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

power = 142.4 W

Step-by-step 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 =
  `(V₁^(2))/(R)`

523.2 =
`(230^(2))/(R)`

R = 101.1

• While in America, also power =
  `(V₂^(2))/(R)`

using the value of R gotten above

power =
`(120^(2))/(101.1)`

power = 142.4 W