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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?
The solar constant at Earth orbit (1 AU = 1 Astronomical Unit - Sun-Earth distance) is ~1400 Watts/m2. Assuming that this Poynting flux magnitude can be associated with a single E- and Hfield (i.e., E × H ),
Give a narritve for a cruise control system of a car. Include all relevant inputs and outputs. Design a flowchart and ladder diagram. Every element on the ladder diagram must be labelled and described.
What is the inverse Laplace transform of 32/s(s^2+64). Please show all work.
Working with wired rifle microphones and radio microphones, The theatre's concerns when changing of wired rifle microphones to a radio microphone system are
An amplifier with a power gain of 3dB is to be characterized. The test apparatus provides a SNR of 20dB at the input and measures a SNR of 15dB at the output. Find the amplifier's NF. Specifications for (2), (3), (4) and (5).
What value of emitter resistor would you choose, if: a) You have to amplify the signal of a microphone that has an internal resistance of 100K using a Common Emitter bias configuration b) you have to drive a load of 50 with an Emitter Follower cir..
A uniform plane wave propagates from one dielectric into another at normal incidence. Find the ratio of the dielectric constants such that the magnitudes of the reflection and transmission coefficients are both equal to 0.5.
An input signal of 10V at 0o is applied to a parallel RLC circuit with resistor R = 10 , inductive reactance XL = 20 , and a capacitive reactance XC = 10 . All three components are connected in parallel to the source.
Each memory "word", therefore is a 'nibble', i.e, four bits wide. Sticking to the idea of accessing memory cells using a multiplexed addressing scheme, sketch the memory cells configuration for the four devices and circle the four cells that will ..
Write at least one paragraph explaining why the power factor of the motor changes as the rotor mechanical speed changesin the induction motor. evaluate when the machine is operating in motor mode or generator mode.
The gradient of a function F(x,y,z), written as or grad F, is found as where is the unit vector in the x-direction. is the unit vector in the x-direction, and Ls the unit vector in the x-direction. What is when F = 2x + 3y2z
a. A load consumes 150kW with a power factor pf = 0.7 (lagging). If the load current is 240A (RMS), find the load voltage. b. An industrial plant has an inductive load which consumes 10kW of power from a 220VRMS line.
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