Question

an electric motor takes 5A from 220V line. Determine the power of the motor and the energy consumed in 2hours​

Answer 1

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• $\rm\:Current\:(I)=5\:A$

• $\rm\:Voltage\:(v)=220\:v$

• $\rm\:Time\:(t)=2\:h$

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• Power of the moter and energy consumed

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we know that,

✭ $\pink{\underline{\boxed{\bf{P=V\times\:I}}}}$

$\rm\longrightarrow\:p=220\times\:5$

$\rm\longrightarrow\:p=1100\:W$

Thus,the power of the moter is 1100 watts.

Now,

• $\rm\:Power\:(p)=1100\:W$

• $\rm\:Time\:(t)=2\:h\:\:\:\:(given)$

• $\rm\:Time\:(t)=2\times\:60\times\:60\:sec$

• $\rm\:Time\:(t)=7200\:sec$

We know that,

✭ $\pink{\underline{\boxed{\bf{E=p\times\:t}}}}$

$\rm\longrightarrow\:E=1100\times\:7200$

$\rm\longrightarrow\:E=7.92\times\:{10}^{6}\:J$

Thus,the energy consumed is 7.92 × 10⁶ joules.

Answer 2

Given ,

Current (I) = 5 amp

Potential difference (v) = 220 v

Time (t) = 2 hr or 7200 sec

We know that ,

Electric power is defined as the product of potential difference and current

$\sf \large \fbox{P = VI}$

Thus ,

$\sf \Rightarrow P = 220 \times 5 \\ \\ \sf \Rightarrow P = 1100 \: \: watt$

$\therefore \sf \bold{ \underline{The \: electri c \: power \: is \: 1100 \: \: w}}$

Now ,

The rate at which electric energy is consumed in a circuit is also known as electric power

$\large \sf\fbox{P = \frac{Electric \: energy}{t} }$

Thus ,

$\sf \Rightarrow Electric \: energy = 1100 \times 7200 \\ \\ \sf \Rightarrow Electric \: energy =7.92 \times {(10)}^{6} \: \: joule$

$\therefore \sf \bold{ \underline{The \: electri c \: energy \: is \: 7.92 \times {(10)}^{6} \: \: j}}$