Physics Capacitors

Capacitance

Whenever charge is given to a conductor its potential increases.
`Q prop C => Q =CV`
where `C` is proportionality called capacitance of the conductor.
Definition of C

`C = Q/V`
If `V = 1 `v, then `C = Q`
i.e. capacitance of a conductor is numerically equal to the charge that raises its potential by 1 volt.

SI unit of capacitance is farad (F) and 1F= 1 coulomb/volt `(1 CV^-1).` farad is a very big unit for capacitance its practical units such as `muF` (microfarad), `nF` (nanofarad), pf(picofarad) are used.

`1 muF = 10^-6F`
`1 nF =10^-9 `
`1 pF = 10^-(12)F = 1 mu mu F`
CGS unit of capacitance is statefarad (SF) and 1 farad = `9xx10^(11)` statfarad.
Dimensional formula for capacitance is, `[c] = [M^-1 L^-2 T^4 A^-2]`

 
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