an electric motor takes 5 ampere from a 220 V line. determine the power and energy consumedin 2 hrs
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Explanation:
Given :-
Current in the motor = 5 ampere
Potential difference = 220 V
Time = 2 hours
To Find :-
The power of the motor and the energy consumed.
Formula to be sued :-
Power of the motor = V × I
Energy = power × time
Solution :-
Putting all the values, we get
Power of the motor = V × I
Power of the motor = 220 × 5
Power of the motor = 1100 watt or 1.1 kW
Hence, the power of the motor is 1100 watt or 1.1 kW.
Now, Energy = power × time
Energy = 1.1 kWh × 2 h.
Energy = 2.2 kWh
Hence, the energy consumed in 2 hour is 2.2 kWh.
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GIVEN
- Voltage (V) = 220 V
- Current (I) = 5 A
- Time (t) = 2 h = 2 x 60 x 60 = 7200 s
FORMULA TO BE USED
- P = V × I
- Energy consumed by the motor = P x t
POWER CALCULATION
- P = 220 x 5
- P = 1100 W
ENERGY CALCULATION
- E = 1100 x 7200
- E = 7.92 x 10⁶ J
RESULTS
- Power of the motor = 1100 W
- Energy consumed by the motor = 7.92 x 10⁶ J
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