Question

For a unique solution to the wave equation, what boundary conditions must be satisfied.

a) Boundary conditions are not needed for a medium with no interfaces.

b) This is a trick question; all boundary conditions must be satisfied.

c) The tangential boundary conditions

d) The normal boundary conditions

e) Continuity in solution across the boundary must be satisfied.

T F (1)The loss tangent is related to the ratio of the conduction current density to the convection current density in the complex domain. The conduction current density lies on the vertical axis and the convection on the horizontal axis.

T F (2)Paramagnetic and diamagnetic mediums are linear magnetic mediums.

T F (3) Although the electric field is conservative in electrostatics, it is not conservative for time varying fields even at 1 Hz.

T F (4) If the curl of a vector is zero, the vector is not necessarily conservative.

T F (5) At high frequency, the principles of simple circuit theory, namely the cause and effect relation, breakdown.

T F (6) For motional emf, the magnetic flux density is measured in the laboratory frame of reference. The electric field is measured in the moving frame of reference using clocks and rulers in the laboratory frame of reference.

T F (7)Moving conductors in magnetic fields cannot conduct electricity or store energy in the electric field without another conductor to close the circuit path.

T F (8)Under high voltage conditions, pockets of air in a bushing separating two electrodes may result in breakdown in the bushing because dielectrics tend to expel some components of the electric field into the air pocket.

Answer 1

For a unique solution to the wave equation, what boundary conditions must be satisfied.
Answer:-
b) This is a trick question; all boundary conditions must be satisfied.
Explanation:-
In mathematics, in the field of differential equations, a boundary value problem is a differential equation with a set of additional constraints known as boundary conditions. The solution to a boundary value problem is the solution to a different equation, which also fulfills the boundary conditions.

Boundary value problems arise in many branches of physics as there is no physical difference equation. Problems involving wave equation, such as determining normal systems, are often referred to as boundary value problems. A large class of critical boundary value problems are problems in Sturm-Leo. Analysis of these issues involves the eigenfunctions of a different operator.

To be effective in applications, a boundary value problem must be well presented. This means that if there is input to the problem there is a unique solution, which depends on the input. Much theoretical work in the field of partial differential equations is dedicated to demonstrating that boundary value problems arising from scientific and engineering applications are indeed well presented.