Photons (Homework 8, Physics 323)
3. A photon has energy 0.2 GeV with velocity in the x-direction. A second photon with energy 0.1 GeV has velocity in the y-direction. a. What’s the total energy of… Click here to read more
3. A photon has energy 0.2 GeV with velocity in the x-direction. A second photon with energy 0.1 GeV has velocity in the y-direction. a. What’s the total energy of… Click here to read more
The energy of an electron is twice its rest mass (rest energy). a. Find the electron’s boost factor $γ$ and the velocity factor $β$. b. Find the electron’s velocity factor… Click here to read more
1. In an accelerator, electrons and positrons collide head-on with each other at an interaction point. The particles have speed 0.6 c. Suppose the annihilation products consist solely of photons…. Click here to read more
3. Find the fields, the charge density and the current density corresponding to $V(\overrightarrow{r},t)=0$ and $A(\overrightarrow{r},t)=\frac{1}{4\pi\epsilon0}*\frac{e(t0-t)}{r^2}*\overrightarrow{r0}$ where $e$ and$t0$ are constants. The potentials are: $V(r ⃗,t)=0$ and $A ⃗(r ⃗,t)=1/(4πϵ_0… Click here to read more
2. Work out the theory of TM modes for a rectangular waveguide. Find the maximum frequencies and the phase and group velocities. For TM modes the component of the magnetic… Click here to read more
1. Rectangular waveguide has dimensions 2 cm by 1 cm. With the frequency of 20 GHz,What TE modes can propagate in this waveguide? $a=2*10^{-2}$ m and $b=10^{-2}$ mThe possible TE… Click here to read more
You are given a wire along the $z$ axis, of radius $a$. For the magnetic field $B=B0(frac {y+a}{a})hat x$, the current density is $J=J0(frac{a-s}{a})hat z$.a. Determine the current in the… Click here to read more
Optical Detectors Optical detectors are devices used to detect the electromagnetic radiation near of or from the visible spectrum. The large majority of optical detectors are solid state devices but… Click here to read more
2. Last quarter we considered a “leaky” spherical capacitor of inner conducting-shell radius r1 and outer conducting-shell radius r2. The dielectric between the two shells is only slightly conducting with… Click here to read more
Solar cells are semiconductor structures made from a p-n junction with wide area that absorbs light and deliver electricity. They are made usually of Silicon, and they are engineered in… Click here to read more
In a photoelectric effect electrons of kinetic energy 2 eV are ejected from a material having a work function of 3.2 eV.a) What is the frequency of the photons? a)… Click here to read more
There is a beam of protons of $5.0 eV$ on a barrier of potential energy of $6.0 eV$ height and $0.62 nm$ thickness. The equivalent current of the beam is… Click here to read more
3. Suppose you heated a liter of helium liquid initially at 0.1°K by 4°K. Further suppose the charge-to-mass ratio e/m is unchanged during the heating (that is, e/m remains e/m0).a…. Click here to read more
2. (simple) A 20 year old captain of a spaceship moving at constant velocity β=1-0.002 passes near Earth. After one year of spaceship time, the captain sends a message back… Click here to read more
1. (simple problem) An isotropic emitter of 2 GeV total-energy protons (“isotropic” and “2 GeV” in the rest frame of the emitter) moves with velocity β=0.6 in a trajectory radially… Click here to read more
Fist part of this question is here4. Consider a cylindrical coaxial waveguide of inner radius r1 and outer radius r2. The space between conductors is vacuum. b. Find the time-average… Click here to read more
4. Consider a cylindrical coaxial waveguide of inner radius r1 and outer radius r2. The space between conductors is vacuum. a. Suppose you apply a sinusoidal voltage of amplitude V0… Click here to read more
3. In the last homework you found the free-space ratio of magnitude of the transverse components of E and H. Repeat this for the rectangular waveguide TE10 example Griffiths 9.5.2…. Click here to read more
** 4. Consider the retarded-time charge density ρ(r’, t_r) appearing in the retarded potential Griffiths 10.26. Does the volume integral $∫∫∫ ρ (r’, t_r )d^3x$ represent the total charge of… Click here to read more
3. Consider again the rectangular resonator with sides of length 1 cm, 2 cm and 3 cm.a. How many modes are there in the wavelength interval 4 / 5 cm… Click here to read more