.. _sphx_glr_api_gallery_electrical_engineering_transients:

Transients
----------

First-order charging and the RC time constant.


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  <div id='sg-tag-list' class='sphx-glr-tag-list'></div>


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    <div class="sphx-glr-thumbnails">

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    <div class="sphx-glr-thumbcontainer" tooltip="Before the first transatlantic cable was laid, William Thomson (later Lord Kelvin) analysed how a signal spreads along a submarine cable. In 1855 he showed that, with negligible inductance, the line obeys a diffusion equation: a pulse arrives smeared over a time proportional to rc\,\ell^2, the resistance and capacitance per unit length times the length squared, the law of squares. The building block is the single RC section, whose voltage rises as 1 - e^{-t/RC} (~engineeringkit.electrical_engineering.rc_charging_voltage). This example checks the time constant of one section, then chains sections into a cable and confirms the law of squares.">

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  .. image:: /api/gallery/electrical_engineering/transients/images/thumb/sphx_glr_plot_01_kelvin_rc_cable_thumb.png
    :alt:

  :doc:`/api/gallery/electrical_engineering/transients/plot_01_kelvin_rc_cable`

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      <div class="sphx-glr-thumbnail-title">Kelvin's telegraph cable and the RC time constant (1855)</div>
    </div>


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    </div>


.. toctree::
   :hidden:

   /api/gallery/electrical_engineering/transients/plot_01_kelvin_rc_cable