3.1.2 Laplace's Equation in 1D

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Laplace's Equation in one dimension is rather trivial, but two rules will help us better understand what it looks like in 2 and 3 dimensions.

  1. Real Physics
  2. physics
  3. Laplace's Equation
  4. electrostatics
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Комментарии
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These videos are awesome man. I'm taking this class now and this has definitely helped.

GLXLR
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I should've said, "The actual value for b is left as an exercise for the viewer."

jg
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That's a GREAT question and the answer is that sin(ax) is not a solution in 1D. The reason is quite simple. Laplace's equation says that the 2nd derivative has to be 0 everywhere. The 2nd derivative of sin is not 0 everywhere. In 2 and 3 dimensions, the SUM of the 2nd derivatives have to be zero everywhere, and so you can have solutions like sin and e as long a the 2nd derivatives cancel each other out at all points.

jg
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Sir i didnt get that average part 1st point you have written ca you explain please?

josephksajan
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Doubt: If the first derivative is 0 how is there a value of the second derivative??

ayushkharwar
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You know whats best about you?
You dont just read the words of griffiths book like all the other so called teachers online. You explain it in simple words

info-hub
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U r just reading out the book...stop it

AnilKumar-byzi