Question

If the total resistance of an air conditioner is 25.4 Ω and it is using energy at a rate of 2083 W, on what voltage is it operating?

Answer 1

One of the formulas for calculating electrical power is

Power = (voltage)² / (resistance)

Since this problem wants us to find the voltage, let's
re-arrange the formula.
Multiply each side by (resistance):

(Voltage)² = (power) x (resistance)

Take the square root of each side:

Voltage = √ (power x resistance)

THERE's the formula we can use to find the voltage for this problem.

Voltage = √ (2,083 W x 25.4 Ω)

Voltage = √ (52,908.2 W-Ω )

Voltage = 230 volts