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...
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...
3. 8p] Show that the force field F(x,y, z) sin y, x cos y + cos z, -y sin z) is conservative and use this fact to evaluate the work done by F in moving a particle with unit mass along the curve C with parametrization r(t (sin t, t, 2t), 0 <t<T/2. 4. 8p] A thin wire has the shape of a helix x = sin t, 0 < t < 27r. If the t, y = cos t,...
5. In a lossless nonmagnetic medium with er = 4, E(y,t) = 20 cos(108nt +By+)a, V/m Find the following: (a) Direction of propagation and the wave length , Speed of propagation of the wave and propagation constant, B, attenuation constant, (b) using the Maxwell's equation, find the magnetic field intensity H(y,t) (c) phase angle between the E and H fields.
Electromagnetic Waves 2 1 2 3 4 A plane monochromatic electromagnetic wave with wavelength 1 = 2.6 cm, propagates through a vacuum. Its magnetic field is described by B = (B,i+Byj) cos(kx + wt) where B, = 2.7 x 10-6 T, B, - 5.9 X 106T, and i-hat and j-hat are the unit vectors in the +x and +y directions, respectively. 1) What is f, the frequency of this wave? 0 GHz Submit 2) What is I, the intensity of...
5. Consider the function z) = x(T-x). Find the deflection u(z, y,t) of thesquare m em brane of side T and c2 ะไ for initial velocity 0 and initial deflection /(z,y) = F(x)F(v). 5. Consider the function z) = x(T-x). Find the deflection u(z, y,t) of thesquare m em brane of side T and c2 ะไ for initial velocity 0 and initial deflection /(z,y) = F(x)F(v).
Problem 5. Let F(r,y) (e-v-v sinzy) ?-(ze-s + z sin zyj (1) Show that F is a gradient field. (2) Find a potential function f for it (3) Use the potential function f to evaluate F-ds, where x is the path x(t) = (t,t2) for 0sts1. (NO credit for any other method.)