Finding transfer functions for RLC circuits

[quick]

http://img66.imageshack.us/img66/9784/prob17zo.jpg

j*omega = s

so for a, i got Vo = Vi * (sL/(sL+R+1/sc))
so H(s) = sL/(sL+R+1/sc) and i multiplied it by s/s to get rid of s in in denominator of the 1/sc term to get s^2*L/(s^2*L+Rs+1/c)

is this correct?

for the second one i got Vo=Vi*(1/sc)/(R*sL/R+sL)+1/sc. i did a similar thing by multiplying by s/s.

any suggestions would be appreciated.

 

[EvLer]

that looks right to me. Only you need to match parenthesis carefully.

$$H(s) = \frac{sL}{sL+R+\frac{1}{sC}}$$
$$Vo=Vi\frac{\frac{1}{sC}}{\frac{RsL}{R+sL}+\frac{1}{sC}}$$