BSc Physics SEM V ATKT May 2018-19 ATKT PHYSICS ELECTRODYNAMICS Question Paper - Mumbai University | munotes

Questions asked in this paper

• (2) Figures to the right indicate full marks

1. Q3 Electronic charge = 1.6 x
2. Q1 Attempt any
   • (a) A point charge ‘q’ is held at a distance‘d’ above an infinite grounded 10 conducting plane. Determine the potential in free space above the plane and determine the total induced charge on the plane
   • (b) Derive Gauss’s law in free space in integral and differential form. 10 Find the electric field inside a uniformly charged sphere having charge
   • (c) State and prove First and Second Uniqueness theorems. 10
   • (a) Derive an expression for potential due to a polarized object in terms of bound charges. Show = and
   • (b) Obtain an expression for the torque experienced by an electric dipole in 10 Show that the energy of an ideal dipole p in an electric field E is given by
   • (c) Derive the expressions for divergence and curl of magnetic field B of 10
3. Q3 Attempt any T wo:
   • (a) Derive an expression for energy stored in magnetic fields. 10
   • (b) Obtain the boundary conditions for the fields: Electric field E, Electric 10 Displacement D, Magnetic field B and auxiliary field H
   • (c) State Maxwell’s equations in free space. Derive the Maxwell’s equations in 10
4. Q4 Attempt any Two:
   • (a) A plane wave is incident normally on the interface of two non conducting 10 media. Write the incident, transmitted and reflected field vectors. Apply boundary conditions and derive the expressions for reflection and
   • (b) Incase of plane monochromatic wave show that the contribution towards the — 10 energy density from magnetic and electric fields are equal. Obtain the expression for average values for energy density, Poynting vector, and momentum density in case of plane monochromatic wave
   • (c) State and prove Poynting’s theorem. Get the differential version of — 10 Poynting’s theorem and compare it with continuity equation
5. Q5 Attempt any Four:
   • (i) If the potential is a function of only position vector r, V(r), then solve —
   • (ii) Calculate the electric field for an electrostatic system having potential Where k and a are constants meter. Calculate the magnetic field inside and outside the solenoid
   • (iv) Determine if any of the following be magnetostatic field:
   • (ii) B = + +
   • (v) The magnetic susceptibility of a linear sample of Tungsten is 05 7.8 x If auxiliary field (H) of 75,000 Ampere.turns/m is applied along the z-axis, find the magnetization M and the magnetic field B in
   • (vi) parallel plate capacitor is immersed in a sea water with permittivity 05 = permeability = and resistivity p = The capacitor is driven by the voltage Vycos(27vt) and frequency 4 x What is the ratio of conduction current to displacement
   • (vii) the Wave equation from Maxwell’s equations. 05 A 3.14 Watt LASER illuminates a spot of radius 0.1 cm .Find the 05 value of Poynting vector at the spot

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