Firstranker's choice
Seat No.: Enrolment No.
--- Content provided by FirstRanker.com ---
GUJARAT TECHNOLOGICAL UNIVERSITY
BE - SEMESTER- IV EXAMINATION — SUMMER 2020
Subject Code: 2140909 Date:29/10/2020
Subject Name: Field Theory
Time: 10:30 AM TO 01:00 PM Total Marks: 70
--- Content provided by FirstRanker.com ---
Instructions:
- Attempt all questions.
- Make suitable assumptions wherever necessary.
- Figures to the right indicate full marks.
Q.1
--- Content provided by FirstRanker.com ---
(a) State Gauss's law. Also write limitations of Gauss' law. [03]
(b) Define and explain unit vectors in cylindrical and spherical co-ordinate systems. [04]
(c) Planes x=2 and y= -3, respectively carry charges 10 nC/m² and 15 nC/m². If the line x=0, z=2 carries charge 10m nC/m, calculate E at (1,1,-1) due to three charge distribution. [07]
Q.2
(a) Define (1) Electric field intensity (2) Potential Difference (3) Potential gradient [03]
--- Content provided by FirstRanker.com ---
(b) State and prove Stoke's Theorem. [04]
(c) Express the vector B = %ar + 7 cos ? a? + af in cartesian coordinate. Find vector B at (-3, 4, 0)) [07]
OR
(c) What is an electric dipole? Derive expression for electric field intensity and potential due to an electric dipole. [07]
Q.3
--- Content provided by FirstRanker.com ---
(a) Derive the relation between current and current density. [03]
(b) Find div D at P (5,p/2,1) if D = r sin? a? + 3r² cos f af [04]
(c) State Ampere's circuit law and obtain magnetic field intensity due to infinite long straight conductor carrying current I using Ampere's Circuital law. [07]
OR
Q.3
--- Content provided by FirstRanker.com ---
(a) State and Explain various types of charge distribution with mathematical equation. [03]
(b) Derive the equation of continuity equation in integral and differential form. [04]
(c) State and prove divergence theorem. [07]
Q.4
(a) Explain briefly about lossless propagation of sinusoidal voltages. [03]
--- Content provided by FirstRanker.com ---
(b) Define dielectric strength and list three properties of dielectric material. [04]
(c) Write in details about techniques of controlling EMI. [07]
OR
Q.4
(a) List any three effects of EMI. [03]
--- Content provided by FirstRanker.com ---
(b) Derive the capacitance of Co-axial cable. [04]
(c) With the help of equivalent circuit derive the general wave equations for the transmission line. [07]
Q.5
(a) Derive the expression for the force between two differential current elements. [03]
(b) Write Maxwell’s equations in point form and integral form [04]
--- Content provided by FirstRanker.com ---
(c) State and prove Uniqueness theorem. [07]
OR
Q.5
(a) Derive Poisson's and Laplace's Equations. [03]
(b) State and explain Faraday's law for statically induced emf with derivation. [04]
--- Content provided by FirstRanker.com ---
(c) Explain magnetic boundary conditions for normal component and tangential component. [07]
--- Content provided by FirstRanker.com ---
This download link is referred from the post: GTU BE 2020 Summer Question Papers || Gujarat Technological University