IIT JEE , AIEEE Forum - Articles Category , Community shelf - The entire saga on grounding in a nutshell!!!!!

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METALLIC PARALLEL AND LARGE PLATE COMBINATION

*For an isolated body total charge is always conserved
*Net electrostatic field inside a conductor in absence of external force field (like gravitational, magnetic field ) is zero.
The above concept can be used to find charge distribution on || plates.
*Facing plates of the combination will carry equal and opposite charges always (to cancel electric field inside conductor)
*If a particular plate/plates is/are grounded charge on it/them will NOT be conserved
*The potential of conductor which is grounded becomes zero.Hence
-_{[ ]}

^{[ ]} charge on earthed plates=_{[ ]}

^{[ ]} charge on unearthed plates(it can be a time saving approach for objective questions)
*The charges on the outer surfaces of outermost plates of combination will be EQUAL and of SAME NATURE (again its to make E net=0 inside conductor)
*When two conductors are connected their potential becomes equal. Charge distributes itself such that potential difference between the connected bodies becomes zero.
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SPHERICAL SHELL ARRANGEMENT

*For a conducting shell/hollow sphere/solid sphere electric field =0 for all inside pts
Potential
Vsurface=Vcentre=Vany inside pt=1/4pie epsilon not* Q/R =constant
where Q is total charge given to the sphere of radius R
*For spherical shell combination for innermost conductor charge will reside on its outer surface
*When a charged metallic body(spherical) is completely enclosed by another metallic body(spherical) , the outer surface of inner sphere and inner surface of outer sphere carries equal and opposite charges(a source-from where the field lines originate should have an equal sink-where lines terminate- in case of electrostatic field lines)
*Charge conservation can be applied to isolated bodies
*Charge on grounded bodies will NOT be conserved but potential will be zero
V=0 would assist in determination of charge distribution
* Whether a conducting shell is grounded from inside or outside it would mean the same becoz surfaces are equipotential (its a common misconception that grounding must be done from inside)
*If a charged conductor is connected to another charge distributes itself in ratio of capacities or ratio of radii
Q1/Q2=C1/C2=R1/R2
*For an isolated conducting body of arbitrary shape charge distributes itself in the inverse ratio of radii of curvature or direct ratio of curvature
*When a metallic sphere is kept inside another(both charged) the potential difference between the two spheres ONLY depends on charge given to outer sphere.
*So if two concentric spheres are connected all charge will flow from inner to outer sphere no matter what is the nature and magnitude of charge on either sphere.

ITS A SELF WRITTEN ARTICLE ,

HOPE U FIND IT USEFUL !!!!!

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All the best to all iit-jee aspirants!!

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