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An electric motor takes $5 A$ from a $220 V$ ,, line. The power of the motor is [[1]] $Watts$ and the energy consumed in $2 hour$ is [[1]] $\times 10^{6} Joules$ .

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Detailed Solution

An electric motor takes

5 A

from a

220 V

line. The power of the motor is,

1100

W

and the energy consumed in

2 hour

7.92

\times 10^{6} J

.
It is known that the energy consumed (

E

) is given by the product of power (

P

) and time (

t

) and the power

(P)

of the electrical appliance is given by the product of the potential difference

(V)

and the current

(I)

flowing through it.
It is given that current

I = 5 A

, potential difference,

V = 220 V

and time

t = 2 h = 7200 s

Mathematically, the power

(P)

of the appliance is given by

P = VI

On substituting the given values, we get the power as

P = 220 \times 5

\Rightarrow P = 1100 W

Similarly, the energy consumed can be mathematically represented as

E = P \times t

On substituting the values, We get the energy consumed as

E = 1100 \times 7200

\Rightarrow E = 7.92 \times 10^{6} J

.
Hence, the power consumed by the motor is,

1100

W

and the energy consumed is

7.92 \times 10^{6} J

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