Field lines

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Faraday introduced a way to describe an electric field you can introduce the concept of field line. These are defined as a tangential line to the electric field vectors.

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Construction of field lines

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Field lines are a way of making visible the electric field that arises with different charges. For this, a point is considered in the space \vec{x}_0 and determines the field at that point \vec{E}(\vec{x}_0). As we are only interested in the direction, the field is normalized with the length of the vector

$\displaystyle\frac{\vec{E}(\vec{x}_0)}{\mid\vec{E}(\vec{x}_0)\mid}$



With this address a ds step is considered and a new position \vec{x}_1 is calculated by

$\vec{x}_1=\vec{x}_0+\displaystyle\frac{\vec{E}(\vec{x}_0)}{\mid\vec{E}(\vec{x}_0)\mid}ds$



what is shown in the following graph:

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Two equal charges of different sign

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Electric Field Lines of a Load

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Two equal charges of equal sign

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Electric field of two equal charges

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Two different charges of different sign

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Two-Load Electric Field

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