Question

A (11.4 A) ohm device is connected to a 115 V outlet. If the cost of the electrical energy is $0.16/kWh, determine the cost of running this device for (36.0 B) hours. Round your answer in dollars ($) with 2 decimal places.

Answer 1

$6.68

Step-by-step explanation:

The current running through the device would be its outlet voltage divided by the resistance:

I = U/R = 115 / 11.4 = 10.09 A

The power generated by this device is the product of its current and voltage

P = IU = 10.09 * 115 = 1160 W or 1.16 kW

If running this device for 36 hours then the total energy it would consume is

E = Pt = 1.16 * 36 = 41.76 kWh

Therefore the total cost of electrical energy is

C = Ec = 41.76*0.16 = $6.68