Calculations 1 . Derive the transfer functions for the circuits shown in Figs . 1 ( a ) , 1 1 6 ) and 1 ( c ) : = VLEI` HLP ( 5 ) =\ V. ( 5) HHP ( S...

How do we find the transfer function?

and how do we express them as H(s)=P(s)/Q(s)

Calculations1 . Derive the transfer functions for the circuits shown in Figs . 1 ( a ) , 1 1 6 ) and 1 ( c ) := VLEI`HLP ( 5 ) =\V. ( 5)HHP ( S ) = V HP\\- V: ( 5)_ Y'BP ( 5)HEP ( 5 ) = V. `RizCA-O VLP-O VHP* VEPV/CyI'C zVPisCE"I"I( 2 )( b )( C)Figure 1 : Second order ( a ) lowpass filter ( b ) highpass Filter ( C ) bandpass filterExpress the transfer functions asP ( 5 )H ( 5 ) = ( 5)( 1 )where P ( 5 ) and @ ( 5 ) are polynomials of = with coefficients in terms of resistors and capacitors . Rememberthat negative powers of s are not allowed in polynomials , so all the terms in P ( 5 ) and @ ( 5 ) must contain 5 ")where " _ O.