Why is Neutrality Important in Electrostatics of Conductors with Cavities?

  • Thread starter Thread starter vibhu_baronia
  • Start date Start date
  • Tags Tags
    Conductors
Click For Summary
SUMMARY

In electrostatics, when a conductor with a cavity contains a charge, negative charge is induced on the inner surface while an equal positive charge is induced on the outer surface to maintain overall neutrality. This phenomenon is explained by Gauss's Law, which states that the electric field inside a conductor in electrostatic equilibrium is zero. The necessity of neutrality arises because the total charge of the conductor must remain constant, as charge cannot be created or destroyed.

PREREQUISITES
  • Understanding of Gauss's Law
  • Knowledge of electrostatic equilibrium
  • Familiarity with electric fields and charge distribution
  • Basic principles of conductors and insulators
NEXT STEPS
  • Study the implications of Gauss's Law in different geometries
  • Explore the concept of electric field lines in conductors
  • Investigate the behavior of conductors with multiple cavities
  • Learn about the applications of electrostatics in real-world scenarios
USEFUL FOR

Students of physics, electrical engineers, and anyone interested in the principles of electrostatics and charge distribution in conductors.

vibhu_baronia
Messages
2
Reaction score
0

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

 
Physics news on Phys.org
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 !
 

Similar threads

  • · Replies 19 ·
Replies
19
Views
2K
  • · Replies 12 ·
Replies
12
Views
1K
  • · Replies 8 ·
Replies
8
Views
6K
  • · Replies 10 ·
Replies
10
Views
2K
Replies
23
Views
5K
  • · Replies 4 ·
Replies
4
Views
2K
  • · Replies 2 ·
Replies
2
Views
1K
  • · Replies 17 ·
Replies
17
Views
3K
Replies
11
Views
4K
  • · Replies 1 ·
Replies
1
Views
1K