The power goes out in your dorm. You want to run a spaceheater that uses 1500 Watts of power at a voltage of 120 V, so you run a 100 m long 14 gauge copper wire (d = 1.63 mm) to your friend's dorm room, which has not lost power. What effect will the added resistance of the wire have on the power that can be delivered to the spaceheater? (Calculate the power delivered to the space heater.) If your friend has to pay for their electricity at 11 cents per kilowatt hour, calculate how much you would have to pay them if you leave the spaceheater running for 14 hours. Your friend reminds you to include the power dissipated in the cord.
The power goes out in your dorm. You want to run a spaceheater that uses 1500 Watts of power at a voltage of 120 V, so you run a 100 m long 14 gauge copper wire (d = 1.63 mm) to your friend's dorm room, which has not lost power. What effect will the added resistance of the wire have on the power that can be delivered to the spaceheater? (Calculate the power delivered to the space heater.) If your friend has to pay for their electricity at 11 cents per kilowatt hour, calculate how much you would have to pay them if you leave the spaceheater running for 14 hours. Your friend reminds you to include the power dissipated in the cord.
Given data
The capacity of the space heater is P = 1500 W
The potential difference is V = 120 V
The length of the wire is L = 100 m
The diameter of the wire is d = 1.63 mm = 1.63 x 10-3 m
The rate of the electricity is x = 11 cents/KWH
The duration of the current is t = 14 hours
Trending now
This is a popular solution!
Step by step
Solved in 2 steps
