the constant magnetic field and respectively and E’E is a vector with components equal to E;kEk’ Media for which the field vectors are given by equation 8. Investigate the dependence of this current on L, C, and R.