The behavior of Capacitance Explained
Current and Voltage Explained
Current & Voltage
The advantage of capacitors is that they hold charge. The charge they
hold is not as constant as a battery. A common usage for a capacitor
is to eliminate voltage peaks created by static and other
electro-magnetic interference. Since it takes time to build up a charge
between the capacitor plates, the voltage differential between the two
sides of the capacitor reacts quickly at first, slowly easing its
way to the voltage applied. This is like when you tip a bottle on its
side, first it rush out, then it dribbles.) The capacitor isn't just
storing voltage,
its also storing energy, or the potential to do work. (The same pattern
emerges when you discharge a
capacitor through a resister. These type of circuits are call RC
(Resister + Capacitor) circuits).The behavior of which the current that flows through the resister is the slope of the two voltages applied. Thus we get integration.
The current is proportional to the rate at which the voltage across the capacitor varies with time:
(i = capacitance * changes in voltages by changes in time)
(Using Math from differential equations, splitting up the derivative)
(The current though a capacitor)
Power
Power is commonly known as watts; defined in voltage * current.
With capacitors it is also time dependent, so one must apply slopes.