# Ohmic Resistance with watts

## Homework Statement

A typical electric blanket consumes 50 W of power when operating. What is the overall resistance of the blanket if it is designed to be plugged into a standard powerpoint?
Power = 50 watts
Voltage = 240 v (standard powerpoint)

## Homework Equations

I (current) = Voltage/ Resistance
Power = V x I

## The Attempt at a Solution

So we are trying to find the overall resistance:
R = V/I
R = 240/I
P/V = I ?
50/240 = I ?
I = 0.2083333 (I don't think that looks right)
So then, R= 240/0.2083333
R= 1152??
Resistance is 1152 ohms?
These answers seem very strange to me and I am uncertain as to whether my logic is sound or not.
If my logic is incorrect, could someone inform me of the logic of the correct way? Thanks!

mfb
Mentor
It is correct.
Why does it seem strange to you?

• Johny Prime
It is correct.
Why does it seem strange to you?
I wasn't sure because all the questions I had done before this had very small resistance (like 6), and I wasn't sure what an actual appliance might have in terms of resistance. Thanks for the confirmation!