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I'm having troubles understanding whats going on here, with the integration. Here is the integral through the right face of the cube.
I don't know how to insert all the fancey symbols, so here is my key:
S = integral symbol
Flux = electric flux symbol, omega or somthing, a circle with a cross down the middle.
i = vector i in xaxis
j = vector j in yaxis
. means the dot product.
Given: A nonuniform electric feild given by E = 3.0xi + 3.0j pierces the gaussian cube. x = 3.0m.
Flux = S (E).(dA) = S (3.0xi + 4.0j).(dAi)
= S [(3.0x)(dA)i.i + (4.0)(dA)j.i] //whats goin on here? are they just distrubting the dA? Why are they allowed to sperate the vector i from dA?
= S (3.0x dA + 0) = 3.0 S x dA //why is i now 0? wouldn't it be cos(0) = 1? or how do u figure out where the electric feild is pointing with the equation: 3.0xi + 4.0j.
= 3.0 S (3.0)dA = 9.0 S dA.
How do you insert symbolic symbols so my future posts won't looks this messy? Thanks. Picture is attached.
I don't know how to insert all the fancey symbols, so here is my key:
S = integral symbol
Flux = electric flux symbol, omega or somthing, a circle with a cross down the middle.
i = vector i in xaxis
j = vector j in yaxis
. means the dot product.
Given: A nonuniform electric feild given by E = 3.0xi + 3.0j pierces the gaussian cube. x = 3.0m.
Flux = S (E).(dA) = S (3.0xi + 4.0j).(dAi)
= S [(3.0x)(dA)i.i + (4.0)(dA)j.i] //whats goin on here? are they just distrubting the dA? Why are they allowed to sperate the vector i from dA?
= S (3.0x dA + 0) = 3.0 S x dA //why is i now 0? wouldn't it be cos(0) = 1? or how do u figure out where the electric feild is pointing with the equation: 3.0xi + 4.0j.
= 3.0 S (3.0)dA = 9.0 S dA.
How do you insert symbolic symbols so my future posts won't looks this messy? Thanks. Picture is attached.
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