ElectroMagnetic Theory Concepts & Solved Numericals

1. Define A Uniform Plane Wave. Answer: In an uniform plane wave the electric and magnetic field vectors both lie in a plane and all such planes are parallel to each other. Also the amplitude and phase of vectors E and H are constant over the planes & they are always normal to the direction pf propagation. 2. State Gauss Divergence Theorem. Answer: This theorem states that the net flux of a vector field F over any closed surface S is equal to the volume integral of the divergence of that vector field over the volume enclosed by the surface S . Mathematically it is expressed as: 3. State Stoke’s Theorem. Answer: This theorem states that the line integral of vector field A around the closed curve forming the periphery of any surface S is equal to surface integral of the curl of that vector field taken over surface S bound by the curve forming periphery of the surface. Mathematically it is expressed as: 4. What Do You Understand By Displacement Current...

Mathematically divergence of a vector A is defined as: Where the surface S is a closed surface that completely surrounds a small volume Δ v and where ds points outward from the closed surface. - A divergence is applied to a vector as a function of position, yielding a scalar . The divergence actually measures how much the vector function is spreading out. - Divergence of a vector field A is a measure of how much a vector field converges to or diverges from a given point. In simple terms it is a measure of the outgoingness of a vector field. - Divergence of a vector field is positive if the vector diverges or spread out from a given point. If you are at a location from which the vector field tends to point away in all directions, you will definitely have a positive divergence. It means divergence is positive at a source point in the field. - Divergence of a vector field is negative if the vector field converges at that point. If the field points in...