CAPACITOR - Capacitor is a system of two conductors separated by an insulator. The conductors have charges +Q and –Q and potential V1 and V2
Q V
c = Q / V , the constant c is called capacitance of the capacitor. Capacitance c depends only on the geometrical configuration (shape , size , separation of the two conductors .)
S.I. unit of capacitance is ‘FARAD’ (F)
DEFINATION OF 1 FARAD –
1F = 1 C/V
1µF = 10-6 F & 1pF = 10-12F
PARALLEL PLATE CAPACITOR -
The electric field in outer region 1
E = σ /2є0 - σ /2є0 = 0
The electric field outer region 2
E = σ /2є0 - σ/2є0 = 0
Electric field in the inner region between the plates 1 and 2
E = σ /2є0 + σ /2є0 = Q/ є0A
V = E . d = 1/ є0 × Qd/ A
The capacitance C on the parallel plate capacitor is
c = Q/V = є0A/d
c = є0A/d
c depends on the factors
1- c A
2- c 1/d
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