QUESTION 1 Assume that sea water has = , = the frequency at which...
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QUESTION 1 Assume that sea water has μ = μ₁₂₁, ε = the frequency at which the conduction current density is 10 times the displacement current density in magnitude. (4) QUESTION 2 A conductor with cross-sectional area of 10 cm² carries a conduction current 9 0.2 sin sin 10't mA. Given that 0 = 81⁹ 0 = 20 S/m, determine 2.5×10 S/m and ε = r magnitude of the displacement current density. (5) QUESTION 3 Check whether the following fields are genuine EM fields, i.e., they satisfy Maxwell's equations. Assume that the fields exist in charge-free regions. (2) B ^ (1) A = 40 sin sin (wt + 10x) z = 6, calculate the 10 P (2) cos(wt - 20p) ^ (2) QUESTION 3 Check whether the following fields are genuine EM fields, i.e., they satisfy Maxwell's equations. Assume that the fields exist in charge-free regions. (1) A (2) B = = A 40 sin sin (wt + 10x) z 10 P cos(wt (3) C = (3p²cotop + = QUESTION 5 In a nonmagnetic medium, (2) A 20p) Φ coso P QUESTION 4 Show that in a source-free region U = 0, P₁ V (2) (8) (2) 0), Maxwell's equations can be reduced to two. Identify the two all-embracing equations. sinwt (3) (10't - 8x) y + 40 sin cos cos E = 50 cos cos Find the dielectric constant & and the r corresponding H. QUESTION 6 A car is travelling at 120 km/h. If the Earth's -5 2 magnetic field is 4. 3×10 Wb/m", find the induced voltage in the car bumper of length 1.6 m. Assume that the angle between the earth magnetic field and the normal to the car is 65⁰. (4) QUESTION 7 An EM wave propagating in a certain medium is described by E = 25 sin sin (2πx10°t - 6x) z V/m 1. Determine the direction of propagation of the wave. (1) 2. Compute the period T, the wavelength A and the velocity v. (3) TTT 3. Sketch the wave at t = 0, 8' 4' 2 (4) QUESTION 8 Show that in a linear homogeneous, isotropic source-free region, both E and H_must S S satisfy the wave equation 2 V²A + Y²A₂ S S A = 0 2 2 where y = w uε - jwμo and A = E or H jouo S S S (12) TOTAL: 50 QUESTION 1 Assume that sea water has μ = μ₁₂₁, ε = the frequency at which the conduction current density is 10 times the displacement current density in magnitude. (4) QUESTION 2 A conductor with cross-sectional area of 10 cm² carries a conduction current 9 0.2 sin sin 10't mA. Given that 0 = 81⁹ 0 = 20 S/m, determine 2.5×10 S/m and ε = r magnitude of the displacement current density. (5) QUESTION 3 Check whether the following fields are genuine EM fields, i.e., they satisfy Maxwell's equations. Assume that the fields exist in charge-free regions. (2) B ^ (1) A = 40 sin sin (wt + 10x) z = 6, calculate the 10 P (2) cos(wt - 20p) ^ (2) QUESTION 3 Check whether the following fields are genuine EM fields, i.e., they satisfy Maxwell's equations. Assume that the fields exist in charge-free regions. (1) A (2) B = = A 40 sin sin (wt + 10x) z 10 P cos(wt (3) C = (3p²cotop + = QUESTION 5 In a nonmagnetic medium, (2) A 20p) Φ coso P QUESTION 4 Show that in a source-free region U = 0, P₁ V (2) (8) (2) 0), Maxwell's equations can be reduced to two. Identify the two all-embracing equations. sinwt (3) (10't - 8x) y + 40 sin cos cos E = 50 cos cos Find the dielectric constant & and the r corresponding H. QUESTION 6 A car is travelling at 120 km/h. If the Earth's -5 2 magnetic field is 4. 3×10 Wb/m", find the induced voltage in the car bumper of length 1.6 m. Assume that the angle between the earth magnetic field and the normal to the car is 65⁰. (4) QUESTION 7 An EM wave propagating in a certain medium is described by E = 25 sin sin (2πx10°t - 6x) z V/m 1. Determine the direction of propagation of the wave. (1) 2. Compute the period T, the wavelength A and the velocity v. (3) TTT 3. Sketch the wave at t = 0, 8' 4' 2 (4) QUESTION 8 Show that in a linear homogeneous, isotropic source-free region, both E and H_must S S satisfy the wave equation 2 V²A + Y²A₂ S S A = 0 2 2 where y = w uε - jwμo and A = E or H jouo S S S (12) TOTAL: 50
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Related Book For
Probability & Statistics for Engineers & Scientists
ISBN: 978-0130415295
7th Edition
Authors: Ronald E. Walpole, Raymond H. Myers, Sharon L. Myers, Keying
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