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



Sources