ECE201_Lecture15 - 1 ECE201 Linear Circuit Analysis I...

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Unformatted text preview: 1 ECE201 Linear Circuit Analysis I Lecture 15. Topic: Inductor and Inductance 1. What is an inductor? Usually made of wires coiled into a cylinder. Inductors tend to resist a sudden change in current flowing through the coiled wires. 2. Inductance (2) unit: Henry, or H. (3) v-i relationship v L (t) = L di L (t) dt thus 1 H = 1 V-sec/A (4) i-v relationship i L ( t ) = 1 L v L ( ) d t Equivalently, + = t t L t L L d v L d v L t i o ) ( 1 ) ( 1 ) ( i L (t o ): initial condition, summarizes the history of the operation of L up to time t o . Since i L (t) depends on i L (t o ), we say L has memory. (Resistors do not have memory) i L ( t ) = i L ( t o ) + 1 L v L ( ) d t o t (1) symbol (passive sign convention) i L (t) L + v L (t) _ 2 3. Continuity Property of Inductor (Current) (1) If: v L (t) is bounded Then: i L (t) is continuous; i.e., i L (t ) = i L (t + )....
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This note was uploaded on 04/19/2011 for the course ECE 201 taught by Professor All during the Spring '08 term at Purdue University-West Lafayette.

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ECE201_Lecture15 - 1 ECE201 Linear Circuit Analysis I...

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