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184_notes:cap_in_cir [2021/03/11 22:33] – bartonmo | 184_notes:cap_in_cir [2021/06/15 00:35] (current) – schram45 | ||
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**Capacitance** is defined as the proportionality constant of the potential difference between the plates of the capacitor (|ΔV|) and the amount of charge that is on one plate (|Q|) - if the charge increases, the potential difference should increase and vice versa. Note that since one plate will always have a charge of +Q and one will have a charge of -Q (because of conservation of charge), the |Q| will be the same no matter which plate you are looking at. In terms of an equation, this means that: | **Capacitance** is defined as the proportionality constant of the potential difference between the plates of the capacitor (|ΔV|) and the amount of charge that is on one plate (|Q|) - if the charge increases, the potential difference should increase and vice versa. Note that since one plate will always have a charge of +Q and one will have a charge of -Q (because of conservation of charge), the |Q| will be the same no matter which plate you are looking at. In terms of an equation, this means that: | ||
|Q|=C|ΔV| | |Q|=C|ΔV| | ||
- | The units of capacitance are then **coulombs/ | + | The units of capacitance are then **coulombs/ |
==== Finding Capacitance ==== | ==== Finding Capacitance ==== | ||
We can actually find an expression for capacitance specifically for parallel plates using the [[184_notes: | We can actually find an expression for capacitance specifically for parallel plates using the [[184_notes: | ||
- | [{{ 184_notes:5b_diagram_solution.jpg? | + | [{{ :184_notes:e-field_between_parallel_plates_new.png? |
==== Deriving the Capacitance for Parallel Plates ==== | ==== Deriving the Capacitance for Parallel Plates ==== | ||
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==== Examples ==== | ==== Examples ==== | ||
- | [[: | + | * [[: |
- | + | * Video Example: Energy Stored in a Parallel Plate Capacitor | |
- | [[: | + | |
+ | * Video Example: Finding the Capacitance of a Cylindrical Capacitor | ||
+ | {{youtube> | ||
+ | {{youtube> |