Finding the Transfer Function of an RLC Circuit with Parallel Capacitance

[sagar615]

When i tried to find V_o(s)/V_i(s), i got a transfer function in s domain as,
degree of denominator was greater than that of numerator.
please help me find the transfer function of the attached circuit. i eventually need to find the impulse response.

 

[berkeman]

When i tried to find V_o(s)/V_i(s), i got a transfer function in s domain as,
degree of denominator was greater than that of numerator.
please help me find the transfer function of the attached circuit. i eventually need to find the impulse response.

Welcome to the PF. What transfer function do you get? Show us what you got.

And why would it maybe be good if the denominator had a higher order than the numerator?

 

[sagar615]

Thank you for such quick response. I am sorry. What i derived has degree of numerator greater than degree of denominator. the transfer function that i got is, please refer to the attachment and let me know if I'm doing something wrong. thanks

 

[berkeman]

Thank you for such quick response. I am sorry. What i derived has degree of numerator greater than degree of denominator. the transfer function that i got is, please refer to the attachment and let me know if I'm doing something wrong. thanks

I'm not sure (the problem statement schematic is a bit unusual for me), but I think Vi should be at V- input, and the other side of the xtal is grounded (connected to V+ input). Vi is not being fed in through the xtal. Does that give you a better result?

 

[sagar615]

Vi is connected through the RLC circuit parallel with C_p. Attached is the other equivalent of the circuit. I hope that gives a better idea of the circuit i am trying to analyze. The schematic diagram seems correct according to this attachment. I do not know whether it gives a better result. I have just been asked to find the impulse response. so i was trying to evaluate the transfer function first.