Circuit analysis combined with capacitors

What is a capacitor and how is It measured?

Capacitance represents the efficiency of charge storage and it is measured in units of Farads (F). The presence of time in the characteristic equation of the capacitor introduces new and exciting behavior of the circuits that contain them. Note that for DC (constant in time) dv signals ( = 0 ) the capacitor acts as an open circuit (i=0).

What does a capacitor look like in a inductor?

Thus, at steady state, in a capacitor, i = C dv dt = 0, and in an inductor, v = Ldi = 0. That is, in steady dt state, capacitors look like open circuits, and inductors look like short circuits, regardless of their capacitance or inductance. (This might seem trivial now, but we'll use this fact repeatedly in more complex situations later.)

Why is a capacitor a fundamental element?

In both digital and analog electronic circuits a capacitor is a fundamental element. It enables the filtering of signals and it provides a fundamental memory element. The capacitor is an element that stores energy in an electric field. The circuit symbol and associated electrical variables for the capacitor is shown on Figure 1. Figure 1.

What is the equivalent capacitance of a series connected capacitor?

The equivalent capacitance of series-connected capacitors is the reciprocal of the sum of the reciprocals of the individual capacitances. Why? The equivalent capacitance of parallel capacitors is the sum of the individual capacitances. Why?

How to solve inter element capacitor problem?

These are developed due to the charge present in them during their operation. The inter element capacitors undergo change due to various reasons as temperature, voltage etc. This problem can be solved by connecting swamping capacitor across offending inter-element capacitor. The value of Q (Quality factor) must be high in oscillators.

What is the relationship between voltage and current in capacitors and inductors?

In order to describe the voltage{current relationship in capacitors and inductors, we need to think of voltage and current as functions of time, which we might denote v(t) and i(t). It is common to omit (t) part, so v and i are implicitly understood to be functions of time.