why don't two magnetic field lines of force intersect each other
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If magnetic field lines intersect each other then the magnetic field (magnetic field lines) will have two different directions at that point. This is not possible. So they don't intersect.
No, two magnetic lines of force never intersect each other. If two magnetic lines of force intersect each other than at the point of intersection there will be two different directions of magnetic field which is not possible.
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ᴛʜᴇ ᴛᴡᴏ ᴍᴀɢɴᴇᴛɪᴄ ғɪᴇʟᴅ ʟɪɴᴇs ᴅᴏ ɴᴏᴛ ɪɴᴛᴇʀsᴇᴄᴛ ᴇᴀᴄʜ ᴏᴛʜᴇʀ ʙᴇᴄᴀᴜsᴇ ɪғ ᴛʜᴇʏ ᴅᴏ ɪᴛ ᴍᴇᴀɴs ᴀᴛ ᴛʜᴇ ᴘᴏɪɴᴛ ᴏғ ɪɴᴛᴇʀsᴇᴄᴛ ᴛʜᴇ ᴄᴏᴍᴘᴀss ɴᴇᴇᴅʟᴇ ɪs sʜᴏᴡɪɴɢ ᴛᴡᴏ ᴅɪғғᴇʀᴇɴᴛ ᴅɪʀᴇᴄᴛɪᴏɴs ᴡʜɪᴄʜ ɪs ɴᴏᴛ ᴘᴏssɪʙʟᴇ.
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