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1. Consider a Gaussian laser beam of wavelength 514.5 nm with a minimum spot size ?o= 2 mm located at z = 0 (a) At what distance will the beam waist become 1 cm? (b) What is the radius of curvature of the wavefront at this position? (c) Given that the power of the laser is 1 Watt, calculate the on axis laser intensity I and the amplitude of the electric field E at z = 0. 2. A Gaussian laser beam of wavelength 488 nm is measured to have a power of 10 Watt, with a minimum beam ?o= 2 mm waist located at z = 0 (a) At what distance will the beam waist become 4mm? (b) An aperture of diameter 2??z? is centrally placed in front of the laser. What fraction of the 10-Watt power is allowed to transmit through the aperture?
At the point you can check a point or two on the V-I curve and confirm that the plot is equivalent to the linear plot in Part 1. Describe a specific measured point on the curve and what it represents.
A perfect electric dipole is directed along the z-axis. Inconventional spherical polar coordinates, at what values of the"dangle angle" q does the electric field have no z-component
A student from electromechanical systems class planned to construct a transformer that will cause an actual load resistance of 98.5 ohms to appear as 172.8 ohms to an AC voltage source of 176 V rms.
The response of a LTI system to the input x[n] = (1/4)^n u[n] is y[n]=5(3/4)^n u[n]. A) Find the impluse response h[n] of the system. B) Find the output y[n] for the input x[n] =(1/3)^n u[n].
consider a communication channel corrupted by noise. let X bethe value of the transmitted signal and Y be the value of thereceived signal. assume that the conditional density of Y given(X=x) is Guassian, that is, fy/x(y/x)=1/√2πσ*σexp(-(y-x)squ..
y(t) + 0.2(dy(t)/dt) = x(t) a. Find y(t) if x(t) = 6(e^-2t)u(t) and y(0) = 3. b. In a. identify the zero-input and the zero initial condition part. c. In a, identify the systems-type and the input-type part.
A six pole, 400 V d.c. motor draws 110 A from the supply. The shunt field resistance is 200 Ohm and the armature resistance is 0.5 Ohm. The armature is wave wound with 600 conductors operates at a speed of 1200 rev/min when supplying full load.
Why is the input voltage into the diode in a full-wave rectifier not smooth but the input voltage into the diode in a half-wave rectifier smooth, graphically speaking
A)Design a high-pass filter with a cutoff frequency of 40 kHz. Use 0.01 uF capacitor and an appropriate resistor. B) Sketch and label the circuit. C) What is the gain of the filter at the cutoff frequency Give your answer both as ratio (Vout/Vin) ..
Someone needs to explain to me how in God's name can you get a value of 600 watts from 2 sources, one of value 400 watts and another of -600 watts
A coaxial line consists of inner and outer conductors made of copper and having radii of a = 0.65 mm and b = 2.75 mm. The space between the conductors is filled with polyethylene (er=2.25). Find the characteristic impedance Z0
consider a simple thermostat controller with three inputs and twooutputs. the inputs consist of two user-operated swutches(A,W) and one temperature sensonr T. T=1and T=0 mean the actualroom temp is above and below the desired value, respectively.
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