
Given that, h = sino sin(wt – 5r)ag and B; = 20jaz + 10ej2mx/3 ay, a)...
4. Given that E = Em sin(wt - kz) ay, V/m. In free space, Find D, B and H.
(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...
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
1. Assume that the light of electric field B(x,t) Eo sin(kx - at) coming from the single slit can be divided into N identical waves with electric fields of the form E (x,t) E sin(kx - wt), E2(x, t) B sin (kx- c 2) E(x,t) = wt + - and the phase difference between the first and the Nth E sin kx- wt + waves is . The amplitudes of the electric fields have a relation Eo NE Assume that...
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...
(a) Write the relationship between the instantaneous time voltage i(t) = 1, cos(wt+p) and its phasor transform I. Write phasor transforms of the following voltages and currents. All answers should be in the form of AZB where A is a positive number A 20 and B is given in degrees over the range of -180° <B S 180°. Make sure that you include the units. Show all work to receive partial credit. (6) v(t) = VŽ cos(7t + 1/4 -...
5. (20 pts.) Given: sin a = 3/5 and sin B = 5/13. Where a is in Quadrant II and B is in Quadrant I. Determine the following and report all numerical answers in exact form. a. (02 pts.) Construct both b. (03 pts.) cos a C. (03 pts.) cos Right Triangles d. (02 pts.) sin(a + b) e. (02 pts.) cos(a + b) f. (02 pts.) tan(a + b) g. (02 pts.) sin(a - b) h. (02 pts.) cos(a...
A particle moves so that its position vector is given by r -coswt i+sin wt j where w is constant a. Show that the velocityof the particle is perpendicular tor . b. Find the magnitude of acceleration in the direction of 2-h C. Show that dt
9.45 Determine the phasor forms of the following instantaneous vector fields: (a) H =-10cos(10°t + /3)a 4cos(4y)cos(10t- 2x)a (b) E (c) D 5sin(10t /3)a - 8cos(104t /4)a, =
9.45 Determine the phasor forms of the following instantaneous vector fields: (a) H =-10cos(10°t + /3)a 4cos(4y)cos(10t- 2x)a (b) E (c) D 5sin(10t /3)a - 8cos(104t /4)a, =
The figures described by the tip of the eleetrie veetor with time for different plane waves on one
of its wavefront surfaces are shown in igure 1. Note that the last value of the instantaneous
field is highlighted by their components on X and Y axis.
Polarization I
Polarization Il
Polarization III
Polarization IV
Figure 1: Polarizaciones.Figure 1: Polarizaciones.
Indicate (explaining your reasonimg) to what hgure (1, 11, I1l, IV), if any, corresponds each
one of the following fields given...