# How is the luminosity of the sun determined?

Oct 23, 2015

$L$ = $3.79$ x ${10}^{26}$Watts

#### Explanation:

The Formula for Flux of an Object received at Earth is:

$F = \frac{L}{4. \pi . {D}^{2}}$

Where,

F is the Flux
L is the Luminosity of the Object
D is the Distance to that object

Rearrange the Formula to get the Luminosity

$L = F .4 . \pi . {D}^{2}$

Flux Received from the Sun is 1343 $\frac{W}{m} ^ 2$
D is the Distance = 1 AU or 150 Million Kms = $150$ x ${10}^{6}$

$L = 1343 . 4 . 3.142 . {\left(1.5 x {10}^{11}\right)}^{2}$
$L$ = $3.79$ x ${10}^{26}$Watts