Electrostatic Potential and Capacitance


   
 
Formulae and Facts
1) Electric potential 'V' due to a point charge
 
 
'V' due to dipole (axial line)
 
 
'V' due to dipole (equatorial line) is zero.
 
2) P.d and electric field
 
 
 
3) Capacitance
 
 
where Q is charge on either plates and V the p.d between plates.
 
4) C for a parallel plate capacitor
 
 
where A is area of plates and d the distance between the plates.
 
5) Capacitance of a parallel plate on introducing a conducting slab of thickness 't'
 
 
6) Capacitance of a parallel plate on introducing a dielectric slab (er) of thickness t.
 
 
7) Effective capacitance when connected in series
 
 
8) Effective capacitance when connected in parallel
 
Ceff = C1 + C2 + C3
 
9) Energy stored in capacitor on charging is
 
 
10) SI unit of potential is joule.
 
SI unit of capacitance is farad.
 
SI unit of polarisation is Cm-2.
 
of atomic polarisability 'a' is m3.
 
SI unit of energy density is Jm-3.
 
12) Potential energy of a single charge due to an external field is given by q v(r) where q is charge and v(r) is external potential at point 'r'.
 
13) Potential energy of a system of two charges (q1, q2) located at r1, r2 respectively is given by
 
 
14) Potential energy due to dipole moment in a uniform field is
 
V = -p.E
 
where p is dipole moment and 'E' the electric field.
 
15) The capacitance of a parallel plate capacitor in vacuum is given by
 
 
where 'd' is separation distance of the plates.
 
 
     
   
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