# Stefan's Law to find temperature

1. Sep 29, 2008

### Laconic

Well I have a problem where I have calculated the power in watts, and I know the surface area and emissivity, so I am trying to calculate the temperature using Stefan's Law. So here is my question, and this is basically reassurance. The temperature from the equation is to the 4th power so when I take the Power over Stefan's constant * Surface Area * Emissivity do I then go and take it to the 1/4th power. I think I have just confused myself, and the reason I am questioning it is that I get a huge difference in what my answer should be. This may be in part to a 94% error on my power calculation, but I am measuring the temperature of the sun. Any guidance is appreciated.

Thanks.

2. Sep 29, 2008

### buffordboy23

Yes. In general,

$$A = X^{n} \rightarrow X = A^{\frac{1}{n}}$$