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Quantitatively answer the following questions regarding scaling and miniaturization
(a) Electrostatic scaling: prove that electrostatic force between the two plates of a charged capacitor is a surface force (~L2); How about the stored energy under constant voltage on the capacitor (~L1, ~L2, or ~L3)? What is the breakdown electric field in air? How does this breakdown field scale with dimensions?
(b) How about piezoelectric force scaling (does the force act like that of capacitive elements, i.e. piezoelectric force is a surface force?)
(c) Build a mathematical model of an electrostatic rotary motor, and discuss scaling in force, torque and power. Is friction a surface force? Does the friction scale along with power generated by the electrostatic micromotor?
(d) Thermal scaling: why heat transfer in micro world is fast? Is this property good for actuators and heat sinks?
An IPv4 datagram has arrived with the following information in the header (in hexadecimal): Ox45 00 00 54 00 03 58 50 20 06 00 00 7C 4E 03 02 B4 OE OF 02 a. Is the packet corrupted b. Are there any options
Cars arrive at a toll plaza at the rate of 60 cars per hour. There are four booths, each capable of servicing 30 car per hour. Assume a Poisson distribution for arrivals and an exponential distribution for service time.
The continuous-time counterpart to the N-point discrete-time MA filter is the I-interval continuous-time MA filter given by the input/output relationship y(t)=(1/I)*Integral of x(lamda) delta lambda where the bounds are from t-I
The reactance in ohms of a capacitor at frequency of 500 Hz is 145 ohms; what is the value of the capacitor in uF. The reactance in ohms of a capacitor of 10 uF at a FREQUENCY of 200 Hz is
If it takes 3.52 s for 10.0 mL of helium to effuse through a hole in a container at a particular temperature and pressure, how long would it take for 10.0 mL of oxygen, O2, to effuse from the same container at the same temperature and pressure
A potentiometer is wired is wired to represent a rotational range of 0-180 degree. The potentiometer is supplied with a voltage of 15 VDC. What is the output voltage at 75 degree
1. Use the Quine-McCluskey minimization method to find a minimum cost SOP realization of the following functions (a) f(x1,x2,x3,x4)= fm(0,2,4,5,7,8,9,15) (b) f(x1,x2,x3,x4)= fm(0,4,6,8,9,15) + d(3,7,11,13)
A ball is shot into the air at 30 degress above the horizontal. It's initial Velocity is 5m/s and lands at the same height that it is launched from. How far does it travel horizontally
For a Wien-bridge oscillator (a) Given R = 50Kohm and C = 100nF what is the frequency of oscillation (b) Given a required frequency of oscillation of f = 10kHz and R = 8kohm, what should the value of C be
A 3 phase, 208V, 4 pole, 60Hz, Y connected synchronous generator has a synchronous reactance of 8 ohm. Assume the resistance of this generator is negligible. The machine terminal voltage is maintained constant at 208V (line to line).
Design a full wave unregulated dc power supply having an input of 220 V rms 60 Hz and an output voltage maximum of 19.5 V and a minimum of 15 V. This power supply will be needed to provide power to a load which requires a maximum current
Sketch the Capacitance-Voltage characteristics for both devices based on part (d) by giving appropriate labeling to the voltage and capacitance axis. You may assume high f measurements.
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