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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?
1. design a simple power factor meter to operate from 230v mains. current range=1 to 10 amps. power factor range : 0.4 to 1 2. what is meant by normal mode rejection an A/D converter has 20ms integration time.
A unity feedback control systems for a robot submarine has a plant with a third-order transfer function G(s) = K / (s(s + 10)(s +50)) We want the overshoot to be approximately 7.5% for a step input
A combination of silver/silver chloride and cadmium electrodes are used for biomedical application. a.) Estimate the half-cell potentials of each of the electrodes assuming the potentials don't change between 25deg and body temp.
A nickel-iron ring withcross-sectional area 0.85cm2 is expected to be driven to itssatur-ation magnetization of 1.1T in a ?eld of 800 A/m. The ?ux density will be measured by an electronic ?ux integrator with input resistance of 1kOhm
It operates at a power factor of 0.85 (lagging) at its rated conditions. Calculate the per-phase current that has to be carried by the cables to the power electronics converter and the step-up transformer located at the base of the tower.
Examining frequency to time domain signals, A spectrum analyzer is connected to an unknown signal. The spectrum analyzer displays the power level of signals in dBm vertically and frequency horizontally. The spectrum of the unknown signal creates t..
An ideal n+/p diode has only the quasi neutral p region of length L illuminated with light such that GL electrons/cm3-s are generated uniformly throughout the region. There is no photo-generation occurring elsewhere in the diode. Derive the curren..
Rain harvesting is a means of water conservation. This real-life problem requires computation and critical thinking involving a practical solution. Apply the problem solving approach studied in class to this rain harvesting and irrigation problem.
At some instant, it goes into regenerative braking. Calculate the armature voltage va at that instant, if the current ia is not to exceed 10A in magnitude. Assume that the inertia is large and thus the speed changes very slowly.
A constant(dc) current i(t)=3mA flows into a 50x10^(-6) capacitor. The voltage at t=0 is v(0)= -20V. The references for v(t) and i(t) have the passive configuration. 1. find the power at t=0 2. state whether the power flow into or out of the capaci..
Draw a 4-bit Linear Feedback Shift Register using a final transition/excitation equation of Q3+ = D3 = Q1 Q0. Determine the sequence generated from this circuit. How many states does the circuit cycle through when given an initial state of 0001
Consider an object that has homogeneously textured surface with maximum spatial frequency of (fx,fy)=(3,4) cycle/ meter and that is moving at a constant speed of (Vx,Vy)=(1,1) meter/second.
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