An electric motor takes 5 A from a 220 V line. Determine the power of the motor and the energy consumed in 2 hours .
Answers
ɢɪᴠᴇɴ :-
ᴄᴜʀʀᴇɴᴛ ɪɴ ᴛʜᴇ ᴍᴏᴛᴏʀ = 5 ᴀᴍᴘᴇʀᴇ
ᴘᴏᴛᴇɴᴛɪᴀʟ ᴅɪғғᴇʀᴇɴᴄᴇ = 220 ᴠ
ᴛɪᴍᴇ = 2 ʜᴏᴜʀs
ᴛᴏ ғɪɴᴅ :-
ᴛʜᴇ ᴘᴏᴡᴇʀ ᴏғ ᴛʜᴇ ᴍᴏᴛᴏʀ ᴀɴᴅ ᴛʜᴇ ᴇɴᴇʀɢʏ ᴄᴏɴsᴜᴍᴇᴅ.
ғᴏʀᴍᴜʟᴀ ᴛᴏ ʙᴇ sᴜᴇᴅ :-
ᴘᴏᴡᴇʀ ᴏғ ᴛʜᴇ ᴍᴏᴛᴏʀ = ᴠ × ɪ
ᴇɴᴇʀɢʏ = ᴘᴏᴡᴇʀ × ᴛɪᴍᴇ
sᴏʟᴜᴛɪᴏɴ :-
ᴘᴜᴛᴛɪɴɢ ᴀʟʟ ᴛʜᴇ ᴠᴀʟᴜᴇs, ᴡᴇ ɢᴇᴛ
ᴘᴏᴡᴇʀ ᴏғ ᴛʜᴇ ᴍᴏᴛᴏʀ = ᴠ × ɪ
ᴘᴏᴡᴇʀ ᴏғ ᴛʜᴇ ᴍᴏᴛᴏʀ = 220 × 5
ᴘᴏᴡᴇʀ ᴏғ ᴛʜᴇ ᴍᴏᴛᴏʀ = 1100 ᴡᴀᴛᴛ ᴏʀ 1.1 ᴋᴡ
ʜᴇɴᴄᴇ, ᴛʜᴇ ᴘᴏᴡᴇʀ ᴏғ ᴛʜᴇ ᴍᴏᴛᴏʀ ɪs 1100 ᴡᴀᴛᴛ ᴏʀ 1.1 ᴋᴡ.
ɴᴏᴡ, ᴇɴᴇʀɢʏ = ᴘᴏᴡᴇʀ × ᴛɪᴍᴇ
ᴇɴᴇʀɢʏ = 1.1 ᴋᴡʜ × 2 ʜ.
ᴇɴᴇʀɢʏ = 2.2 ᴋᴡʜ
ʜᴇɴᴄᴇ, ᴛʜᴇ ᴇɴᴇʀɢʏ ᴄᴏɴsᴜᴍᴇᴅ ɪɴ 2 ʜᴏᴜʀ ɪs 2.2 ᴋᴡʜ.
3.96 x 10^3 Kilo Joules
Given:
Current that the electric motor takes = 5 Amperes
Voltage = 220 Volts
Time Taken = 2 hours
Converting into seconds:
= 2 x 60 x 60
= 3600 seconds
To Find:
Energy Consumed
Calculating:
Formula used to calculate Power:
Power = Voltage x Current
Substituting values known to us in this formula we get:
Power = 220 x 5
Power = 1100 Watts
Formula used to calculate Energy:
Energy = Power x Time
Substituting values known to us in this formula we get:
= 1100 x 2 x 3600
= 3960000
We can write it as:
= 3.96 x 10^6 Joules
Converting into kilo joules by multiplying by 10^-3:
= 3.96 x 10^6 - 3
= 3.96 x 10^3 Kilo Joules
Therefore, 3.96 x 10^3 Kilo Joules is the energy that is consumed.