Short Answer
To calculate the power of an electric heater, multiply the voltage (220V) by the current (10A) to get 2200 watts or 2.2 kW. Over 240 hours of usage, the total energy consumed is 528 kWh, costing Rs. 2640 at a rate of Rs. 5.00 per kWh.
Step 1: Calculate the Power of the Electric Heater
To determine the power of the electric heater, utilize the formula: Power (P) = Voltage (V) √ó Current (I). Insert the values into the formula provided. For this case:
- Voltage (V) = 220 volts
- Current (I) = 10 amperes
Thus, Power (P) becomes 220 √ó 10 = 2200 watts. To express this in kilowatts, convert it by dividing by 1000, resulting in 2.2 kW.
Step 2: Calculate the Total Energy Consumption
To find the total energy consumption over a specified time, use the formula: Energy (kWh) = Power (kW) √ó Time (hours). Assess the time spent using the heater:
- Usage = 8 hours a day for 30 days
This leads to a total of 240 hours. Now, compute the total energy consumed as follows: Energy (kWh) = 2.2 √ó 240 = 528 kWh.
Step 3: Calculate the Total Cost
The final step involves calculating the cost of using the heater. The formula is: Cost = Energy (kWh) √ó Cost per kWh. Given the cost per kilowatt-hour:
- Cost per kWh = Rs. 5.00
Substituting the values yields: Cost = 528 √ó 5 = 2640 Rs. Thus, the total cost of using the heater for the specified period is recorded as Rs. 2640.