- #1
alpine_steer
- 4
- 0
I have the following integral:
## \oint_{S}^{ } f(\theta,\phi) \hat \phi \; ds ##Where s is a sphere of radius R.so ds = ##R^2 Sin(\theta) d\theta d\phi ##
Where ds is a scalar surface element. If I was working in Cartesian Coordinates I know the unit vector can be pulled out of integral and I can be on my way. But as ##\phi## changes as I move around the surface I am not sure how to account for this. is it a simple as including an additional ##R \; Sin(\theta)## in the integral?
## \oint_{S}^{ } f(\theta,\phi) \hat \phi \; ds ##Where s is a sphere of radius R.so ds = ##R^2 Sin(\theta) d\theta d\phi ##
Where ds is a scalar surface element. If I was working in Cartesian Coordinates I know the unit vector can be pulled out of integral and I can be on my way. But as ##\phi## changes as I move around the surface I am not sure how to account for this. is it a simple as including an additional ##R \; Sin(\theta)## in the integral?