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Capacitors
Summary
- A capacitor is …
- a device for storing separated electric charges.
- a pair of oppositely charged conductors (called plates even if they aren't flat) separated by an insulator (called a dielectric).
- The capacitance (C)
of an electrostatic system is, by definition, the ratio of the quantity
of charge separated (Q) to the potential difference applied (V).
- The SI unit of capacitance is the farad [F],
which is equivalent to the coulomb per volt [C/V].
- One farad is generally considered a large capacitance.
- The energy stored in a capacitor can be calculated using one of the following equations …
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| U = |
1 |
CV2 = |
1 |
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Q2 |
= |
1 |
QV |
| 2 |
2 |
C |
2 |
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- The capacitance of a parallel plate capacitor is.
- directly proportional to the area (A) of one plate,
- inversely proportional to the separation (d) between the plates, and
- directly proportional to the dielectric constant (κ)
of the material between the plates.
- The capacitance of a cylindrical capacitor is given by
where
- ℓ length
- b outer radius
- a inner radius
- The capacitance of a spherical capacitor is given by
where
- b outer radius
- a inner radius
- The self capacitance of a spherical conductor is given by
where