radius-r-circle-x-2-y-2-z-2-r-2-F-x-y-z-yze-1-xe-2-xye-3-Find-flux-F-n-dS-

Question Number 198802 by MathedUp last updated on 24/Oct/23

radius r circle; x^{2} + y^{2} + z^{2} = r^{2}

\hat{F} (x, y, z) = y z {\hat{e}}_{1} + x {\hat{e}}_{2} - x y {\hat{e}}_{3}

Find flux ρ = \int \int_{Σ} \hat{F} \cdot \hat{n} d S

Answered by witcher3 last updated on 25/Oct/23

ϱ = \int \int_{Σ} F . n ds = \int \int \int_{V} Div (F) . dV

div (F) = \partial_{x} yz + \partial_{y} x + \partial_{z} . (- xy) = 0

\Rightarrow ϱ = \int \int \int 0 . dv = 0

Commented by MathedUp last updated on 25/Oct/23

Wow \dots . . Thx \dots!

hmmm \dots \dots Flux \int \int_{Σ} \hat{F} \cdot \hat{n} dS = 0 \dots .

how do I interpret the Flux = 0 ? ? ? ?

Sadly \dots . i^{'} m not physics student \dots .

so I {don}^{'} t Know that much How should

I interpret it If We give meaning mathematically

not Just Calculating \dots

{IT}^{'} S DILEMMA \dots

o h \dots a n d i r e c e n t l y p l a y e d w i t c h e r 3

i t w a s r e a l l y f u n G . O . A . T

Commented by witcher3 last updated on 25/Oct/23

flux = 0 \Leftrightarrow inside = outside

Commented by witcher3 last updated on 25/Oct/23

Witcher 3 is Good

1 Witcher 3 2 Elden Ring 3 red dead Redemption

is my toop and You \int ?

Commented by MathedUp last updated on 26/Oct/23

1 . Undertale .

2 . Spelunky series .

3 . Elden ring 3

: ⟩

Commented by witcher3 last updated on 26/Oct/23

iknow just elden Ring

iknow just elden Ring