215+Ch5Student-1 - 5. RC AND RL FIRST-ORDER CIRCUITS...

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Unformatted text preview: 5. RC AND RL FIRST-ORDER CIRCUITS CIRCUITS by Ulaby & Maharbiz Transient Response Non-Periodic Waveforms Step Function Rectangular Pulse Ramp Function Exponential Step waveforms u( )=1 iff its argument is positive U(t-3) U(t+3) -2U(3-t) Non-Periodic Waveforms: Step Function Ramp Function r( )=its argument iff argument is positive Waveform synthesis as sum of two ramp functions Pulses Waveform Synthesis 1. Pulse 2. Trapezoid Waveform Synthesis 1. Pulse 2. Trapezoid Exponentials Exponentials Non-Periodic Waveforms: Exponentials Capacitors Passive element that stores energy in electric field Parallel plate capacitor Various types of capacitors Capacitors in Fingerprint Imager Energy Stored in Capacitor Maximum energy Storage Tech Brief 11: Supercapacitors A new generation of capacitor technologies, termed supercapacitors or ultracapacitors, is narrowing the gap between capacitors and batteries. These capacitors can have sufficiently high energy densities to approach within 10 percent of battery storage densities, and additional improvements may increase this even more. Importantly, supercapacitors can absorb or release energy much faster than a chemical battery of identical volume. This helps immensely during recharging. Moreover, most batteries can be recharged only a few hundred times before they are degraded completely; supercapacitors can be charged and discharged millions of times before they wear out. Supercapacitors also have a much smaller environmental footprint than conventional chemical batteries, making them particularly attractive for green energy solutions. solutions....
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This note was uploaded on 01/19/2012 for the course EECS 215 taught by Professor Phillips during the Fall '08 term at University of Michigan.

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215+Ch5Student-1 - 5. RC AND RL FIRST-ORDER CIRCUITS...

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