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the current flowing in an appliance connected to a 120V source is 2A. How many kilowatt-hours of electrical energy does the appliance use in 4h

Respuesta :

Answer:

0.96 kWh

Explanation:

First of all, we can find the power of the appliance using the formula:

[tex]P=VI[/tex]

where

V = 120 V is the voltage of the source

I = 2 A is the current

Substituting,

[tex]P(120 V)(2 A)=240 W = 0.24 kW[/tex]

Now we want to find the amount of energy used by the applied in a time of

t = 4 h

The amount of energy is given by

[tex]E=Pt[/tex]

where

P = 0.24 kW

t = 4 g

Substituting,

[tex]E=(0.24 kW)(4 h)=0.96 kWh[/tex]

In this case, 960 kilowatt-hours of electrical energy are consumed in 4 hours.

What are kilowatt hours?

The term kilowatt-hours is a measure that refers to the amount of electrical energy consumes in one hour.

In this case, we have:

  • V = 120V and I = 2A

In one hour,

  • W = I x V = 2 x 120 >> W = 240

Therefore,

  • W = 240 x 4 hours >> W = 960 kilowatt-hours

In conclusion, in this case, 960 kilowatt-hours of electrical energy are consumed in 4 hours.

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