B.TECH - Semester 5 applied electro magnetic theory Question Paper 2021 (dec)
Practice authentic previous year university questions for better exam preparation.
Sample Questions
- Slate and prove Ampere's law.
- Transform the given veclor to cylindrical coordinates $A=\frac{x a_{x}+y a_{y}}{x^{2}+y^{2}}$. 3 Derive the expression of D and E due lo a spherical charge distribution of volume charge density $\rho, \mathrm{C} / \mathrm{m}^{3}$.
- Derive the expression for energy stored in an electric field.
- If the electric field of a plane wave is $E_{\mid x, 1!}=3 \cos \left(\omega t-k z+25^{\circ}\right) a_{\gamma}-4 \sin \left(\omega t-k z+50^{\circ}\right) a_{y}$. Find the polarization slate of the wave.
- Deline VSWR and reflection coeflicient.
- An air line has a characterislic impedance of $70 \Omega$ and phase conslant of $3 \mathrm{rad} / \mathrm{m}$ al 100 MHz . Calculate the inductance per metre of the line.
- Examine whether the following modes propagate inside an air filled reclangular wave guide of dimensions $7.21 \mathrm{~cm} \times 3.4 \mathrm{~cm}$ operating at 5 GHz . (a) $T E_{D I}$
- Examine whether the following modes propagate inside an air filled reclangular wave guide of dimensions $7.21 \mathrm{~cm} \times 3.4 \mathrm{~cm}$ operating at 5 GHz . (b) $T M_{11}$.
- Wrile a shorl nole on dominant mode in reclangular waveguide.
- Describe Brewster angle. $$ \{10 \times 4=40 \text { Marks }\} $$ Answer any two queslions from each Module
- (a) Derive the expression for capacilance and induclance of two wire transmission line.
- (b) Three posilive charges $q, 2 q$ and $3 q$ are placed at the comers of an equilateral triangle. If the length of each side of the linangle is $d$ find the magnilude and direction of the electric field intensily al the point bisecting the line betw...
- (a) Derive the relation between E and V .
- (b) State and explain Gauss's law. Using Gauss's law derive the expression for electric field around two charged concentric spherical shells.
- Derive Maxwell's equations from fundamental laws.
- Explain the propagation of electromagnetic waves in a parlially conducting media and a perfect dielectric.
- (a) Derive the boundary conditions for an electric field at dielectric-dielectric inlerrace and conductor dielectric inlerface.
- (b) $x<0$ defines region 1 and $x>0$ defines region 2. Region 1 is characterized by $\mu_{r}=3$ and region 2 characlerized by $\mu_{r}=5$. If the magnelio lield in segion 1 is given by $H_{1}=4 a_{x}+1.5 a_{y}-3 a_{x}, \mathrm{~A} / \mathrm{m}$, Find...
- (a) Draw and explain the general equivalent circuil of a transmission line,
- (b) Derive the transmission line equation.
- (a) Derive the expression for inpul impedance of a fransmission line when connecled with a load.
- (b) A lelephane line lias $\mathrm{K}=30 \Omega 1 \mathrm{~km}, \mathrm{~L}=100 \mathrm{mH} / \mathrm{km}, \mathrm{G}=0$ and $\mathrm{C}=20 \mu \mathrm{Fikm}, \mathrm{Al} \mathrm{I}=1 \mathrm{kHz}$ obtain
- (i) characteristic impedance and (ii) propagation conslant of the line 1B. A losstess transmission line with $\mathrm{Z}_{0}=60 \Omega$ is 40 m long and operates at 3 MHz , The line is lemminated with $\mathrm{Z}_{\mathrm{L}}=60 \pm \mathrm{j} 40 \O...
- (a) reflection coeficicient
- (b) The slanding wave ralios and
- (c) the input impedance.
- Derive the electric liet and magnelic lield components of TE mode in a rectangular wave guide. Explain cut off frequency and dominanl mode. ( $6 \times 10=60$ Marks)