Calculate minimum value of input resistance for phase shift

The network demonstrated in figure below shows the input of a biomedical amplifier, here a capacitor, C, is utilized to block dc and the input impedance is taken as purely resistive, R.

866_biomedical amplifier.png

Establish an expression for the steady state transfer function as Vi(ω)/VS(ω), expressing this in complex form. Therefore, determine the phase response like a function of frequency for the network. 

Calculate the minimum value of input resistance, R, that will guarantee a phase shift of less than 5O at a frequency of 0.5Hz when C = 0.336F.

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