Electromagnetic Theory — Summer 2021

P  2aˆ aˆ ,Q  2aˆ aˆ 2aˆ ,R  2aˆ 3aˆ aˆ x z x y z x y z Determine    1. PQR      2. P QR

Prove that the divergence of curl of any vector field is zero. 

Given the point P(-2,6,3) and A yaˆ (x z)aˆ . Express Pand vector A x y in cylindrical co-ordinate system.

State and explain Gauss’s Law.

State and explain Divergence Theorem.

Derive the expression for the electric flux density due to infinite sheet of charge lying on the z=0 plane.

Derive the expression for the electric flux density due to infinite line charge placed on the z axis.

Two dipoles with dipole moment -5az nC.m and 9az nC.m are located at the points (0,0,-2) and (0,0,3) respectively. Find the potential at the origin. 

Derive the expression E V

The point charges -1nC, 4nC and 3nC are located at (0,0,0), (0,0,1) and (1,0,0) respectively. Find the energy in the system.

Write Maxwell’s equation in differential form and integral form for static electric and magnetic fields.

State and prove Stokes’s Theorem.

7 Figure 1 Derive the expression for the magnetic field at the point Pdue to a straight current carrying filamentary conductor of finite length AB, shown in figure 1.

State and explain Faraday’s Law.

Derive the expression for Lorentz force equation.

7 Figure Obtain the expression of magnetic dipole moment for a rectangular planar loop placed in uniform magnetic field as shown in figure 2.

Explain the concept of conduction current and convection current.

Briefly describe magnetic boundary condition between two different media.

Explain the boundary condition between two dielectric material having permittivity ε and ε .12

Explain the concept of retarded potential.

Explain the concept of skin effect.

Write short note on wave propagation in good conductor.

Define following terms: 1. Standing wave ratio 2. Reflection coefficient 3. Characteristic impedance

Obtain the expression of impedance for a lossless transmission line terminated in short circuit.

Draw the equivalent circuit of the transmission line and derive its voltage and current equations.