What is the transfer function of a capacitor?

[thomas00]

I know the impedance of a capacitor can be written as 1/sc

But how about the transfer function(Bode diagram, gain&phase) of a capacitor? I mean if a signal is imposed on one end of the capacitor, how does the output signal at the other end of this capacitor look like?

 

[FvM]

Your question is mixing up signal flow and circuit representation of a system. To determine a transfer function, you have to define electrical quantities, usually voltages or currents, that act as in- and output signals. Because a capacitor has only two terminals, a transfer function can't be defined without using additional components, that can form a circuit. Or you can define a transfer function between current and voltage, which isn't but another word for impedance.

 

[LvW]

I know the impedance of a capacitor can be written as 1/sc
But how about the transfer function(Bode diagram, gain&phase) of a capacitor? I mean if a signal is imposed on one end of the capacitor, how does the output signal at the other end of this capacitor look like?

By definition a "transfer function" can be given only for a two-port (four-pole) device.