Electric field inside the cavity of a sphere.

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SUMMARY

The electric field inside the cavity of a conducting sphere placed in an external electric field is zero, provided the sphere is initially electrically neutral. The free electrons within the conducting material redistribute themselves in response to the external field, ensuring that the net electric field inside the metal remains zero. No net charge appears on the outer surface of the sphere, although induced charges will be distributed on the outer surface in response to the external field.

PREREQUISITES
  • Understanding of electrostatics and electric fields
  • Knowledge of conductors and their properties in electric fields
  • Familiarity with charge distribution in conductors
  • Basic principles of static electricity
NEXT STEPS
  • Study Gauss's Law and its applications in electrostatics
  • Explore the concept of electric field lines and their behavior around conductors
  • Learn about induced charge distribution on conductors in external fields
  • Investigate the effects of placing different charges inside the cavity of a conducting sphere
USEFUL FOR

Students of physics, electrical engineers, and anyone interested in understanding electrostatics and the behavior of electric fields in conductive materials.

Mitadru Banik
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If a conducting sphere having a cavity inside it is placed in an electric field then what will be the field inside the cavity?And is there any charge induced in the cavity?I have many doubt about it give a good discussion about it.. :confused:
 
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Mitadru Banik said:
If a conducting sphere having a cavity inside it is placed in an electric field then what will be the field inside the cavity?
And is there any charge induced in the cavity?
I have many doubt about it give a good discussion about it.. :confused:

all such question have a single core. that is net electric field inside metal is zero. sine they have free electrons so if their will any electric field then they will move according to electric forces(valid only if electric field is not too large))
electric field inside cavity will remain zero(even if you put some charge on it).
i assume that you sphere is initially electrically neutral.
no netcharge will appear on the outer body of sphere.(it's isolated) however there will some charge in front part and same amount of opposite charge will come in other parts.
 
Mitadru Banik said:
If a conducting sphere having a cavity inside it is placed in an electric field then what will be the field inside the cavity?And is there any charge induced in the cavity?I have many doubt about it give a good discussion about it.. :confused:

In case of static electric field, the field is zero inside the metal and it is zero inside the cavity unless some charge has been placed into the cavity. There will be induced charge distributed on the outer surface of the conducting sphere.

ehild
 

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