The wave vectok (k) of a travelling wave propagating along +xy plane is given below. If the magnitude of k is 5rad/m, angular frequency of the wave is 60rad/s, amplitude is 6 unit and value of the wave at origin is zero (u(x:0,y:0; t:0)=0) write a mathematical expression for this wave. ky K 30⁰ 0 |k|=5rad/m kx

A plane wave traveling in the +y-direction in a lossy medium (e, = 4. µ, = 1, o = 10 mhos/m) has E = 30 cos (10°r t+ a/4) a. V/m at y = 0. Find (a) E at y = 1 m, 1 = 2 ns (b) The distance traveled by the wave to have a phase shift of 10° (c) The distance traveled by the wave to have its amplitude reduced by 40%

A plane wave in air with an electric field amplitude of 20 V/m is incident normally upon the surface of a lossless, nonmagnetic medium with ϵ r = 25. Determine the following: (a) The reflection and transmission coefficients.

Plane wave. A special case of wave or field is the plane wave in physics. It is a type of physical quantity whose value is constant over any plane and is orthogonal to a fixed direction in space. The value of such field for any position x → in space and time t is given by, F (x →, t) = G (x →. n →, t) where n → = unit length vector

A uniform plane wave has a Ex0 = 100 V/m spreads in z direction in a dissipative material that has o = 20 S/m, ur = 1, Er= 50. if works at a frequency f = 300Mhz Find: wavelength and intrinsic impedance.

A 300 MHz uniform plane wave, traveling along the x-axis in the negative x direction, whose electric field is given by Ew = E. (ja, + 3a-) etike where Eo is a real constant, impinges upon a dipole antenna that is placed at the origin and whose electric field radiated toward the x-axis in the positive x direction is given by E. = Ea(a, + 2 aje-it where Ea is a real constant.

Q: A uniform plane wave in air is given by: E, = 50 sin (@-6x-82), then the wavelength of the wave is… A: Given a uniform plane wave in air, E→i=y^50 sinωt-6x-8z Q: -50-10 & Write & in time domain h Determine the average power density (S) carried by the wave…

A: Given, A plane wave propagate through a lossless medium with, Hz,t=4 cos 4×107t-βz Am εr=3μr=1 Q: X-rays with a wavelength of , =9.587pm are used in a Compton scattering experiment (i.e. the photons…