Physics, asked by Lathish2004, 11 months ago

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

Answered by Anonymous
2

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.

Answered by Arcel
4

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.

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