Study the circuit shown in the figure (without the load resistor). a) As w → 0, the inductor behaves like what circuit component ? What value will the output voltage vo have? b) As w + 0, the inductor...

I have attached the question with the answer as shown in the snap. I neep step by step solution (Hand Written Only). Need the answer of all parts otherwise, not accepted. Please

Extracted text: Study the circuit shown in the figure (without the load resistor). a) As w → 0, the inductor behaves like what circuit component ? What value will the output voltage vo have? b) As w + 0, the inductor behaves like what circuit component? What value will the output voltage vo have? c) Based on parts a) and b), what type of filtering does this circuit exhibit ? d) What is the transfer function of the unloaded filter? e) If R = 330 N and L = 10 mH, what is the cutoff frequency of the filter in rad/s? R V(8) V(S) H(s) = Answers: a) ZL(W=0) = 0 => the inductor behaves like a short circuit. And Vo - V b) ZL(w= 00) = 0 => the inductor behaves like an open circuit. And Vo - 0 c) This is a low pass filter d) H(s) = R e) we = 33krad/s