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In antenna radiates in free space as, H = 5cos(wt - 4y)a, ere ß = 2...
(wt — 3:) фЛ/m 3. (5 points) In a source-free vacuum region: H COS (a) Express H in phasor form (b) Find the associated...
(wt — 3:) фЛ/m 3. (5 points) In a source-free vacuum region: H COS (a) Express H in phasor form (b) Find the associated E field in the complex time varying form and the phasor form (c) Determine w. (d) Calculate the time averaged Poynting vector. This is a real valued quantity.
(wt — 3:) фЛ/m 3. (5 points) In a source-free vacuum region: H COS (a) Express H in phasor form (b) Find the associated E field in the...
4. Given that E = Em sin(wt - kz) ay, V/m. In free space, Find D,...
4. Given that E = Em sin(wt - kz) ay, V/m. In free space, Find D, B and H.
April 26, 2006 Problem 1.5 A hypothetical isotropic antenna is radiating in free space. At a...
April 26, 2006 Problem 1.5 A hypothetical isotropic antenna is radiating in free space. At a distance of 100 m from the antenna, the total electric field (E) is measured to be 5 V/m. Find the power density Wrad- a) radiated Prad· Determine the b) power Trad]
1. Magnetic field in free space obeys the dependence i = 0.1(4ä, +38,) sin (wt -...
1. Magnetic field in free space obeys the dependence i = 0.1(4ä, +38,) sin (wt - 2.10%(-3x + 4y)) in the St units. A) What are the wave vector and the frequency w?: B)Show that this dependence is consistent with Maxwell equations for the plane wave; C) Use the phasor method and find the electric field of this wave.
9. (6 points) An antenna engineer is asked to design a X/2 dipole antenna to operate at 450 MHz. (a) Calculate the leng...
9. (6 points) An antenna engineer is asked to design a X/2 dipole antenna to operate at 450 MHz. (a) Calculate the length of the antenna if it is located in free space. (b) Calculate the magnetic field intensity, H, at a distance of 400km, polar position 0 = 30 degrees and current I = 2A (c) What value of the current I is needed for the total radiated power to equal 100 mW. (d) Determine the length of the...
8. (6 points) A Hertzian dipole antenna in free space has /= 0.02. The following are in far-field: (a) What value of cu...
8. (6 points) A Hertzian dipole antenna in free space has /= 0.02. The following are in far-field: (a) What value of current I is necessary to radiate a total power of 60 mW? (b) What is the ratio of the magnetic field intensity, H, at the polar angles 0 = 10 degrees and 80 degrees (c) What fraction of the total radiated power is contained in the region 0 < 60 degrees (d) What is the radiation resistance, Rrad?...
Problem 3 (20pts). Given 2 concentric loops in free space Mo = 410 x 10-7 (H/m),...
Problem 3 (20pts). Given 2 concentric loops in free space Mo = 410 x 10-7 (H/m), The magnetic field of a loop is B = ", assume B, is uniform inside all the loops. Rz=20052 and 1= sin(wt) A. Find: a) Self and Mutual Inductance due to 11. b) Current direction for 12 c) V and V2 I 12 V w R V2 II
Question 3 (20 Marks) The plane z 0 forms the boundary between free space (z> 0)...
Question 3 (20 Marks) The plane z 0 forms the boundary between free space (z> 0) and perfect conductor (z < 0). t 0 and H(0,0,0*) = H ( +2) cos at. (10 Marks) a. Find J, (0,0,0) at b. Find p,(0,00) at t-0 and D(0,0,0*) = E, cos at. (10 Marks)
Question 3 (20 Marks) The plane z 0 forms the boundary between free space (z> 0) and perfect conductor (z
8. In a lossless Eq, λ and H. dielectric for which η,:20π, μ.-1,and E(z,t) 94πcos(wt +2z)...
8. In a lossless Eq, λ and H. dielectric for which η,:20π, μ.-1,and E(z,t) 94πcos(wt +2z) a/m. Calculate 9. A plane wave in a lossless medium has H(z,t) 0.2 cos(ot-62)-y 2 sin(ot -6z) AV/m. Find a) The direction of wave propagating. b) εr and a. c) E(z,t). 10. The electric field component of an electromagnetic wave in free-space is given by E.z,t)Eocos(ay)sin wt -kx) V/rm (Hint: Use the identity 2 sin a cos b (sina+ b) +sin(a -b)) a) Find...
5) In free space, D 2ya,+4xya, - az mC/m2. Find the total charge stored in the...
5) In free space, D 2ya,+4xya, - az mC/m2. Find the total charge stored in the region 1 <x < 2,1<y< 2, -1<z<4.
(wt — 3:) фЛ/m 3. (5 points) In a source-free vacuum region: H COS (a) Express H in phasor form (b) Find the associated E field in the complex time varying form and the phasor form (c) Determine w. (d) Calculate the time averaged Poynting vector. This is a real valued quantity.
(wt — 3:) фЛ/m 3. (5 points) In a source-free vacuum region: H COS (a) Express H in phasor form (b) Find the associated E field in the...
4. Given that E = Em sin(wt - kz) ay, V/m. In free space, Find D, B and H.
April 26, 2006 Problem 1.5 A hypothetical isotropic antenna is radiating in free space. At a distance of 100 m from the antenna, the total electric field (E) is measured to be 5 V/m. Find the power density Wrad- a) radiated Prad· Determine the b) power Trad]
1. Magnetic field in free space obeys the dependence i = 0.1(4ä, +38,) sin (wt - 2.10%(-3x + 4y)) in the St units. A) What are the wave vector and the frequency w?: B)Show that this dependence is consistent with Maxwell equations for the plane wave; C) Use the phasor method and find the electric field of this wave.
9. (6 points) An antenna engineer is asked to design a X/2 dipole antenna to operate at 450 MHz. (a) Calculate the length of the antenna if it is located in free space. (b) Calculate the magnetic field intensity, H, at a distance of 400km, polar position 0 = 30 degrees and current I = 2A (c) What value of the current I is needed for the total radiated power to equal 100 mW. (d) Determine the length of the...
8. (6 points) A Hertzian dipole antenna in free space has /= 0.02. The following are in far-field: (a) What value of current I is necessary to radiate a total power of 60 mW? (b) What is the ratio of the magnetic field intensity, H, at the polar angles 0 = 10 degrees and 80 degrees (c) What fraction of the total radiated power is contained in the region 0 < 60 degrees (d) What is the radiation resistance, Rrad?...
Problem 3 (20pts). Given 2 concentric loops in free space Mo = 410 x 10-7 (H/m), The magnetic field of a loop is B = ", assume B, is uniform inside all the loops. Rz=20052 and 1= sin(wt) A. Find: a) Self and Mutual Inductance due to 11. b) Current direction for 12 c) V and V2 I 12 V w R V2 II
Question 3 (20 Marks) The plane z 0 forms the boundary between free space (z> 0) and perfect conductor (z < 0). t 0 and H(0,0,0*) = H ( +2) cos at. (10 Marks) a. Find J, (0,0,0) at b. Find p,(0,00) at t-0 and D(0,0,0*) = E, cos at. (10 Marks)
Question 3 (20 Marks) The plane z 0 forms the boundary between free space (z> 0) and perfect conductor (z
8. In a lossless Eq, λ and H. dielectric for which η,:20π, μ.-1,and E(z,t) 94πcos(wt +2z) a/m. Calculate 9. A plane wave in a lossless medium has H(z,t) 0.2 cos(ot-62)-y 2 sin(ot -6z) AV/m. Find a) The direction of wave propagating. b) εr and a. c) E(z,t). 10. The electric field component of an electromagnetic wave in free-space is given by E.z,t)Eocos(ay)sin wt -kx) V/rm (Hint: Use the identity 2 sin a cos b (sina+ b) +sin(a -b)) a) Find...
5) In free space, D 2ya,+4xya, - az mC/m2. Find the total charge stored in the region 1 <x < 2,1<y< 2, -1<z<4.
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