I solved the transfer function of this circuit, and then took the high and low frequency limits in order to find the phase shift.

For $$H_{high}$$, the phase shift would be arctan(-ω/1), but for $$H_{low}$$, Im not sure how I would find the phase shift since the Real and Reactance part are summed?

This makes me think I am doing something wrong. Any help?

 

I solved the transfer function of this circuit, and then took the high and low frequency limits in order to find the phase shift.

For $$H_{high}$$, the phase shift would be arctan(-ω/1), but for $$H_{low}$$, Im not sure how I would find the phase shift since the Real and Reactance part are summed?

This makes me think I am doing something wrong. Any help?

View attachment 303413

Hello,

To start with, in part (a) your expression for Zo does not look right. Double check that see what you can come up with.
I would say get that right first.
An L and C in parallel or really in any circuit I think will always retain at least one imaginary operator (i) because in general there will usually be a phase shift.
Also, in electrical work we use " j " for the imaginary operator.