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Terminal examination emf ii
1. COMSATS University Islamabad, Lahore Campus.
Department of Physics
Terminal Examination – Spring 2021
Course Title: Electromagnetic Theory-II Course Code: PHY326 Credit Hours: 3
Course
Instructor
Ms. Faiza Mustafa.
Programme Name: BPH
Semester: 5th
Batch: SP19 Section: A Date: July 1st
, 2021
Time Allowed: 3 hours Maximum Marks: 50
Student’s
Name:
Reg. No.
Important Instructions / Guidelines:
➢ Be sure to record all measurements in SI units and to show all calculations.
➢ Write your Name and Registration Number and Section on each page of the Paper before the start
of the Exam.
➢ Upload your paper with file name of your Registration ID.
➢ Attempt all questions.
Question #1 Marks = 6+4
(a)In an electrodynamic system suppose that two sets of potentials (A, V) and (A*, V*) correspond
to same Electric field E and magnetic field B. Where A* = A + δ and V* = V+ ζ find the
condition on δ and ζ to satisfy the E and B. Where 𝑬 = 𝛁𝑽 −
𝝏𝑨
𝝏𝒕
and 𝑩 = 𝛁 𝐗 𝑨.
(b) Given that H = ay 2 cos (15πx) sin (6π109
t – βz). Find the value of E and β.
Question #2 Marks = 10
An electric field of electromagnetic wave of amplitude 100 V/m incident from free space on to a
perfect conductor. The frequency of the electromagnetic wave is 15MHz. where the constants for
perfect conductors are ϵr = μr =1 and σ = 58.75 MS/m. Determine the reflected and transmitted
electric fields at the interface and transmission and reflection coefficients.
2. COMSATS University Islamabad, Lahore Campus.
Department of Physics
Question # 3 Marks = 10
Under static conditions the curl of E is zero and divergence of B is zero that is given below
𝜵 𝑿 𝑬 = 𝟎 𝒂𝒏𝒅 𝜵 . 𝑩 = 𝟎
Show that the time harmonic maxwell equations involving electric fields can be written in form of
scalar potential and the Maxwell equations involving magnetic field can be written in form of
vector potentials.
Question # 4 Marks = 10
The electric field vector of a uniform plane wave in free space is given by
E = ay 5 exp [-j2π (0.6x +0.8z) + jωt]
Show that the given electric field satisfy the wave equation provided that angular frequency “ω”
has certain value. Calculate the value of phase constant, wavelength and value of angular frequency
of the given electric field.
Question # 5 Marks = 10
For a uniform plane in air has magnetic field
H = ax 2 exp [j (ωt -(π/20) z]
Calculate the following parameters
i. Wavelength
ii. Frequency
iii. Value of E at t = 0.5μs at Z = 5 m
iv. Power per square meter
Best of Luck
![COMSATS University Islamabad, Lahore Campus.
Department of Physics
Question # 3 Marks = 10
Under static conditions the curl of E is zero and divergence of B is zero that is given below
𝜵 𝑿 𝑬 = 𝟎 𝒂𝒏𝒅 𝜵 . 𝑩 = 𝟎
Show that the time harmonic maxwell equations involving electric fields can be written in form of
scalar potential and the Maxwell equations involving magnetic field can be written in form of
vector potentials.
Question # 4 Marks = 10
The electric field vector of a uniform plane wave in free space is given by
E = ay 5 exp [-j2π (0.6x +0.8z) + jωt]
Show that the given electric field satisfy the wave equation provided that angular frequency “ω”
has certain value. Calculate the value of phase constant, wavelength and value of angular frequency
of the given electric field.
Question # 5 Marks = 10
For a uniform plane in air has magnetic field
H = ax 2 exp [j (ωt -(π/20) z]
Calculate the following parameters
i. Wavelength
ii. Frequency
iii. Value of E at t = 0.5μs at Z = 5 m
iv. Power per square meter
Best of Luck](data:image/gif;base64,R0lGODlhAQABAIAAAAAAAP///yH5BAEAAAAALAAAAAABAAEAAAIBRAA7)