An electric heater connected to a 220 V generator draws a current of 10 A. What is the power of the electric heater? If it is used for 8 hours a day, calculate the total cost of using it for 30 days at Rs. 5.00 per 1 kWh.

Physics Questions

An electric heater connected to a 220 V generator draws a current of 10 A. What is the power of the electric heater? If it is used for 8 hours a day, calculate the total cost of using it for 30 days at Rs. 5.00 per 1 kWh.

Short Answer

The power of the electric heater is calculated to be 2.2 kW, with a total energy consumption of 528 kWh over 30 days. This results in a total cost of Rs. 2640 for usage, based on a rate of Rs. 5.00 per kWh.

Step-by-Step Solution

Step 1: Calculate the Power of the Electric Heater

To find the power of the electric heater, use the formula: Power (P) = Voltage (V) ‚àöo Current (I). For this heater, with a voltage of 220 volts and a current of 10 amperes, substitute the values:

Power (P) = 220 ‚àöo 10 = 2200 watts
Convert to kilowatts: 2200 watts = 2.2 kilowatts (kW)

Step 2: Calculate the Total Energy Consumption

Calculate the energy consumption over time using the formula: Energy (kWh) = Power (kW) ‚àöo Time (hours). The heater is used for 8 hours daily over 30 days, totaling:

Total hours = 8 hours/day ‚àöo 30 days = 240 hours
Now calculate energy consumed: Energy (kWh) = 2.2 kW ‚àöo 240 hours = 528 kWh

Step 3: Calculate the Total Cost

To find the cost of using the heater, multiply the total energy consumption by the cost per kWh. Here, the cost per kWh is Rs. 5.00:

Cost = Energy (kWh) ‚àöo Cost per kWh
Substituting the values: Cost = 528 ‚àöo 5 = Rs. 2640

An electric heater connected to a 220 V generator draws …