PhysicsFoO

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The behavior of Capacitance Explained


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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:
Figure1 (i = capacitance * changes in voltages by changes in time)
Figure2(Using Math from differential equations, splitting up the derivative)
Figure3(The current though a capacitor)


Power


Power is commonly known as watts; defined in voltage * current.
Figure5
With capacitors it is also time dependent, so one must apply slopes.
Figuer6
Figure7
Figure8


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