Calculate Vector Field Flux Through Sphere S of Radius 1

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Homework Help Overview

The discussion revolves around calculating the flux of a vector field through a sphere of radius 1. The vector field is defined, and the problem involves evaluating a surface integral over the sphere.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • Participants discuss the need to calculate a surface integral and express uncertainty about the necessary mathematical background, specifically multivariable calculus.

Discussion Status

Some participants are exploring the requirements for solving the problem, with one noting a lack of familiarity with multivariable calculus. Others suggest that the problem may not require advanced calculus techniques, prompting further inquiry into the nature of the vector field on the sphere.

Contextual Notes

There is mention of the original poster's limited experience with multivariable calculus, which may impact their approach to the problem. Additionally, assumptions about the complexity of the calculations involved are being questioned.

michael892
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Given is vector field
\overrightarrow{C}(\overrightarrow{r})=r
calculate flux
\Phi =\int_{S} \overrightarrow{C}\cdot d\overrightarrow{A}
through sphere S with beginning in [0,0,0] and r=1
 
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welcome to pf!

hi michael892! welcome to pf! :wink:

show us what you've tried, and where you're stuck, and then we'll know how to help! :smile:
 
i know i had to calculate surface integral but i didnt have multivariable calculus yet
 
hih michael892! :smile:

(just got up :zzz:)
michael892 said:
i know i had to calculate surface integral but i didnt have multivariable calculus yet

you won't need calculus, it's not complicated enough for that

what is r.dn on a sphere of radius r ? :wink:

(where n is the outward normal unit vector)
 

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