Ch07s - Chapter 7 Problem Solutions 7.1 a T(s = T(s = V0 s...

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Chapter 7 Problem Solutions 7.1 a. ( ) ( ) ( ) ( ) ( ) 0 1 1 1 1 1 1/ ( ) 1/ 1 1 i V s sC T s V s sC R T s sR C = = + = + b. T 1 f H 159 Hz f ( )( ) 3 6 1 1 1 1 159 Hz 2 2 10 10 H H f f R C π π = = = c. ( ) ( ) 0 1 1 1 1 i V s V s sR C = + For a step function ( ) 1 i V s s = ( ) ( ) ( ) ( ) ( ) ( ) ( ) 1 1 1 2 0 1 1 1 1 1 1 1 2 1 1 1 1 1 1 2 1 1 2 1 1 1 1 1 1 0 1 1 1 1 / 0 1 1 1 1 1 1 1 and 1 1 1 1 1 1 1 t R C K K V s s sR C s sR C K sR C K s s sR C K s K R C K s sR C K K R C K R C V s s sR C s s R C v t e = = + + + + + = + + + = + = − = = + + = + = 7.2 a. ( ) ( ) ( ) ( ) ( ) 0 2 2 2 2 2 2 2 1/ 1 i V s R T s V s R sC sR C T s sR C = = + = + b.
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