An electric heater connected to a…

Physics Questions

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

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-by-Step Solution

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.

Related Concepts

Power

The rate at which electrical energy is transferred or converted, measured in watts (w) or kilowatts (kw).

Energy consumption

The total amount of energy used over a specific period, typically expressed in kilowatt-hours (kwh).

Cost calculation

The process of determining the total expense incurred for energy usage based on the amount of energy consumed and the cost per unit of energy.

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