Suppose that the flux of a smooth vector field $\vec { F}$ out of a sphere of radius r centered at the origin is $a r + b r ^ { 2 }$ where a and b are constants.If $ { \vec { F } } = \operatorname { Curl } { \vec { G } }$ for a smooth vector field $\vec { G } ,$ find the values of a and b.

Question

Suppose that the flux of a smooth vector field $\vec { F}$ out of a sphere of radius r centered at the origin is $a r + b r ^ { 2 }$ where a and b are constants.If $  { \vec { F } } = \operatorname { Curl }  { \vec { G } }$ for a smooth vector field $\vec { G } ,$ find the values of a and b.

Quizplus · Accepted Answer

The Answer of Suppose that the flux of a smooth vector field $\vec { F}$ out of a sphere of radius r centered at the origin is $a r + b r ^ { 2 }$ where a and b are constants.If $  { \vec { F } } = \operatorname { Curl }  { \vec { G } }$ for a smooth vector field $\vec { G } ,$ find the values of a and b.

Suppose That the Flux of a Smooth Vector Field F⃗\vec { F}F

Suppose That the Flux of a Smooth Vector Field $\vec { F}$