An apartment already consumes units (kWh) of electrical energy every month for…

PHYSICS · Multi-part · AP · Physics 2: Algebra-based · Electric Circuits · Electric Circuits

Problem

An apartment already consumes 100100 units (kWh) of electrical energy every month for lighting and other basic needs. The residents wish to install an immersion water heater that will be used for 1.5 h1.5\,\text{h} daily throughout the month. Electricity costs Rs 66 per kWh and the monthly budget for the total bill is limited to Rs 900900. (i) Calculate the maximum additional electrical energy (in kWh) that can be consumed by the water heater each month without exceeding the budget. (ii) Hence determine the highest possible power rating (in W) of the immersion heater that can be chosen. (iii) Would purchasing a 1500 W1500\,\text{W} immersion heater satisfy the budget constraint? Give a quantitative justification.

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