An electric appliance produces 120000 J heat energy in one minute. find its power
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Answer:
W=120000J
t= 1min =60s
P=?
Explanation:
P=w/t
P=120000/60
P=2000 J
* 1KJ =1000J
P=2KJ
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The power produced by the electrical appliance is 2KJ.
- An electrical appliance runs on electricity and thus since some amount of current is passed in-order for the device to run.
- This means that there will be some amount of work done for the continuous flow of electrons to produce the current.
- The device will correspondingly produce some amount of heat energy as a result.
- This means that for an electrical appliance to run the electrical energy gets converted into heat energy produced.
- The input would be the electricity which can be converted into many forms based on the requirement or the device.
- Here, the electrical energy is given to be converted into heat energy measured in Joules.
- The amount of electrical energy of an appliance is dependent on the power quantity and the duration of time it is switched on or running.
- By definition, the work done is given by the amount of force applied over a given distance. But in this case work done will be equivalent to the heat energy consumed.
- This is because the energy is said to be a quantity that is stored for future use and even if not fully, the work done is one that can be converted into heat energy. This can be seen from the work energy theorem as well.
- Now, we know that the heat energy is equivalent to the work done is given as 120000 J. The amount of time taken to produce this energy is given as 1 minute which is 60 seconds.
- The power is a quantity that is given as the amount of work done by the time taken to carry out this work, that is, the time duration spent on producing this energy.
Thus, we have the formula given as:
Where,
P is the power
W is the work done in Joules (J)
t is the time taken (s)
Here,
By substituting the values we have:
Power is generally given in the unit kilo-joules (kJ) so hence by converting we have:
Thus the total power consumed is given as 2 kJ.
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