Exam Details

Subject theory of electromagnetics
Paper
Exam / Course pddc
Department
Organization Gujarat Technological University
Position
Exam Date December, 2018
City, State gujarat, ahmedabad


Question Paper

1
Seat No.: Enrolment
GUJARAT TECHNOLOGICAL UNIVERSITY
PDDC SEMESTER-IV EXAMINATION WINTER 2018
Subject Code:X40904 Date: 01/12/2018
Subject Name: Theory of Electromagnetics
Time: 02:30 PM TO 05:00 PM Total Marks: 70
Instructions:
1. Attempt all questions.
2. Make suitable assumptions wherever necessary.
3. Figures to the right indicate full marks.
4. Bold letter indicate vector quantity.
Q.1

Explain Cartesian co-ordinate system. Also explain transformation of vector from Cartesian to cylindrical coordinate system.
07

Given A 2ax 5ay 4az and B 3ax 5ay 2az
find the following:
A B
A
B
A . B
The angle between and A and B
A x B
The unit vectors normal to the plane containing A and B.
07
Q.2

Derive the formula for electric field intensity due to infinite line charge
which lies along the z-axis
07

Explain Coulomb's law. A charge Q1 is located at and a charge Q2 50 is located at Find the force exerted by Q2 on Q1.
07
OR

Find magnitude and direction of electric field intensity at if uniform line charge of 5× 10-9 lies along the y-axis the line y=4
07
Q.3

Define potential gradient and hence prove that E -grad V
07

State and explain Gauss' law.
07
OR
Q.3

What is electric flux and electric flux density? State the relationship between electric flux density and electric field intensity for free space?
07

Two co-axial conducting cylinders have inner radius of and outer radius of Gauss' law to find D in all the regions
07
Q.4

Discuss the procedure to find the work done in moving a point charge from one point to another in an electric field. Also explain and define potential and potential difference.
07

Write a short note on electric dipole.
07
OR
Q.4

Explain dielectric-dielectric boundary conditions. Also derive the relationship between electric flux densities in both the dielectrics
07

Discuss Poisson's and Laplace's equations.
07
Q.5

What is curl? Prove that curl H J.
07

State and Explain Ampere's Circuital law.
07
OR
2
Q.5

Discuss Maxwell's equations in integral form and point form.
07

State and explain Lorentz force equation. Also prove that force on a current element depends upon the angle between the vectors representing the direction of current flow
and the direction of magnetic flux density
07



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