5. Calculate the polarization angles (y, χ) for the wave E(z,t)- f 3 cos(ωt-kz) + 93...
5. Calculate the polarization angles (y, χ) for the wave E(z,t)- f 3 cos(ωt-kz) + 93 cos(wt-k2+ 450) (V/m). Plot E(0, t) to show the polarization state. 5. Calculate the polarization angles (y, χ) for the wave E(z,t)- f 3 cos(ωt-kz) + 93 cos(wt-k2+ 450) (V/m). Plot E(0, t) to show the polarization state.
4. Plot the locus of E(0,t) for a plane wave with Ē (z,t) = î cos(wt+kz) +ŷ 1.3 sin(wt + kz) (V/m) Determine the polarization state from your plot. Determine the direction of propagation of the wave.
7.12 The electric field of an elliptically polarized plane wave is given by [-k 10 sin(cot-kz-60°) E(z, t) y 30 cos(ot - kz)] (V/m). Determine the following: (a) The polarization angles (y, x). (b) The direction of rotation. 7.12 The electric field of an elliptically polarized plane wave is given by [-k 10 sin(cot-kz-60°) E(z, t) y 30 cos(ot - kz)] (V/m). Determine the following: (a) The polarization angles (y, x). (b) The direction of rotation.
3. The electric field of an elliptically polarized plane wave is given by E(z, t)- [-8 12 sin(wt-kz-5800+ ỹ Determine the following (A) The polarization angles (y,x) 32 cos(wt-kz)] (V/m) (B) The direction of rotation 3. The electric field of an elliptically polarized plane wave is given by E(z, t)- [-8 12 sin(wt-kz-5800+ ỹ Determine the following (A) The polarization angles (y,x) 32 cos(wt-kz)] (V/m) (B) The direction of rotation
A wave defined by the expression E (z,t) = A cos(ot-kz) fills all space directions perpendicular to the z-axis in 3-dimensional space. A wave confined in the directions transverse to the direction of propagation can be constructed by superimposing such waves propagating in different directions. This problem is an illustration on how it can be done (a) Consider the space defined by the Cartesian coordinates x-y-z. Rotate the coordinates about the y-axis by an angle A to form a new...
4. a) The one dimensional wave equation for the variable y(z, t) can be written as: azz czacz where w is the angular frequency (rad/s), k is the wavenumber (rad/m) t is time (s). Show that y(z, t) = 12sin(wt + kz) - 24sin(wt - kz) is a valid solution. (15 marks) b) If a string is fixed at z = Om and at z = 2.4m, and its displacement when vibrating in its fundamental mode is given by: y(z,...
The electric field of a plane electromagnetic wave in vacuum is Ē = Ēo cos(kz – wt), [1] where Ēo = (3î + 4ỹ) Vm-1 (a) Write down the expression for the magnetic field of this wave. (b) Compute the Maxwell tensor of the wave and provide a physical interpretation of your results. (c) If the frequency of the waves is f = 2.5 x 10Hz what is the energy density in the waves at t= 0 and z= 2.0...
4) A string carries two sinusoidal waves given by fi(z,t) - A1 cos(kz - wt 37T 2(e,t)A2 cos(kz where Al = 1 mm and A2=3 mm. Calculate the amplitude A3 In mm, and the phase ò3 1n radians, of the superposition fi(z, t)+f2(z,t)fs2,t)A cos(kz wt63)
[132 2 2 3 4 17 marks] Question 4 A plane wave is travelling in a vacuum in the +z-direction with wavenumber k and angular frequency . It is linearly polarised in the x-direction, and has electric field given by E(t, z) Eo Cos(kz - wt)f This wave is normally incident on a perfectly electrically conducting, semi-infinite slab in the region z > 0 and the resulting field in vacuum (z < 0) is a superposition of the incident and...
3. [10 Marks] Find the work done by the force F(z, y)-(e 2019y 233 cos(sin(4y )) 2 + + 1)y,-r + e 2019r 233 sin χ -(2 along the cardioid r 3+3 sin 0, 0 (0, 2m 3. [10 Marks] Find the work done by the force F(z, y)-(e 2019y 233 cos(sin(4y )) 2 + + 1)y,-r + e 2019r 233 sin χ -(2 along the cardioid r 3+3 sin 0, 0 (0, 2m