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JNTU B.Tech II ELECTROMAGNETIC FIELDS Previous Question Paper (April/May - 2018 - R16)

B.Tech | II | I | R16 | April/May - 2018

Answer PaperPaper Code: 133APMaximum Marks: 75Time: 3 Hours

Note: This question paper contains two parts A and B. Part A is compulsory which carries 25 marks. Answer all questions in Part A. Part B consists of 5 Units. Answer any one full question from each unit.

Part A

125 marks
a
Define electric field intensity and electric potential and write the relationship between them.
2 marks

Answer

Electric field intensity (E) is the force experienced by a unit positive test charge placed at a point in an electric field. Electric potential (V) is the work done in moving a unit positive charge from infinity to a specific point against the electric field. The relationship is given by E = -∇V, meaning the electric field is the negative gradient of the electric potential.

b
What is meant by boundary condition? How they are useful? Explain.
3 marks

Answer

Boundary conditions are the set of mathematical requirements that describe the behavior of electric and magnetic fields at the interface between two different media. They are useful because they allow us to determine how fields change or remain continuous when crossing from one material to another, enabling the solution of complex electromagnetic problems by matching field components at the boundary.

c
Define polarization. Is polarization is present in conductors.
2 marks

Answer

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d
State properties of conductor and dielectric materials.
3 marks

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e
Explain the concept of non existence of isolated magnetic pole.
2 marks

Answer

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f
Write the expression for Lorentz force equation and write its significance.
3 marks

Answer

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g
What is a magnetic dipole? How it is differ from electric dipole?
2 marks

Answer

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h
Write the expressions for Force on a straight and a long current carrying conductor in a magnetic field when the current in the conductors is in same direction and opposite directions.
3 marks

Answer

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i
Write the integral and point forms of Faraday’s laws.
2 marks

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j
Define Poynting vector.
3 marks

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Part B

210 marks
a
Determine the electric field intensity due to infinite line charge, at a point perpendicular to its plane and at a given distance from the line charge from first principles.
5 marks

Answer

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b
Find the electric field at distance z above the center of a flat circular disc of radius r, which carries a uniform surface charge.
5 marks

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OR
310 marks
a
Derive the Relationship between electric field and electric potential.
5 marks

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b
A Charge of -0.3 μC is located at A(25, -30, 15) cm and a second charge of 0.5 μC is at B(-10, 8, 12) cm. Find E at (i) the origin (ii) P(15, 20, 50) cm.
5 marks

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410 marks
a
Explain different types of polarization.
5 marks

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b
Find the maximum charge that can be held on the isolated sphere 2m diameter, the sphere being in air with dielectric strength 40 kV/cm. What would be the maximum charge if this sphere were in oil of εr = 3.5 and dielectric strength of 75 kV/cm.
5 marks

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OR
510 marks
a
What is meant by electric dipole? Derive the expression for electric field intensity due to electric dipole.
5 marks

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b
Two dipoles with dipole moments -5 az nC/m and 9 az nC/m are located at points (0, 0, -2) and (0, 0, 3) respectively. Find the potential at the origin.
5 marks

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610 marks
a
A filamentary current of 15A is directed in from infinity to the origin on the positive x axis and then back out to infinity along the position y axis. Use the Biot-Savart’s law of find H at P (0, 0, 1)?
5 marks

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b
Find the magnetic field intensity at centre of a square of sides equal to 5m and carrying a current equal to 10 A.
5 marks

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OR
710 marks
a
State Ampere’s circuital law and explain any two applications of Ampere’s Circuital law.
5 marks

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b
Obtain the expression for magnetic field intensity due to infinite long straight carrying a steady current I.
5 marks

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810 marks
a
Discuss about Torque on a current loop placed in a magnetic field.
5 marks

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b
A charged particle has mass 2 kg and charge 3 C. it starts at point (1, -2, 0) with velocity 4ax + 3az m/s in an electric field 12 ax + 10 ay V/m. At time t = 1s, determine: i) The acceleration of the particle ii) Its velocity.
5 marks

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OR
910 marks
a
Two infinitely long parallel conductors are separated by a distance d. Find the force per unit length exerted by one of the conductor on the other if the currents in the two conductors are I1 and I2.
5 marks

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b
Two parallel circular loops of radii 10 m and 2 m, are coaxially located and carry currents 20A and 5 A respectively. Find the force between the loops if the axial distance between the centers of the loops is (i) 30 m (ii) 40 m.
5 marks

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1010 marks
a
State the Poynting Theorem and derive the necessary expressions.
5 marks

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b
Explain the concept of displacement current and obtain an expression for the Displacement current density.
5 marks

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OR
1110 marks
a
Explain (i) Conduction Current. (ii) Displacement current.
5 marks

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b
Derive the Maxwell’s four equations for time varying fields.
5 marks

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