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184_notes:examples:week7_charging_capacitor [2018/06/19 15:13] – curdemma | 184_notes:examples:week7_charging_capacitor [2021/06/14 23:50] (current) – schram45 |
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===Approximations & Assumptions=== | ===Approximations & Assumptions=== |
* There are no other circuit elements (except for the wire). | * There are no other circuit elements (except for the wire): This simplifies down the model, having resistors or other capacitors will change the graphs for a charging or discharging capacitor. |
* The wire itself has a small resistance, just so we do not have infinite current at t=0. | * The wire itself has a small resistance: If the wires had no resistance then the current at t=0 would go to infinity by ohms law. This can be shown by solving ohms law for current in a circuit as the resistance approaches zero. |
* Practically speaking, the capacitor becomes "fully charged" (with respect to the potential of the battery) at some finite time. | * Practically speaking, the capacitor becomes "fully charged" (with respect to the potential of the battery) at some finite time: The amount and time it takes for a capacitor to charge also depends on the circuit it is in and the voltage across it, this assumption simplifies down our graphs. |
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===Representations=== | ===Representations=== |