Why is the electric field zero inside a cavity in a conductor?

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kartikwat
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I have read that electric field inside a cavity of irregular conducting surface having any charge is zero.how is this possible?
 
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Is the charge inside the conductor or inside the cavity?
 
Meir Achuz said:
Is the charge inside the conductor or inside the cavity?

On Conducting surface
 
kartikwat said:
I have read that electric field inside a cavity of irregular conducting surface having any charge is zero.how is this possible?

Because it's a conducting surface, the charges are free to move around. Therefore, all points on the surface must be at the same potential; if they weren't, the freely moving charges would move from the high-potential areas to the low potential areas until the difference was neutralized.

Ok, so all the points on the surface are at the same potential. What's the electric field between two points with the same potential?