3 Asheitd transmissim line has TA 442.8 MH2 and 3.2 what is the wave length).? λ=...
06M.3 Suppose we prepare a beam of photons with wave- length λ and intensity I whose spin angular momentum vectors are aligned with their direction of motion, and we allow these photons to fall on a circular metal plate of mass M and radius R that is free to rotate around an axis per- pendicular to the plate and parallel to the beam of light. As the photons are absorbed by the metal plate, the plate will have to rotate...
2. A transverse wave with wavelength λ 2 m and frequency f 25 Hz propagates down a wire. A one meter section of the wire has a mass of 10 grams. Each period 1 Joule of kinetic energy is carried by the wave past the point marked C. What are (a) the tension on the wire and (b) the wave amplitude? Hint 1: How many wavelengths pass C in one period? Hint 2: Consider first the kinetic energy in small...
A thin rod, with charge per unit length λ has length L. What is the electric field, in unit vector notation, a distance d away from one of its ends, perpendicular to the axis of the rod? 8.
Saturation of absorption The 3s 3p resonance line of sodium has a wave- length of = 589 nm. (a) Sodium atoms in a magnetic trap form a spherical cloud of diameter 1 mm. The Doppler shift and the Zeeman effect of the field are both small compared to T. Calculate the number of atoms that gives a transmission of e-l = 0.37 for a weak resonant laser beam. (b) Determine the absorption of a beam with in- tensity I =...
2. Lumped versus distributed circuits (15%) (a) A transmission line of length 1 connects a load to a sinusoidal voltage source with an oscillation frequency of f. Assuming that the velocity of wave propagation in the line is c (that is, the speed of light in vacuum), for which of the following sit- uations can we model the transmission line as a wire (that is, use a lumped-element model) and where do we need a distributed model? (i) f =...
,50, the standing wave shown in Figure 7-30 is set up on a string, The string has length of s t and At time locity 50 ft/s. What are the frequencies of the first eight allowed normal modes on this string- a)25,50, 75, , . . , 17.5, 20.0 Hz b) 2.5,75, 12.5,... ,32.5, 375 Hz c) 5, 10, 15,,35, 40 Hz d) 5, 15, 25, .,65, 75 Hz e) 10, 20, 30, .,80 Hz lex wave shown at t-0...
1 INFINITE WIRE Consider an infinite line of charge with charge per unit length λ. Calculate the electric field a distance z away from the wire. Namely z is the distance to the closest point on the wire. We will calculate this electric field in two different ways. 1.1 20 POINTS Calculate it using Coulomb's Law. 1.2 15 POINTS Calculate it using Gauss' Law.
Given a 50 Ω lossless transmission line, find the length of the line so the input impedance at 3 GHz appears as a capacitor equal to 10 pF. Wave velocity on the line is 0.8c. (only one solution is necessary).
A wheel has a radius of 3.2 m. How far (path length) does a point on the circumference travel if the wheel is rotated through angles of 30°, 30 rad, and 30 rev, respectively?
1) Two parallel beams of light are brought together on a surface. Each beam has wave length h-500 nm and intensity 1 W/m at the surface. What is the resultant intensity for each of the following path lengths or phase differences between the beams? Phase or path length difference Intensity (W/m) 0 radians (phase) T/2 radians (phase) 60 degrees (phase) 3π radians (phase) 300 nm (path length) 1000 nm (path length) 5.5 λ (path length) 2) A wave of wavelength...