I have a question about capacitors which is bothering me.
Why do capacitors obey KCL?
A fundamental fact used in electrical engineering is that in a circuit if charge enters in one terminal of a capacitor, an equal amount leaves the other terminal. It's not clear to me why this is the case?
For a capacitor with one terminal left floating it is possible to insert charge into the other terminal without producing a charge leaving the floating terminal. Why is it KCL is obeyed under the normal operation of a capacitor instead of this behavior occurring?