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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?
Design a counter whose count sequence is all prime numbers greater than 4 less than 55. Provide the excitation equations for the FlipFlops.
A n-type Si wafer is doped with Nd=1e15/cm^3, find the level of acceptor doping we need to convert the wafer from n-type to p-type, with a target hole density p=5e15/cm^3. also ni = 1e10/cm^3
Compute the first 10 samples of the step response for the nonrecursive difference equation: y(n) = x(n) -0.5x[n-1]-0.7x[n-2] Indentify which of the following filters are recursive and which are nonrecursive.
Three identical amps having Avoc = 25, Ri = 2kΩ and Ro = 3kΩ are cascaded. Determine theinput resistance, the open-circuit voltage gain, and the outputresistance of the cascade.
a series rlc circuit has a 4ohm resistor an inductor with an xl of 19.5 ohms and a capacitor with an xc of 12 ohms.
Sketch an sc unit cell with lattice constant a=4 angstroms,whose diatomic basis of atom A is located at the lattice sites, andwith atom B displaced by (a/2,0,0). ASsume that both atoms have thesame size and we have a clse packed structure
A d-c voltage Vo is applied att = 0 directly to the input terminals of a lossless air dielectric transmission line of length l. The line has a characteristice resistance Ro and is terminated in a load resistanceRL =2Ro.
design a Melay sequential circuit which investigates an input sequence x and which will produce an output of z=1 whether thetotal number of 0's in the sequence is odd,provided that thesequence 01 has occured at least once.
A motor with efficiency of 76% supplies 20 hp to a load. it's power factor is 0.6 (lagging). A voltage of 440 VAC (RMS), 60 hz is applied to the motor a) what is the real power applied to the motor in Watt
A shunt regulator utilizing a zener diode is biased on through a 100ohm resistor. Determine the change in the regulated output voltage for the two situations below a) VI changes +2.0 V, ILoad constant b) ILoad changes +100 mA, VI constan..
Assume that a receiver has a first amplifier stage with a 5K input resistance, a power gain of 300, an input audio signal of 20 uV, and an operating temperature of 27'C. When the amplifier is operating with a bandwidth first of 10 MHz
The input to the filter is Vin(t)=5+5cos(1000pi*t)+sin(20000pi*t)+4cos(3000pi*t) V and the output is Vout(t)=5+5cos(1000pi*t+10deg)+5sin(3000pi*t) V.
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