Consider a point source emitting spherical waves equally in all directions. The amplitude of the wave varies inversely with r, the distance from the point source. The energy flux vary like: O 1/r^2 O Is independent of r Or O r^2 O 1/r O1/r^3

1. A plane wave in air is incident normally upon the surface of a lossless, nonmagnetic dielectric medium with relative electrical permittivity of 25 at z=0. Incident E field has an amplitude of 10 V/m polarized in +x direction and is of frequency 1 Ghz. Give the total E-field Phasor expression in air. 2. For the problem (1), determine the average power density of the reflected wave, and that of the transmitted wave. 3. Define and explain standing wave ratio. (Give a verbal description and the associated expressions) 4. For the problem (1), sketch the E-field wave pattern (Amplitude versus distance from the boundary) in air medium, indicating all critical vales and compute the standing wave ratio in the medium.

A sample of 1H in the equilibrium condition in a static magnetic field BO is excited by a short circularly polarized RF pulse. The RF pulse is a magnetic field in the transverse plane B₁(t) = B₁(t)e-i²πvot G₂ where vo is the Larmor frequency of the sample. The envelope of the RF pulse is a triangle function with parameter T: (1-7), 0≤t≤2T otherwise B₁ (t)= = { 0, (a) Find the tip angle of the magnetization vector as a function of t for 0 ≤ t ≤ 2T. (b) What is the value of T to make B1(t) a π/2 pulse?

An argon gas laser produces a cylindrical beam of light having a cross sectional area A = 4 x 10-6 m². The average power of the beam is P. It is found that the average energy stored in 3 m length of the beam is 30 nJ. What is P? (1 nj = 10-9 J) Hig 30 nW 3 W 6 W

An electric field in a vacuum is determined to be polarized in the +y-direction. It has a peak of 250 μV/m at z = 0, and the next peak is at z = 5 cm. Determine phase velocity, propagation constant, wavelength, period, frequency, and radial frequency for this wave and write a complete function for e(z,t). Complete Solution please

A 1000 W carbon-dioxide laser emits light with a wavelength of 10μm into a 3.0-mm-diameter laser beam. What force does the laser beam exert on a completely absorbing target?

Light with an intensity of 10−10W/m2 is shone perpendicular to the surface a metal that has one free electron per atom. Distance between atoms approx 2, 6A˚. Based on the notion of light as a wave and the assumption that light evenly distributed over the entire metal surface, (a) how much energy each electrons per second? (b) if the electron binding energy is 4.7eV , how long does the electron collect energy to escape the metal surface?

A housing attached to a microprocessor uses radiator fins to get rid of excess heat. If the largest amount of radiation emitted by the fins has a frequency of 186.20 THz, what is the associated wavelength? m