Question

A 523.2-W space heater is designed for operation in Germany, where household electrical outlets supply 230 V (rms) service. What is the power output of the heater when plugged into a 120-V (rms) electrical outlet in a house in the United States

Answer 1

Answer:

power = 142.4 W

Explanation:

power of heater in Germany (P₁) = 523.2 W

power of heater in America (P₂) = ?

outlet voltage in Germany (V₁) = 230 V

outlet voltage in America (V₂) = 120 V

• While in Germany, power = $\frac{V₁^{2}}{R}$

         523.2 = $\frac{230^{2}}{R}$

         R = 101.1

• While in America, also power = $\frac{V₂^{2}}{R}$

         using the value of R gotten above

         power = $\frac{120^{2}}{101.1}$

        power = 142.4 W