Why there is no charge inside a metal sphere?
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ᴛʜᴇ ᴄʜᴀʀɢᴇ Q ᴀʟᴡᴀʏꜱ ꜱᴛᴀʏꜱ ᴏɴ ᴛʜᴇ ꜱᴜʀꜰᴀᴄᴇ ᴏꜰ ᴍᴇᴛᴀʟꜱ ʙᴇᴄᴀᴜꜱᴇ ᴀɴʏ ɴᴇᴛ ᴄʜᴀʀɢᴇ ʀᴇꜱɪᴅᴇꜱ ᴏɴ ᴛʜᴇ ꜱᴜʀꜰᴀᴄᴇ. ꜱᴏ ᴛʜᴇʀᴇ ɪꜱ ɴᴏ ᴄʜᴀʀɢᴇ ᴅᴇɴꜱɪᴛʏ ɪɴꜱɪᴅᴇ ᴛʜᴇ ᴍᴇᴛᴀʟ ꜱᴘʜᴇʀᴇ. ɪ.ᴇ. Ρ = 0. ꜱᴏ ᴀᴘᴘʟʏɪɴɢ ɢᴀᴜꜱꜱ'ꜱ ʟᴀᴡ ᴡᴏᴜʟᴅ ɢɪᴠᴇ ʏᴏᴜ: ᴇ=0.
ɢɴ... ꜱᴡᴇᴇᴛ ᴅʀᴇᴀᴍꜱ ♥️
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The Charge Q always stays on the surface of metals because any net charge resides on the surface. So there is no charge density inside the metal sphere. i.e. ρ = 0. So applying Gauss's Law would give you: E=0
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