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GURU TEGH BAHADUR INSTITUTE OF TECHNOLOGY
Electromagnetic Field Theory
(4th Semester)
Assignment 1
Q1. State and explain divergence and curl of a vector field. Based on these explain divergence
theorem and stroke’s theorem.
Q2. Based on the concepts of electrostatics and magnetic , explain the concept of scalar and
vector potential .
Q3. Write the units for the following …
i)
ii)
iii)
iv)
v)
Permittivity
Permeability
Surface current density
Pointing vector
Magnetic vector potential
Q4 explain the difference between finite and infinite transmission line
Q5 explain clearly about equation of continuity for time varying fields
Compiled by: Parul Dawar, Inderpreet Kaur, Gunjeet Kaur
GURU TEGH BAHADUR INSTITUTE OF TECHNOLOGY
Assignment 2
Q1. State the boundary condition of electric and magnetic field with diagram
Q2. Derive continuity equation for time varying field . state its significance in electromagnetic.
Q 3. Explain the concept of dirac delta representation for an infinitesimal dipole.
Q4. A uniform line charge density of 20n c/m liies on the Z axis between Z=1m and Z=3 m.
Find the electric field intensity at the Origin 𝐸⃗
Q5. A potential field is expressed as
V(r, 𝜑,z) = 50 r2 z cos 𝜑
Find i) electric field 𝐸⃗
ii) volume charge density ρ at
P (4, 30o , 2)
Compiled by: Parul Dawar, Inderpreet Kaur, Gunjeet Kaur
GURU TEGH BAHADUR INSTITUTE OF TECHNOLOGY
Assignment 3
Q1. State and explain Maxwell’s equation in their general time varying fields in
i)
ii)
Integral form
differential form
Q2. What is magnetic vector potential 𝐴̅ ? what is its importance .
Q3. Derive an expression for the conductance (G) per unit length of a coaxial cable
Q4. What is the meaning of
𝜎
𝜔𝜖
.when we talk about the propogation of EM waves in a
medium?
What is its influence on wave propogation ?
Q5. Give mathematical statement of coulomb’s law for electric field intensity for various charge
distribution .
Compiled by: Parul Dawar, Inderpreet Kaur, Gunjeet Kaur
GURU TEGH BAHADUR INSTITUTE OF TECHNOLOGY
Assignment 4
Q1. Transform the given vector 𝑃̅ into spherical coordinate 𝑃̅ = ( y+z)𝑖̅ x
Q2. State and explain ampere’s law in magneto statics. How is it modified for time varying
Fields?
Q3. what is the distortionless line? What are the conditions for line to be distortionless?
Q4. Derive an expression for intrinsic impedence in a lossy medium. What is the phase
difference b/w electric and magnetic fields in good conductors?
Q5 . How do you define magnetic field intensity?
Compiled by: Parul Dawar, Inderpreet Kaur, Gunjeet Kaur
GURU TEGH BAHADUR INSTITUTE OF TECHNOLOGY
Assignment 5
Q1.. What is the interpretation of E x H?
Q2. Why stub matching is required in transmission lines? Explain the principle of single stub
and double stub matching?
Q3. For a 2-D system in which r√𝑎2 + 𝑏 2 . Determine ∇2 V when V=1/r and when V= ln 1/r.
Q4. A circular disk r<= 2m, in the z =0 plane has a charge density ρs = 10-8 c/ m2. Determine
the electric field 𝐸⃗ at (0, ϕ, h) .
Q5. Derive the expression of field at the center of the circular loop using of ampere force law.
Compiled by: Parul Dawar, Inderpreet Kaur, Gunjeet Kaur