On average, an electric water heater operates for 3.4h each day.

If the cost of electricity is $0.3 kWh, what is the cost of operating the heater during a 30-day month? The power of a typical electric water heater is 4500 W.
Cost= Dollars

What is the resistance of a typical water heater? The current requirements of a typical electric water heater is 37.5 A.

R = ohms

To calculate the cost of operating the water heater during a 30-day month, we need to determine the total energy consumed by the water heater and then multiply it by the cost of electricity.

First, let's calculate the energy consumed by the water heater in kilowatt-hours (kWh). The power of the water heater is 4500 W, and it operates for 3.4 hours each day.

Energy consumed per day = Power × Operating time
= 4500 W × 3.4 h
= 15300 Wh
= 15.3 kWh

Next, let's calculate the total energy consumed by the water heater in a 30-day month.

Total energy consumed in a month = Energy consumed per day × Number of days
= 15.3 kWh/day × 30 days
= 459 kWh

Now that we have the total energy consumed, we can calculate the cost of operating the water heater. The cost of electricity is $0.3 per kWh.

Cost = Total energy consumed × Cost of electricity
= 459 kWh × $0.3/kWh
= $137.7

Therefore, the cost of operating the water heater during a 30-day month is $137.7.

To calculate the resistance of the water heater, we can use Ohm's Law, which states that resistance (R) is equal to voltage (V) divided by current (I).

In this case, we are given the current requirements of the water heater, which is 37.5 A.

Resistance (R) = Voltage (V) / Current (I)

The resistance of the water heater can vary depending on the specific model, but without knowing the voltage, we cannot calculate the exact resistance.

However, I can provide the formula for calculating resistance using Ohm's Law, and if you have the voltage information, you can substitute it into the equation to find the resistance:

Resistance (R) = Voltage (V) / Current (I)

Please note that you would need to know the voltage to calculate the resistance accurately.

If expect college level credit for this physics course, you should be able to show us some effort.