Current in a RC circuit
Short Description of Topic
The Main Idea
Now that we have an understanding of steady state current, we can begin to examine the current in a RC circuit.
The current in a RC circuit differs from the current in a simple circuit because the capacitor acquires and releases charge; this varies the current.
This a graphical representation of the changing current and voltage on a capacitor with respect to time.
A Mathematical Model
The graph presented in the previous section is representative of a exponential equation. The current across a capacitor falls of like [math]\displaystyle{ I = ({\frac{V}{R}})e^{\frac{-t}{RC}} }[/math] where V is the voltage driving the current, R is the resistance of the circuit, t is time, and C is the capacitance of the capacitor.
As can be seen, as t \xrightarrow \infty, I \to \0. In plain english, if the circuit is closed for a "very long time" the current in the circuit will approach zero.
A Computational Model
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