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Physics 18 Online
OpenStudy (z4k4r1y4):

Electric flux question

OpenStudy (z4k4r1y4):

OpenStudy (z4k4r1y4):

I calculated the total flux as -780.33 then multiplied it by epsilon naught.

OpenStudy (michele_laino):

here we have to apply this formula: \[\Phi \left( {\mathbf{E}} \right) = \frac{q}{{{\varepsilon _0}}}\]

OpenStudy (z4k4r1y4):

The two different electric fields are what confuse me.

OpenStudy (michele_laino):

Now, the requested flux at the left side, is: \[\Phi \left( {\mathbf{E}} \right) = - \left( {36 + 21} \right) \cdot {3.7^2} = - 780.33\frac{{N{m^2}}}{C}\]

OpenStudy (michele_laino):

the situation is this: |dw:1445702950895:dw|

OpenStudy (michele_laino):

as we can see we have two negative terms

OpenStudy (z4k4r1y4):

I understand

OpenStudy (michele_laino):

now, the requested charge is: \[q = {\varepsilon _0} \cdot \Phi \left( {\mathbf{E}} \right) = 8.85 \cdot {10^{ - 12}} \cdot \left( { - 780.33} \right) = ...?\]

OpenStudy (z4k4r1y4):

-6.91e-9 C

OpenStudy (michele_laino):

yes!

OpenStudy (michele_laino):

I think it is the right result

OpenStudy (z4k4r1y4):

thank you so much! really appreciate it

OpenStudy (michele_laino):

:)

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