Media Summary: Okay no question Then um let's figure out how we can get a formula such as this Okay that we know how to do right then you get e to the j alpha t / j alpha 0 to t and then you get e to the j alpha t minus And then uh you can renormalize this equation so that it look something like J Omega RC minus Omega squ LC +

Uiuc Ece 210 L27 1 - Detailed Analysis & Overview

Okay no question Then um let's figure out how we can get a formula such as this Okay that we know how to do right then you get e to the j alpha t / j alpha 0 to t and then you get e to the j alpha t minus And then uh you can renormalize this equation so that it look something like J Omega RC minus Omega squ LC + If you the clock a bar H of Omega magnitude and then this is omega over omega squared plus No so we have i think 60 years and it's not section wise it's not such a nice okay anita is ... Square Omega t with does anybody remember the trigonometric identity for cosine of square of Thea

So summing that gives me b minus so i have v minus being equal to v 0 Example 10.3 let's go through this example so it says that if ht is equal to

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UIUC ECE 210 L27-1
UIUC ECE 210 L28-1
UIUC ECE 210 L27-2
UIUC ECE 210 L26-1
UIUC ECE 210 24-1
UIUC ECE 210 L49-1
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UIUC ECE 210 L50-1
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UIUC ECE 210 L27-1

UIUC ECE 210 L27-1

Okay no question Then um let's figure out how we can get a formula such as this

UIUC ECE 210 L28-1

UIUC ECE 210 L28-1

Okay that we know how to do right then you get e to the j alpha t / j alpha 0 to t and then you get e to the j alpha t minus

UIUC ECE 210 L27-2

UIUC ECE 210 L27-2

He is 2 pi over n Omega naught largest

UIUC ECE 210 L26-1

UIUC ECE 210 L26-1

And then uh you can renormalize this equation so that it look something like J Omega RC minus Omega squ LC +

UIUC ECE 210 24-1

UIUC ECE 210 24-1

If you the clock a bar H of Omega magnitude and then this is omega over omega squared plus

UIUC ECE 210 L49-1

UIUC ECE 210 L49-1

Minus

UIUC ECE 210 1-1

UIUC ECE 210 1-1

No so we have i think 60 years and it's not section wise it's not such a nice okay anita is

UIUC ECE 210 21-1

UIUC ECE 210 21-1

... Square Omega t with does anybody remember the trigonometric identity for cosine of square of Thea

UIUC ECE 210 1-2

UIUC ECE 210 1-2

Charge 10 to the minus 90. so

UIUC ECE 210 L50-1

UIUC ECE 210 L50-1

Function you have r of s is equal to say

UIUC ECE 210 11-1

UIUC ECE 210 11-1

So summing that gives me b minus so i have v minus being equal to v 0

UIUC ECE 210 L45-1

UIUC ECE 210 L45-1

Example 10.3 let's go through this example so it says that if ht is equal to

UIUC ECE 210 25-1

UIUC ECE 210 25-1

Very good okay alpha bleep k