JAWAHARLAL NEHRU TECHNOLOGICAL UNIVERSITY HYDERABAD
JAWAHARLAL NEHRU TECHNOLOGICAL UNIVERSITY HYDERABAD B.Tech II Year ELECTROMAGNETIC FIELDS Previous Question Paper (February - 2024 - R15)
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
Define an electric dipole.
Answer
An electric dipole consists of two point charges of equal magnitude but opposite sign, denoted as +q and -q, separated by a very small distance d. The dipole is characterized by its dipole moment p = qd, which is a vector quantity directed from the negative charge to the positive charge.
Write the Laplace’s and Poisson’s equations.
Answer
Poisson's equation and Laplace's equation are derived from Gauss's Law in differential form, which states that the divergence of the electric field is equal to the volume charge density divided by the permittivity of free space, expressed as ∇ · E = ρ/ε. Substituting the relation E = -∇V, where V is the electric potential, yields the following equations:
Poisson's equation is given by:
Laplace's equation is a special case of Poisson's equation that applies in charge-free regions where ρ = 0, given by:
Define Dielectric Strength.
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Differentiate between conductors and insulators.
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State Biot-savats law.
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Write the applications of Ampere circuital law.
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Define mutual inductance.
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Define the magnetic dipole and magnetic dipole moment.
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What is displacement current?
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Write the Maxwell’s equations in integrals form for time varying fields.
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Part B
State and explain Coulomb’s law indicating clearly the units of quantities in the equation of force.
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Four concentrated charges Q1= 0.3 µC, Q2= 0.2 µC, Q3= -0.3 µC, Q4= 0.2 µC are located at the vertices of a plane rectangle. The length of rectangle is 5 cm and breadth of the rectangle is 2 cm. Find the magnitude and direction of resultant force on Q1?
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A fine straight line of charge of length 12 cm carries a uniformly distributed charge of 0.3×10⁻⁶ per cm length. Determine the magnitude and direction of the electric fields intensity at a point.
Located at a distance of 3 cm above the wire and displaced 3 cm to the right of and beyond one end.
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Located at the distance of 3 cm from one end, in alignment with but beyond the wire.
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Derive the expression for capacitance of a co-axial cable.
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Find the stored energy in static electric field system of four identical charges Q = 5 nC, at the corners 1 m on a side.
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Derive the conditions at a boundary between dielectrics.
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Obtain the expression for MFI due to a circular Current carrying wire by applying Biot-Savart’s Law.
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Write the Maxwell’s second equation and explain the important of this equation in magneto statistics.
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State and explain ampere’s circuital law.
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Obtain the relation between magnetic flux and magnetic flux density.
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Derive the expressions for energy stored and energy density in a magnetic field.
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Derive the expression for self-inductance of solenoid and toroid.
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Explain briefly about displacement current.
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Discuss about Statically and Dynamically induced EMFs.
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Explain Faraday’s laws of electromagnetic induction in both integral and Point form.
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Write the Maxwell’s second equation and explain the important of this equation in magneto statics.
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