A hot plate of an electric oven connected to a220 v line has a two resistence coils a and b each of 24 ohms resistence,which may be used separately in series or parallel what are the current in all cases
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⛄ ᴘᴏᴛᴇɴᴛɪᴀʟ ᴅɪғғᴇʀᴇɴᴄᴇ, ᴠ = 220 ᴠ
ʀᴇsɪsᴛᴀɴᴄᴇ ᴏғ ᴇᴀᴄʜ ᴄᴏɪʟ, ʀ= 24 Ω
★ ᴄᴀsᴇ-1:-
ᴡʜᴇɴ ᴄᴏɪʟs ᴀ ᴀɴᴅ ʙ ᴀʀᴇ ᴜsᴇᴅ sᴇᴘᴀʀᴀᴛᴇʟʏ, ᴄᴜʀʀᴇɴᴛ ᴛʜʀᴏᴜɢʜ ᴇᴀᴄʜ ᴄᴏɪʟ,
ɪ = ᴠ/ʀ = 220/24 = 9.2 ᴀ
★ ᴄᴀsᴇ-2:-
ᴡʜᴇɴ ᴄᴏɪʟs ᴀ ᴀɴᴅ ʙ ᴀʀᴇ ᴄᴏɴɴᴇᴄᴛᴇᴅ ɪɴ sᴇʀɪᴇs, ᴛʜᴇ ᴇϙᴜɪᴠᴀʟᴇɴᴛ ʀᴇsɪsᴛᴀɴᴄᴇ ɪɴ ᴛʜᴇ ᴄɪʀᴄᴜɪᴛ.
ʀs = 24 + 24 = 48 Ω
ᴄᴜʀʀᴇɴᴛ, ɪ = ᴠ/ʀs = 220/48 = 4.6 ᴀ
★ ᴄᴀsᴇ-3:-
ᴡʜᴇɴ ᴄᴏɪʟs ᴀ ᴀɴᴅ ʙ ᴀʀᴇ ᴄᴏɴɴᴇᴄᴛᴇᴅ ɪɴ ᴘᴀʀᴀʟʟᴇʟ, ᴛʜᴇ ᴇϙᴜɪᴠᴀʟᴇɴᴛ ʀᴇsɪsᴛᴀɴᴄᴇ (ʀᴘ) ɪs ɢɪᴠᴇɴ ʙʏ
1/ʀᴘ = 1/24 + 1/24 = 2/24
ʀᴘ = 12 Ω
ᴄᴜʀʀᴇɴᴛ, ɪ = ᴠ/ʀᴘ = 220/12
= 18.3 ᴀ.
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