The RC series circuit may be used as a first order filter. Depending on the chosen output to be in the the capacitor or resistor, it may behave as a low pass (LP) or a high pass (HP) filter.

When the output is in the capacitor, the transfer function is:

                                   H(S)_{PB} = \frac{\frac{1}{RC}}{s + \frac{1}{RC}}

a) Examine the Bode Diagram of this high pass filter when the values of the resistor and of the capacitor vary.

R =  Ω     C =  F

Frequency from  to  Hz

When the output is in the resistor, the transfer function is:

                                   H(S)_{PA} = \frac{s}{s + \frac{1}{RC}}

b) Examine the Bode Diagram of this low pass filter when the values of the resistor and of the inductor vary.

R =  Ω     C =  F

Frequency from  to  Hz

An interesting exercise is to compute the responses of both filters using the same values of R and L, and then compare results.