UNIT I ELECTROSTATIC FIELDS 1) Define electric potential and potential difference. 2) Name few applications of gauss law in electrostatics. 3) State point form of Ohm s Law. 4) State Divergence Theorem. 5) Write Poisson s equation and Laplace equation for a simple medium. 6) State Gauss Law. 7) Write and explain the Coulomb s law in vector form. 8) Define Electric flux. 9) Define equipotential surface. 10) Give the relation between electric field and potential. 11) Write the boundary conditions at the interface between two perfect dielectrics. 12) Define electric flux density. 13) State the application of Gauss law. 14) Define absolute potential. 15) What is Gaussian surface? What are the conditions to be satisfied in special Gaussian surface? 16) Draw the equipotential lines and electric field lines of a parallel plate capacitor. 17) Write the expression for parallel plate capacitor and spherical capacitance. 18) State Stoke Theorem. 19) Define curl of vector. 20) What is the practical significance of dielectric strength? 16 MARKS 1) Deduce an expression for the capacitance of a parallel plate capacitor having two dielectric media. 2) State and prove divergence theorem. 3) Derive electric field intensity at the given point due to line charge of infinite length. 4) (i) Derive Poisson s and Laplace equation.
(ii) Three concentrated charges of 0.25 µ C are located at the vertices of an equilateral triangle of 10 cm side. Find the magnitude and direction of the force on one charge due to other two charges. UNIT II STEADY MAGNETIC FIELDS 1) State Biot-Savart s law. 2) Define magnetic moment. 3) State Faraday s law for electromagnetic induction. 4) Define magnetic vector potential. 5) State Ampere s Circuit Law. 6) Draw the magnetic field pattern in and around a solenoid. 7) What is motional emf? 8) What is Lorentz law of force? 9) What is the expression for inductance of a toroid? 10) Distinguish scalar and Vector Magnetic Potential. 11) State Ohm s law for magnetic circuits. 12) A conductor of 1 m length is moved with a velocity of 100 m/sec. perpendicular to a field of 1 Tesla. What is the value of emf induced? 13) Define magnetic dipole moment. 14) Write down the magnetic boundary conditions. 15) Write the expression for the torque experienced by a current carrying loop, placed in magnetic field. 16) What is fringing effect? 17) Define Mutual inductance. 18) What is Reluctance? 19) State Law of conservation of Magnetic Flux. 20) Define Magnetic flux density. 16 MARK 1) Derive the Biot-Savart s law and Ampere-circuit law using the concept of magnetic vector potential.
2) i) Derive the magnetic boundary conditions. ii) Find the maximum torque on an 85 turn rectangular coil, 0.2 m by 0.3 m, carrying current of 2.0 A in a field B=6.5 T. 3) i) Find the self-inductance of a solenoid. ii) Obtain the expression for the energy stored in magnetic field and energy density. 4) State and explain Ampere s circuital law and show that the field strength at the end of a long solenoid is one half of that at the centre. UNIT III ELECTROMAGNETIC WAVES 1) What is displacement current? 2) Mention the properties of uniform plane wave. 3) State Maxwell s one and two equation. 4) Write down the point form of Maxwell s equation using Faraday s law. 5) Define Surface impedance. 6) Define Skin depth. 7) Define propagation constant. 8) State intrinsic impedance or characteristic impedance. 9) What is lossy dielectric medium? 10) Define polarization. 11) What is the velocity of electromagnetic wave in free space and in lossless dielectric? 12) State poynting theorem. 13) What is the significance of displacement current? 14) What is called skin effect? 15) Define a wave. 16) What is called attenuation constant? 17) Give the wave equation in free space. 18) Compare field theory with circuit theory. 19) Write the expression for Helmholtz equation. 20) What is Eddy current and Eddy current loss?. 16 MARK 1) i) Explain the wave propagation in good dielectric with necessary equation.
ii) Define depth of penetration. Derive its expression. 2) Determine the reflection coefficient of oblique incidence in perfect dielectric for parallel polarization. 3) Define Brewster angle and derive its expression. Also define loss tangent of a medium. 4) Derive and explain Maxwell s equation in point and integral form using Ampere s circuital law and Faraday s law. UNIT IV GUIDED WAVE AND RECTANGULAR WAVEGUIDES 1) What are the characteristics of TEM wave? 2) What are the dominant mode and degenerate mode in rectangular waveguide? 3) Give the equations for the propagation constant and wavelength for TEM waves between parallel planes. 4) Define propagation constant. 5) Compare TE and TM mode. 6) What are guided waves? Give examples. 7) What is principal wave? 8) Why are rectangular wave guides preferred over a circular waveguide? 9) Mention the application of waveguides. 10) Why TEM mode is not possible in rectangular waveguide? 11) What is an evanescent mode? 12) Define wave impedance. 13) Distinguish between TE and TM waves. 14) Define attenuation factor. 15) Define group velocity. 16) Mention the significance λ/4 lines. 17) Give the application that relate phase velocity, group velocity and free space velocity. 18) Why the TE10 wave is called as dominant wave in rectangular waveguide? 19) How the TE10 mode is launched or initiated in rectangular waveguide using probe? 20) Define characteristic impedance in waveguide.
16 MARKS 1) Explain the concept of transmission of TM waves and TEM waves between parallel plates. 2) Derive the field expression for TM wave propagation in rectangular waveguide stating the necessary assumptions. 3) Write brief note on excitation modes in rectangular waveguides. 4) i) Derive field component of the wave propagation between parallel plates ii) Derive the expression of wave impedance of TE, TM, and TEM wave between a pair of perfectly conducting planes. UNIT V CIRCULAR WAVE GUIDES, CAVITY RESONATORS AND WAVEGUIDE COMPONENTS 2MARKS 1) What are the advantages and application of circular waveguides? 2) Define Cavity resonator and give its applications. 3) How to design an air filled cubical cavity to have its dominant resonant frequency at 3 GHz? 4) What is the need for attenuator? 5) Mention the different types of guide termination. 6) What is circular waveguide? 7) Mention the application of circular waveguide. 8) What are the performance parameters of microwave resonator? 9) Define quality factor of a resonator. 10) What is resonator? 11) Why rectangular or circular cavities can be used as microwave resonator? 12) Define loaded and unloaded Q cavity resonator? 13) Define Bessel function. 14) Give the application of microwave resonator. 15) Write the expression for the resonant frequency of the rectangular cavity resonator. 16) Define resonant cavity. 17) When a medium is said to be free-space? 18) What is the dominant mode for circular resonator? 19) How the cavity resonator can be represented by RLC circuit?
20) Why transmission line resonator is not usually used as microwave resonator? 16 MARKS 1) Describe the principle and operation of rectangular cavity resonators with relevant expressions. 2) Discuss the propagation of TM waves in a circular waveguide with relevant expression for the field components. 3) i) Explain the field components of the TE waves in a rectangular cavity resonator with relevant expressions. ii) Calculate the cutoff wavelength, guide wave length and characteristic wave impedance of a circular wave guide with an internal diameter of 4 cm for a 10 GHz signal propagated in it in the TE11 mode. 4) Derive the Q-factor of a rectangular cavity resonator for TE mode.