JAWAHARLAL NEHRU TECHNOLOGICAL UNIVERSITY HYDERABAD
JAWAHARLAL NEHRU TECHNOLOGICAL UNIVERSITY HYDERABAD B.Tech II Year ELECTROMAGNETIC FIELDS Previous Question Paper (September/October - 2023 - R16)
Note: i) Question paper consists of Part A, Part B. ii) Part A is compulsory, which carries 25 marks. In Part A, answer all questions. iii) In Part B, Answer any one question from each unit. Each question carries 10 marks and may have a, b as sub questions.
PART - A
What are the applications of Laplace’s and Poison’s equations?
Answer
Laplace’s equation is used to determine the electrostatic potential in charge-free regions, while Poisson’s equation is used to find the potential in regions containing a known charge distribution.
What is a potential function? Write the properties of potential function.
Answer
A potential function is a scalar field whose gradient gives the electric field intensity, defined as V = -∫ E · dl. Its properties include: it is a single-valued function, it satisfies Laplace’s or Poisson’s equation, and the electric field is always perpendicular to equipotential surfaces.
Sate equation of continuity in electric fields and explain it importance.
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State the boundary conditions between two dielectrics.
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State the point form of Ampere’s circuital law.
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State and briefly explain Biot-Savart’s law.
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What are the properties of vector magnetic potential?
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Two long parallel conductors carrying currents 100 A and 150 A respectively. If the conductors are separated by 20 mm. Find the force/meter length of each conductor, if the current flow is in opposite direction?
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Write differences between statically and dynamically induced EMFs.
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A conducting circular loop of radius 20 cm lies in the z = 0 plane in a magnetic field
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PART - B
Show that electric filed intensity at any point inside a hollow charged spherical conductor is zero.
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Derive an expression for torque due to a dipole that is present in an electric field.
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Find the expression for the field component at a far point due to a dipole.
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Find the work done in moving a charge of 2 coulombs from (2, 0, 0) m to (0, 2, 0) along a straight-line path joining the two points, if electric field is
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Derive an expression for capacitance of a parallel plate capacitor having two dielectric media between the plates with relative permittivity εr1 and εr2.
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Derive the expression for energy density in electrostatic field.
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Derive the boundary conditions between a conductor and a dielectric.
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Find the capacitance of a parallel plate capacitor, if area of plates is 1.5 m^2, distance between plates is 2 mm, potential gradient is 10^5 V/m, and charge density on the plates is 2.5 μC/m^2.
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Derive the expression for magnetic field intensity at the center of a circular wire.
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A filamentary current of 15 A 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 to find H at P (0, 0, 1)?
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A conductor in the form of regular polygon of ‘n’ sides inscribed in a circle of radius ‘R’. Show that the expression for magnetic flux density
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Derive the expression for magnetic field produced by magnetic dipole.
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Derive the Neumann’s formulae for the calculation of self and mutual inductances.
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Explain the vector Poisson’s equation for steady magnetic field.
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A point charge of value -40 nC is moving with a velocity of 6000 km/sec in a direction specified by the unit vector
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State and explain Maxwell’s equations in integral and point form for general time-varying fields.
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A parallel plate capacitor with plate area of 5 cm^2 and separation of 3 mm has a voltage
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State and explain Faraday’s laws of electromagnetic induction with its integral and point forms.
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What is the displacement current? Find the displacement current density within a parallel plate capacitor having a dielectric constant of 10, area of plates of 0.01 m^2, distance of separation of plate of 0.05 mm and capacitor voltage of
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