Why is Neutrality Important in Electrostatics of Conductors with Cavities?

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In electrostatics, a conductor with a cavity will induce a negative charge on its inner surface when a charge is placed inside the cavity, as explained by Gauss's Law. This results in an equal positive charge being induced on the outer surface of the conductor to maintain overall neutrality. The principle of charge conservation dictates that the total charge must remain constant; thus, any charge attracted to the inner surface must leave an equal and opposite charge on the outer surface. The cancellation of the electric field within the conductor is essential for maintaining electrostatic equilibrium. Neutrality is crucial to ensure that the conductor behaves predictably under electrostatic conditions.
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Homework Statement


when a conductor under electrostatic equlibrium with cavity has charge inside,we say -ve charge is induced at inner surface
by Gauss Law,but why do we say +ve charge induced at surface , I mean thru Gauss Law we
we say Electric field has been canceled out ,why the hell need of neutrality ??



Homework Equations





The Attempt at a Solution

 
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welcome to pf!

hi vibhu_baronia! welcome to pf! :smile:
vibhu_baronia said:
when a conductor under electrostatic equlibrium with cavity has charge inside,we say -ve charge is induced at inner surface by Gauss Law,but why do we say +ve charge induced at surface …

charge doesn't come from nowhere

if the conductor starts neutral, then it has to stay neutral …

if a charge is attracted to the inner surface, it leaves an equal and opposite charge behind it! :wink:
 
vibhu_baronia said:

Homework Statement


when a conductor under electrostatic equlibrium with cavity has charge inside,we say -ve charge is induced at inner surface
by gauss law,but why do we say +ve charge induced at surface , i mean thru gauss law we
we say electric field has been canceled out ,why the hell need of neutrality ??



Homework Equations





The Attempt at a Solution

thanks a lot !
 
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