Engineering BE Electronics and Computer Science Sem 5 December 2018 2018 Engineering Electromagnetics Question Paper - Mumbai University | munotes
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Questions asked in this paper
- (4) Figures to the right indicate full marks
-
Q1 Attempt any FOUR
- (a) Starting with Maxwell’s equations derive the expression for the wave — equation for an electromagnetic wave propagating in a perfect dielectric 5
- (b) Derive the Poisson’s and Laplace’s equations. 5
- (c) Explain the Dirichlet-type, Neumann-type and boundary — 5
- (d) Explain the radiation intensity, directivity and directive gain of the 5
- (e) State and explain Coulomb’s law. Point charges ImC and -2mC are located at (2,3,-1)m (- 2,-1,4)m respectively. Calculate the electric force on a 10nC charge located at (0,3,1)m 5
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Q2 (a) Derive Maxwell’s equations in integral & Point form for time varying 10 marks
- (b) Define and explain skin depth. Derive the expression for the skin depth. Calculate the skin depth and the velocity of propagation for a uniform plane wave at a frequency of traveling in aluminum 10
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Q3 (a) Explain Poynting vector. Derive Poynting theorem and describe significance of each term 10 marks
- (b) the finite difference method to calculate the potentials at nodes 1 and 2 in the potential system shown in figure using iteration method and 10
- (a). Derive the expression for radiation resistance in far field region of 10
- (b) Find the directive gain and directivity if = 5
- (c) antenna has a field pattern given by E(@) = for Find the half power beamwidth and the first null beamwidth 5
- (a) Explain sky wave propagation. Calculate the skip distance for flat earth with MUF of 20 MHz if the (5) wave is reflected from a height of 200km where the maximum value of refractive index of the earth is 0.95 5
- (b) What is line of sight propagation? Obtain expression for range of line of sight for space wave propagation in terms of antenna’s transmitting and 10
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Q6 (a) A transmission line is lossless and 0.25m long. It is terminated load of at a frequency of The inductance and the capacitance of the line are 12.5uH/m and 5nF/m, respectively. Use Smith chart to find the reflection coefficient, the input impedance at the source
- (b) Find the characteristic impedance and. propagation constant of transmission line if R=4Q/m, L=6nH/m, and C=0.3pF/m, the operating frequency of the transmission line is
- (c) Derive the expression for the input impedance of a transmission line. 10
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