24 pts. Phase and group velocity of a plasma. The permittivity ε of a plasma (ionized gas) is a f...
24 pts. Phase and group velocity of a plasma. The permittivity ε of a plasma (ionized gas) is a function of frequency given by: I. Eo where co is radian frequency and o the "plasma frequency", which is assumed to be a constant related to the properties of the ionized gas. (a) 6 pts. Given the relation above, write an expression for the phase velocity in a plasma. (Assume μ-,-1). (b) 2 pts. Write an expression for the magnitude of...
4.42. Ion waves are generated in a gas-discharge plasma in a mixture of helium gases. The plasma has the following constituents: (a) Electrons of density no and temperature KTe (b) Argon ions of density nA, mass Ma, charge + Ze, and temperatureC: and (c) He ions of density ng, mass MH, charge+e, and temperature 0 Derive an expression for the phase velocity of the waves using a linearized one-dimensional theory with the plasma approximation and the Boltzmann relation for electrons
EM wavelength in water 1. At frequency w = 10 GHz, liquid water has a permittivity e = 1 i€2, With ei 80eo, 15€0, and a permeability u= Ho E2 (a) Starting from the Maxwell equations, show that the wave equation for EM waves in water, is given by VE(r, t) eHo2Er, t) (b) Show that the wave E(r, t) = żEg exp [i (kx - wt)] is a solution to the wave equation with k kR+ik, complex and w...
1.Vp and Vg are the phase velocity and group velocity, respectively, of the de Broglie wave for an electron moving with the velocity V, and C is the velocity of light in free space. Which of the following is incorrect? (a) Vp> Vg (b) Vp>C (c) Vg<C (d) Vg=V (e) Vp=V 2.An atomic force microscope (AFM) probe is essentially a cantilever with a nanosized tip at the free end. One scan mode of AFM is to drive the probe as...
please answer all pre-lab questions 1 through 5. THANK YOU!!! this is the manual to give you some background. the pre-lab questions.. the pre-lab sheet. Lab Manual Lab 10: String Waves & Resonance Before the lab, read the theory in Sections 1-3 and answer questions on Pre-lab Submit your Pre-lab at the beginning of the lab. During the lab, read Section 4 and follow the procedure to do the experiment. You will record data sets, perform analyses, answer questions, and...