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nOddIE

  • 2 years ago

In the integral \[\int\limits_{V}^{}\rho _{v}dV\] to determine the enclosed charge, can \[\rho _{v}dV\] be changed to \[\rho _{v} \] dot Ads??

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  1. amistre64
    • 2 years ago
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    is this across an x,y,z region?

  2. nOddIE
    • 2 years ago
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    this is in spherical coordinate system...

  3. amistre64
    • 2 years ago
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    ... that one has something like \(\rho~sin^2\) if memory serves

  4. amistre64
    • 2 years ago
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    \[\rho^2~sin(\phi)~ddd\]

  5. nOddIE
    • 2 years ago
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    yes, for us rho is R...

  6. nOddIE
    • 2 years ago
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    but would it be possible then to change the differential volume to area multiplied by the differential length? I was working through a test and it's been done here, but it's the first time that I'm seeing this being done...

  7. amistre64
    • 2 years ago
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    im not up to snuff on sphericals enough to be certain

  8. nOddIE
    • 2 years ago
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    Oky, but thanks anyway.

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