Question Details

A device operates at 2 amperes current and 220 volts potential difference for 5 hours. How much electrical energy does it consume, expressed in kilowatt hours (kWh)?

Options

A

2.2 kWh

B

0.22 kWh

C

5 kWh

D

1.1 kWh

Show Answer

Correct Answer :

Option A

2.2 kWh

Solution :

The correct option is 2.2 kWh.

To find the electrical energy consumed by the device, we can follow these steps:

Step 1: Identify the given values
Current (I) = 2 amperes (A)
Potential difference (V) = 220 volts (V)
Time (t) = 5 hours (h)

Step 2: Calculate the electrical power in watts (W)
Power (P) is the product of voltage and current:

P=V×I

Substitute the given values into the formula:

P=220 V×2 A=440 W

Step 3: Convert power from watts (W) to kilowatts (kW)
Since 1 kilowatt (kW) = 1000 watts (W), we divide the power by 1000:

P=4401000 kW=0.44 kW

Step 4: Calculate the total electrical energy consumed in kilowatt-hours (kWh)
Energy (E) is the product of power and time:

E=P×t

Substitute the values of power in kW and time in hours:

E=0.44 kW×5 h=2.2 kWh

Therefore, the device consumes 2.2 kWh of electrical energy.

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