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3 questions
1
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3
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Where to apply $\nabla$ operator when taking curl of a cross product?
In my EM class we went over $$\nabla\times \frac{\vec{d}\times \vec{r}}{r^3}$$ which apparently can be breaken down to $$r(d\cdot \nabla)\frac{1}{r^3}-d(r\cdot\nabla)\frac{1}{r^3}+\frac{\nabla\times(d\...
5
votes
3
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407
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Vector addition for differentials in the context of electric potential
Recently, my professor drew the following diagrams to explain $\vec{ds}$ (in the context of electric potential, where $$V=-\int\vec{E}\cdot\vec{ds}$$
He showed us the following diagrams and ...
-1
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3
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69
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Vector question, differentials, Electromagnetism
I was reading this demonstration of electric potential in my book:
Let $q$ be a point charge at point $P$
The Electric field created at point $M$ by $q$ is :
$$\vec{E}(M) = \...