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B.TECH 3rd sem Field Theory paper 2016

UniversityVTU, Belgaum, Karnataka
CourseB.TECH
Semester3
SubjectField Theory
Year2016
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Heman Sharma
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Three point charges Q1 = -1 , Q2 = -2  and Q3 = -3  are placed at the corners of an equilateral triangle of side 1 m. Find the magnitude of the electric field intensity at the point bisecting the joining Q1 and Q2

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Derive an expression for the electric field intensity due to infinite line charge.

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Let = (2y2z - 8xy) + (4xyz - 4x) + (2xy -4z) Determine the total charge with in a volume of 10-14m located at P(1, -2, 3).

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Infinite number of charges each of Qnc are placed along x axis at x = 1, 2, 4, 8..........Find the electric potential and electric field intensity at a point x = 0 due to the all charges. 

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Find the work done in assembling four equal point charges of 1 c each on x and y axis at 3m and 4m respectively, 

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Derive the expression for a capacitance of a parallel plate capacitor.

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Explain Poisson's and Laplace's equations.

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Find  at P(3, 1, 2) for the field of two co-axial conducting cylinders V = 50 V at  = 2 m and V = 20 V at  = 3m.

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Using Poisson's equation obtain the expression for the potential in a p-n junction. 

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An infinite filament on the z-axis carries 20 mA in the  direction. Three uniform cylindrical sheets are also present, 400 mA/m at r = 1 cm, - 250 mA/m at r = 2 cm, 400 A/m at r = 3m. Calculate  r=0.5, 1.5 and 2.5 cm in cylindrical co-ordinates.

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If the vector magnetic potential at a point in a space is given as  wb/m, find'the following: (i)  (ii) J and show that  for the circular path with  = 1. 

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A conductor 4 m long lies along the y-axis with a current of 10.0 A in the  direction. Find the force on the conductor if the field in the region is  = 0.005   Tesla. 

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Discuss the boundary between two magnetic materials of different permeabilities.

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A solenoid with air core has 2000 tums and a length of 5000 mm. Core radius is 40 mm.Find its inductance.

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Find the frequency at which conduction current density and displacement current density are equal in a medium with and 

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Given-in free space. Find 

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Explain the concept of retarded potential. Derive the expressions for the same.

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The magnetic field intensity of uniform plane wave in air is 20 A/m in ây direction. The wave is propagating in the  direction at an angular frequency of 2x109 rad/sec. Find:

(i) Phase shift constant.

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The magnetic field intensity of uniform plane wave in air is 20 A/m in ây direction. The wave is propagating in the  direction at an angular frequency of 2x109 rad/sec. Find:

(i) Wavelength

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The magnetic field intensity of uniform plane wave in air is 20 A/m in ây direction. The wave is propagating in the  direction at an angular frequency of 2x109 rad/sec. Find:

(iii) Frequency

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The magnetic field intensity of uniform plane wave in air is 20 A/m in ây direction. The wave is propagating in the  direction at an angular frequency of 2x109 rad/sec. Find:

(iv) Amplitude of electric field intensity 

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Explain electromagnetic wave in Good conductor.

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The depth of penetration in a certain conducting medium is 0.1 m and the frequency of the electromagnetic wave is 1.0 MHz. Find the conductivity of the conducting medium.

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Derive the expression for transmission coefficient and reflection co-efficient.

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Define standing wave ratio. What value of S results is reflection coefficient equals 

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Given = 0.5,  - 100  ,  = 300  .  = 100 (V/m). Calculate values for the incident, reflected and transmitted waves. Also show that the average power is conserved. 

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