What would be the resistance of an electric kettle rated at 1500 W at 120 volts?

To find the resistance of the electric kettle, you can use Ohm’s Law and the power formula. The power (P) can be related to voltage (V) and resistance (R) with the following formula:

P = V^2 / R

Rearranging this formula to solve for resistance gives:

R = V^2 / P

Substituting the given values:

• Power (P) = 1500 watts

• Voltage (V) = 120 volts

Now, calculate R:

R = (120 volts)^2 / 1500 watts

R = 14400 volts² / 1500 watts

R = 9.6 ohms

This shows that the resistance of the electric kettle at 1500 W and 120 V is indeed 9.6 ohms, confirming that this option is correct. This result highlights the relationship between power, voltage, and resistance, demonstrating that as power increases with a constant voltage supply, the resistance will be calculated accordingly.