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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?
What legal condition must be present for a Surety to act There are 6 courses of action that he can take (see slide 102). Assume the contract in question is to repave the Founder's Lot at UOIT; Pave-M-Good (PMG) being the contractor
A new project has the following predicted profits. The initial investment is $3,000,000. Yr Revenue 1 $200,000 2 $400,000 3 $600,000 4 $800,000 5 $1,200,000 6 $1,200,000 7 $1,400,000 8 $1,600,000
Three series-connected capacitors, C1, C2 and C3, with capacitances 10uF, 15uF and 27uF respectively, are connected in parallel with a 15uF capacitor and a 150V DC source. Calculate: a) Equivalent capacitance of the circuit
A student project requires a 6 V DC power supply that can source 300 mA. The batteries for the power supply must last for a minimum of 8 hours of continuous operation. NiMH rechargeable batteries in AA size are to be used.
Design a buck converter that has an output of 12 V from an input of 18 V. The output power is 10 W. The output voltage ripple must be no more than 100 mV p-p. Specify the duty ratio, switching frequency, and inductor and capacitor values.
A jet engine is modeled as a serial combination of a compressor, an adiabatic constant pressure combustor, and a turbine. Air (considered to have a variable specific heat) is compressed through a compression pressure ratio of 8.25:1
A small buck converter has 24 V input and 12 V output. The transistor has Rds(on) - 0.1 Ohm. The diode is modelled as a 1.0 V drop. Each device has junction to ambient Rtheta(ja) = 40 K/W and Tjunction
What is the smallest number of samples that could be collected in order to know for sure whether or not the 1000Hz component is present? Assume you are using a Rectangular window.
a circuit for an ac voltmeter utilizes a moving-coil meter that gives a full-scale reading when the average current flowing throught it is 1mA. The moving-coil meter has a 50-ohm resistance.
a) What is the total resistance corresponding to 1kohm, 4kohm, 10kohm, 4.7kohm resistors connected in series b) What is the total resistance corresponding to 10ohm, 100ohm, 1kohm, 10kohm resistors connected in parallel
Two point charges q1 = 2.0 C and q2 = 1.0 are fixed in a plane at the positions given by the Cartesian coordinates shown in the figure at right. Consider that they are in a vacuum, where ko = 9.0 × 109 N.m2/C2.
A pn junction may be formed by depositing a single crystal film of uniformly doped p-silicon onto a substrate that has been doped n-type. The substrate is 500um thick, and the film is 20um thick. The substrate has a 5 ohm-cm resistivity.
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