Current in a RC circuit: Difference between revisions
J nwankwoh (talk | contribs) |
J nwankwoh (talk | contribs) |
||
| Line 15: | Line 15: | ||
The graph presented in the previous section is representative of a exponential equation. The current across a capacitor falls of like <math>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. | The graph presented in the previous section is representative of a exponential equation. The current across a capacitor falls of like <math>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 | As can be seen, as t approaches infinity, I approaches 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=== | ===A Computational Model=== | ||
Revision as of 01:45, 2 December 2015
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 approaches infinity, I approaches 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
How do we visualize or predict using this topic. Consider embedding some vpython code here Teach hands-on with GlowScript
Examples
Be sure to show all steps in your solution and include diagrams whenever possible
Simple
Middling
Difficult
Connectedness
- How is this topic connected to something that you are interested in?
- How is it connected to your major?
- Is there an interesting industrial application?
History
Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.
See also
Are there related topics or categories in this wiki resource for the curious reader to explore? How does this topic fit into that context?
Further reading
Books, Articles or other print media on this topic
External links
Internet resources on this topic
References
This section contains the the references you used while writing this page