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Mathematics 14 Online
OpenStudy (anonymous):

can i get a little help with divergence diagrams?

OpenStudy (anonymous):

OpenStudy (anonymous):

@ganeshie8, can you help?

ganeshie8 (ganeshie8):

how many times u can try ?

OpenStudy (anonymous):

4 attempts

ganeshie8 (ganeshie8):

ok try this : 0, negative, 0

OpenStudy (anonymous):

no. not sure which is right and which is wrong though

ganeshie8 (ganeshie8):

try this 0, negative, positive

OpenStudy (anonymous):

The middle one is definitely negative as it's moving toward the origin. The first one and third one can't be 0 as it's not in the same direction?

ganeshie8 (ganeshie8):

they are asking for divergence at a point, not the divergence of entire field hmm

OpenStudy (anonymous):

0, -,+ worked. why?

OpenStudy (anonymous):

That makes sense

ganeshie8 (ganeshie8):

create a sphere around P in first diagram

ganeshie8 (ganeshie8):

*circle i guess since we are in 2D

ganeshie8 (ganeshie8):

the fluid is entering from left side and leaving out from the right side

ganeshie8 (ganeshie8):

notice that the amount of fluid entering is SAME as the amount leaving because the magnitude of vector is not changing as you move from left to right

OpenStudy (anonymous):

ok, so it's balanced. so it's 0

ganeshie8 (ganeshie8):

yes use the same trick for others

ganeshie8 (ganeshie8):

|dw:1416985750483:dw|

OpenStudy (anonymous):

ok. thanks.

ganeshie8 (ganeshie8):

for the point in second vector field, more fluid is entering in compared to the amount leaving

ganeshie8 (ganeshie8):

that means the point is acting as a "sink" sucking in some of the fluid that entered in

ganeshie8 (ganeshie8):

the opposite is true for the point in 3rd diagram

OpenStudy (anonymous):

ok. makes sense.

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