# Energy and Current

1. ### roam

996
1. The problem statement, all variables and given/known data

What is the total energy dissipated as heat in a resistor of resistance R = 80.0 Ω when a current of I = 0.09 A passes through it for 1 minute?

2. Relevant equations

3. The attempt at a solution

From the given values I can work out the potential difference, but I'm stuck here because I don't know what formula to use with energy in it. But I know that electric power can be found from P=IV=I2R, but I don't know how this helps to find energy. Of course I know that $$P=\frac{dU}{dt}$$, but I don't see how to solve for the energy...

2. ### kjohnson

157
It seems you have the answer hiding right in front of you...

If you know that the power drop across a resistor is (I^2)(R) then you can calculate that given the values.

Next if you assume that it drops all that power through heat 'U' over that 1min and you know that P=U/t then...