Question

A color television uses about 3.0 A when operated on 120 V. If the TV is operated for 8.00 hours per day, how much energy in kWh does it use per day?

Note: 1 kWh = 3.6×106 J

Group of answer choices

2.88 kWh

1.44 kWh

8 kWh

1.92 kWh

Answer 1

To calculate the energy used by the television in kilowatt-hours (kWh), we can use the formula:

\[
\text{Energy (kWh)} = \text{Power (kW)} \times \text{Time (hours)}
\]

First, we need to calculate the power consumed by the TV in kilowatts. Power (in watts) can be calculated using the formula:

\[
\text{Power (W)} = \text{Voltage (V)} \times \text{Current (A)}
\]

Given that the television operates at 120 V and uses 3.0 A, we can calculate the power:

\[
\text{Power (W)} = 120 \, \text{V} \times 3.0 \, \text{A} = 360 \, \text{W}
\]

Now, convert this power to kilowatts:

\[
\text{Power (kW)} = \frac{360 \, \text{W}}{1000} = 0.36 \, \text{kW}
\]

Next, we apply the time the TV is operated, which is 8.00 hours per day:

\[
\text{Energy (kWh)} = 0.36 \, \text{kW} \times 8.00 \, \text{hours} = 2.88 \, \text{kWh}
\]

Thus, the energy used by the color television per day is:

\[
\boxed{2.88 \, \text{kWh}}
\]