A 1500-W baseboard heater runs on 240 mathrm(~V) . 16 a) What is the resistance of the baseboard heater? Answer: b) If the baseboard heater is on for an average of six hours per day, how much energy, in KWh, will it use in a week? Answer:

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Answer 1

To solve the problem, let's break it into two parts:---### **Part (a): Resistance of the baseboard heater**We are given:- Power (

) = 1500 W- Voltage (

) = 240 VThe formula for power in terms of resistance is:

Rearranging to solve for

(resistance):

Substitute the given values:

So, the resistance of the baseboard heater is:

---### **Part (b): Energy usage in a week**We are given:- Power (

) = 1500 W- Time per day = 6 hours- Number of days in a week = 7First, calculate the total time the heater is on in a week:

Next, calculate the energy used in kilowatt-hours (kWh). Recall that:

Convert the power from watts to kilowatts:

Now calculate the energy:

So, the energy used in a week is:

---### Final Answers:(a) Resistance of the baseboard heater:

(b) Energy used in a week:

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