Question

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

Answer 1

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Answer 2

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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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