Direction of Line of Electric Force
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Theorem
Let $\mathbf E$ be an electric field.
Let $L$ be a line of force within $\mathbf E$.
Then $L$ has one of the following properties:
- $(1): \quad$ Begins on a positively charged body and ends on a negatively charged body
- $(2): \quad$ Begins on a positively charged body and goes to infinity without terminating
- $(3): \quad$ Comes from infinity without a start point and ends on a negatively charged body.
Proof
This theorem requires a proof. In particular: Not sure if this is something you can prove or whether it's a physical law. Grant and Phillips state it without elaboration. You can help $\mathsf{Pr} \infty \mathsf{fWiki}$ by crafting such a proof. To discuss this page in more detail, feel free to use the talk page. When this work has been completed, you may remove this instance of {{ProofWanted}} from the code.If you would welcome a second opinion as to whether your work is correct, add a call to {{Proofread}} the page. |
Sources
- 1990: I.S. Grant and W.R. Phillips: Electromagnetism (2nd ed.) ... (previous) ... (next): Chapter $1$: Force and energy in electrostatics: $1.2$ The Electric Field