Capacitance of parallel plate capacitor derivation
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A parallel plate capacitor consist of two large plane parallel conducting plates separated by a small distance .
The electric field intensity between two closely spaced parallel plates in vacuum is given by,
E=¶/£
where , ¶=surface density on either plate.
¶=Q/A
Q=charge on either plate
A=area of each plate
E=¶/£=1/£ Q/A.......1
Relation between electric field & potential difference is,
E=V/D........2
from 1 & 2,
Q/£A=V/d
Q/V=£A/d
from the definition of capacitance, C=Q/V
C = £A/d
if the space between the plates is filled with a medium of dielectric constant 'k' then ,
C=K£A/d
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