L8_sinusoidal_steadystate

# L8_sinusoidal_steadystate - ESC102 : Introduction to...

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ESC102 : Introduction to Electronics A.R. Harish Dept. of EE, IIT Kanpur Sinusoidal Steady state Analysis Aug 9, 2010

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2 L8_sinusoidal_steadystate
1,3,5 4 1 ( ) sin ( ) n t f t n T π = 3 L8_sinusoidal_steadystate

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( ) (90 ) d Sin x Cos x Sin x dx = = - ( 90) Sin x dx Cos x Sin x =- = - This makes analysis easier c c dv i C dt = di v L dt = So as a sinusoidal signal goes through a circuit, it remains a sinusoid 4
Transient and Forced Response 5 L8_sinusoidal_steadystate

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6 L8_sinusoidal_steadystate
( ) cos( ) m v t V t ϖ θ = + 7 L8_sinusoidal_steadystate

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( ) cos( ) m v t V t ϖ θ = + 8 L8_sinusoidal_steadystate
) 60 4 sin( 5 o t - π What is the amplitude, phase, angular frequency, time period, frequency? Example-1 ( ) cos( ) m v t V t ϖ θ = + ( ) 5 cos(4 60 90 ) o o v t t = - - Amplitude = 5 ; Phase = -150 o Phase in radians: 360 o = 2 π 150 2 2.618 360 Radians θ - = × =- 4 / r s ϖ = 4 0.5 T s T 2 = = ⇒ = 1 2 f Hz T = =

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Example-2 1 4sin(377 25 ) o i
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## This note was uploaded on 12/08/2010 for the course EE ESC102 taught by Professor A.r.harish during the Spring '10 term at IIT Kanpur.

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L8_sinusoidal_steadystate - ESC102 : Introduction to...

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