Use the expression f=q(v x b), to define the si unit of magnetic field
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The expression for magnetic field is,
F = q(vxB)
If v and B both are normal to each other, then F = qvB.
Now if q = 1, v = 1, then F = B
Hence, the magnetic field at a point is equal to the force which a unit charge experiences when it enters with unit velocity in a direction normal to the direction of the magnetic field at that point.
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ᴛʜᴇ ᴇxᴘʀᴇssɪᴏɴ ғᴏʀ ᴍᴀɢɴᴇᴛɪᴄ ғɪᴇʟᴅ ɪs,
ғ = ϙ(ᴠxʙ)
ɪғ ᴠ ᴀɴᴅ ʙ ʙᴏᴛʜ ᴀʀᴇ ɴᴏʀᴍᴀʟ ᴛᴏ ᴇᴀᴄʜ ᴏᴛʜᴇʀ, ᴛʜᴇɴ ғ = ϙᴠʙ.
ɴᴏᴡ ɪғ ϙ = 1, ᴠ = 1, ᴛʜᴇɴ ғ = ʙ
ʜᴇɴᴄᴇ, ᴛʜᴇ ᴍᴀɢɴᴇᴛɪᴄ ғɪᴇʟᴅ ᴀᴛ ᴀ ᴘᴏɪɴᴛ ɪs ᴇϙᴜᴀʟ ᴛᴏ ᴛʜᴇ ғᴏʀᴄᴇ ᴡʜɪᴄʜ ᴀ ᴜɴɪᴛ ᴄʜᴀʀɢᴇ ᴇxᴘᴇʀɪᴇɴᴄᴇs ᴡʜᴇɴ ɪᴛ ᴇɴᴛᴇʀs ᴡɪᴛʜ ᴜɴɪᴛ ᴠᴇʟᴏᴄɪᴛʏ ɪɴ ᴀ ᴅɪʀᴇᴄᴛɪᴏɴ ɴᴏʀᴍᴀʟ ᴛᴏ ᴛʜᴇ ᴅɪʀᴇᴄᴛɪᴏɴ ᴏғ ᴛʜᴇ ᴍᴀɢɴᴇᴛɪᴄ ғɪᴇʟᴅ ᴀᴛ ᴛʜᴀᴛ ᴘᴏɪɴᴛ.
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