The emf produced in a generator depends on the rate of change of magnetic flux related to the armature coil.
What are the factors that influence the rate of change of magnetic flux?
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Answer:
ᴛʜᴇ ғᴀʀᴀᴅᴀʏ's ʟᴀᴡs ᴏғ ᴇʟᴇᴄᴛʀᴏᴍᴀɢɴᴇᴛɪᴄ ɪɴᴅᴜᴄᴛɪᴏɴ sᴀʏs ᴛʜᴀᴛ ᴛʜᴇ ᴇ.ᴍ.ғ. ɪɴᴅᴜᴄᴇᴅ ɪɴ ᴀ ᴄᴏɪʟ 'ᴇ' = -(ʀᴀᴛᴇ ᴏғ ᴄʜᴀɴɢᴇ ᴏғ ᴍᴀɢɴᴇᴛɪᴄ ғʟᴜx ʟɪɴᴋᴀɢᴇ)
ᴡʜᴇʀᴇ,
ᴛʜᴇ ғʟᴜx ʟɪɴᴋᴀɢᴇ =ɴᴜᴍʙᴇʀ ᴏғ ᴛᴜʀɴs ′ɴ×ᴍᴀɢɴᴇᴛɪᴄғɪᴇʟᴅ ′ ʙ ' ×ᴀʀᴇᴀ ′ ᴀ ′ ×ᴄᴏsθ ᴡʜᴇʀᴇ,
ᴛʜᴇᴛᴀ ɪs ᴀɴɢʟᴇ ʙᴇᴛᴡᴇᴇɴ ᴍᴀɢɴᴇᴛɪᴄ ғɪᴇʟᴅ ʙ ᴀɴᴅ ᴀʀᴇᴀ ᴀ.
ᴛʜᴇᴛᴀ ᴀᴛ ᴀɴʏ ɪɴsᴛᴀɴᴛ 'ᴛ'=(ᴀɴɢᴜʟᴀʀ ᴠᴇʟᴏᴄɪᴛʏ ᴡ)×(ᴛɪᴍᴇ ɪɴsᴛᴀɴᴛ ′ ᴛ ′ ). ᴛʜᴀᴛ ɪs, ᴛʜᴇᴛᴀ = ᴡ×ᴛ.
ᴇ.ᴍ.ғ. ɪɴᴅᴜᴄᴇᴅ ɪɴ ᴀ ᴄᴏɪʟ 'ᴇ'=ɴ×ʙ×ᴀ×ᴡ×sɪɴᴡ×ᴛ.
ᴛʜᴇ ғᴀᴄᴛᴏʀs ɪɴᴠᴏʟᴠᴇᴅ ɪɴ ᴛʜᴇ ɪɴᴅᴜᴄᴇᴅ ᴇᴍғ ᴏғ ᴀ ᴄᴏɪʟ ᴀʀᴇ:
ᴛʜᴇ ɪɴᴅᴜᴄᴇᴅ ᴇ.ᴍ.ғ. ɪs ᴅɪʀᴇᴄᴛʟʏ ᴘʀᴏᴘᴏʀᴛɪᴏɴᴀʟ ᴛᴏ ɴ, ᴛʜᴇ ᴛᴏᴛᴀʟ ɴᴜᴍʙᴇʀ ᴏғ ᴛᴜʀɴs ɪɴ ᴛʜᴇ ᴄᴏɪʟ.
ᴛʜᴇ ɪɴᴅᴜᴄᴇᴅ ᴇ.ᴍ.ғ. ɪs ᴅɪʀᴇᴄᴛʟʏ ᴘʀᴏᴘᴏʀᴛɪᴏɴᴀʟ ᴛᴏ ᴀ, ᴛʜᴇ ᴀʀᴇᴀ ᴏғ ᴄʀᴏss-sᴇᴄᴛɪᴏɴ ᴏғ ᴛʜᴇ ᴄᴏɪʟ.
ᴛʜᴇ ɪɴᴅᴜᴄᴇᴅ ᴇ.ᴍ.ғ. ɪs ᴅɪʀᴇᴄᴛʟʏ ᴘʀᴏᴘᴏʀᴛɪᴏɴᴀʟ ᴛᴏ ʙ, ᴛʜᴇ sᴛʀᴇɴɢᴛʜ ᴏғ ᴛʜᴇ ᴍᴀɢɴᴇᴛɪᴄ ғɪᴇʟᴅ ɪɴ ᴡʜɪᴄʜ ᴛʜᴇ ᴄᴏɪʟ ɪs ʀᴏᴛᴀᴛɪɴɢ.
ᴛʜᴇ ɪɴᴅᴜᴄᴇᴅ ᴇ.ᴍ.ғ. ɪs ᴅɪʀᴇᴄᴛʟʏ ᴘʀᴏᴘᴏʀᴛɪᴏɴᴀʟ ᴛᴏ 'ᴡ', ᴛʜᴇ ᴀɴɢᴜʟᴀʀ ᴠᴇʟᴏᴄɪᴛʏ ᴏғ ᴄᴏɪʟ.
ᴛʜᴇ ɪɴᴅᴜᴄᴇᴅ ᴇ.ᴍ.ғ. ᴀʟsᴏ ᴠᴀʀɪᴇs ᴡɪᴛʜ ᴛɪᴍᴇ ᴀɴᴅ ᴅᴇᴘᴇɴᴅs ᴏɴ ɪɴsᴛᴀɴᴛ 'ᴛ'.
ᴛʜᴇ ɪɴᴅᴜᴄᴇᴅ ᴇ.ᴍ.ғ. ɪs ᴍᴀxɪᴍᴜᴍ ᴡʜᴇɴ ᴘʟᴀɴᴇ ᴏғ ᴄᴏɪʟ ɪs ᴘᴀʀᴀʟʟᴇʟ ᴛᴏ ᴍᴀɢɴᴇᴛɪᴄ ғɪᴇʟᴅ ʙ ᴀɴᴅ ᴇ.ᴍ.ғ. ɪs ᴢᴇʀᴏ ᴡʜᴇɴ ᴘʟᴀɴᴇ ᴏғ ᴄᴏɪʟ ɪs ᴘᴇʀᴘᴇɴᴅɪᴄᴜʟᴀʀ ᴛᴏ ᴍᴀɢɴᴇᴛɪᴄ ғɪᴇʟᴅ ʙ.
Explanation:
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