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I'm trying to determine the transfer function to a simple circuit, see pdf. Is the simplest way to describe H(jω) by finding Y(jω) and U(jω) in H = Y/U. Further using the impedances for each component. If so, is each function Y(jω) and U(jω) determine by 'walking' through each impedance path giving something like this.

[itex]Y = \frac{1}{\frac{1}{Z_L} + \frac{1}{Z_C} }[/itex] and [itex]U = R +\frac{1}{\frac{1}{Z_L} + \frac{1}{Z_C} }[/itex]

[itex]Y(jω) = \frac{1}{\frac{1}{jωL} + \frac{1}{1/jωC} }[/itex] and [itex]U(jω) = R +\frac{1}{\frac{1}{jωL} + \frac{1}{1/jωC} }[/itex]

And next step simplify H(jω) to get the transfer function?

I'd really appreciate some help or pointers on this. Is this how it's done or..?

[itex]Y = \frac{1}{\frac{1}{Z_L} + \frac{1}{Z_C} }[/itex] and [itex]U = R +\frac{1}{\frac{1}{Z_L} + \frac{1}{Z_C} }[/itex]

[itex]Y(jω) = \frac{1}{\frac{1}{jωL} + \frac{1}{1/jωC} }[/itex] and [itex]U(jω) = R +\frac{1}{\frac{1}{jωL} + \frac{1}{1/jωC} }[/itex]

And next step simplify H(jω) to get the transfer function?

I'd really appreciate some help or pointers on this. Is this how it's done or..?