Question

You leave your 75 W portable color TV on for 6 hours each day and you do not pay attention to the cost of electricity. If the dorm (or your parents) charged you for your electricity use and the cost was $0.3 /kW · h, what would be your monthly (30 day) bill?Answer in units of dollars.

Answer 1

To calculate the monthly cost of electricity for a portable TV, convert the power to kilowatts, multiply by daily usage, then by the number of days in a month, and finally by the cost per kWh. The monthly bill for a 75 W TV used 6 hours a day at a rate of $0.3/kWh is $4.05.

Step-by-step explanation:

Calculating Monthly Cost of Electricity for a Portable TV

First, we need to convert the power consumed by the TV from watts to kilowatts (kW):

75 W = 0.075 kW

Next, we calculate the energy used each day by multiplying the power consumption (in kW) by the time the TV is on (in hours):

Daily energy consumption = 0.075 kW × 6 h/day = 0.45 kWh/day

To find the monthly energy consumption, we multiply the daily consumption by 30 days:

Monthly energy consumption = 0.45 kWh/day × 30 days = 13.5 kWh/month

Finally, to calculate the monthly bill, we multiply the monthly energy consumption by the cost of electricity (in dollars per kWh):

Monthly bill = 13.5 kWh/month × $0.3/kWh = $4.05/month

The student's monthly electric bill for the portable TV would be $4.05.

Answer 2

Total bill will be $4.05

Step-by-step explanation:

We have given that the power of the color TV P = 75 watt

It is daily used for 6 hours for 30 days

So total time t = 30×6 = 180 hour

We know that energy is given by
`Energy=power* time`

So energy
`E=75* 180=13500=13.5KWH`

We have given cost per kWh = $0.3

So total cost = 0.3×13.5 = $4.05

So total bill will be $4.05