.. DO NOT EDIT.
.. THIS FILE WAS AUTOMATICALLY GENERATED BY SPHINX-GALLERY.
.. TO MAKE CHANGES, EDIT THE SOURCE PYTHON FILE:
.. "api/gallery/electrical_engineering/plot_electrical_engineering_benchmark.py"
.. LINE NUMBERS ARE GIVEN BELOW.

.. only:: html

    .. note::
        :class: sphx-glr-download-link-note

        :ref:`Go to the end <sphx_glr_download_api_gallery_electrical_engineering_plot_electrical_engineering_benchmark.py>`
        to download the full example code or to run this example in your browser via JupyterLite.

.. rst-class:: sphx-glr-example-title

.. _sphx_glr_api_gallery_electrical_engineering_plot_electrical_engineering_benchmark.py:


RC charge and energy accounting
===============================

Charging an initially empty ideal capacitor from a constant voltage source
dissipates half the eventual source energy in the resistor. Numerical integration
checks energy conservation over a finite time interval.

.. GENERATED FROM PYTHON SOURCE LINES 9-32



.. image-sg:: /api/gallery/electrical_engineering/images/sphx_glr_plot_electrical_engineering_benchmark_001.png
   :alt: plot electrical engineering benchmark
   :srcset: /api/gallery/electrical_engineering/images/sphx_glr_plot_electrical_engineering_benchmark_001.png
   :class: sphx-glr-single-img





.. code-block:: Python


    import matplotlib.pyplot as plt
    import numpy as np
    from scipy.integrate import trapezoid

    from engineeringkit.electrical_engineering import rc_charging_voltage, rc_time_constant

    R, C, Vs = 1000, 1e-6, 5
    tau = rc_time_constant(R, C)
    t = np.linspace(0, 10 * tau, 10001)
    v = rc_charging_voltage(Vs, R, C, t)
    i = (Vs - v) / R
    source = trapezoid(Vs * i, t)
    loss = trapezoid(R * i**2, t)
    stored = 0.5 * C * v[-1] ** 2
    assert np.isclose(source, loss + stored, rtol=1e-6)
    assert np.isclose(rc_charging_voltage(Vs, R, C, tau), Vs * (1 - np.exp(-1)))
    fig, ax = plt.subplots()
    ax.plot(t / tau, v, label="capacitor voltage")
    ax.set(xlabel="time / RC", ylabel="voltage [V]")
    ax.legend()

    plt.show()


.. rst-class:: sphx-glr-timing

   **Total running time of the script:** (0 minutes 0.063 seconds)


.. _sphx_glr_download_api_gallery_electrical_engineering_plot_electrical_engineering_benchmark.py:

.. only:: html

  .. container:: sphx-glr-footer sphx-glr-footer-example

    .. container:: lite-badge

      .. image:: images/jupyterlite_badge_logo.svg
        :target: ../../../lite/lab/index.html?path=api/gallery/electrical_engineering/plot_electrical_engineering_benchmark.ipynb
        :alt: Launch JupyterLite
        :width: 150 px

    .. container:: sphx-glr-download sphx-glr-download-jupyter

      :download:`Download Jupyter notebook: plot_electrical_engineering_benchmark.ipynb <plot_electrical_engineering_benchmark.ipynb>`

    .. container:: sphx-glr-download sphx-glr-download-python

      :download:`Download Python source code: plot_electrical_engineering_benchmark.py <plot_electrical_engineering_benchmark.py>`

    .. container:: sphx-glr-download sphx-glr-download-zip

      :download:`Download zipped: plot_electrical_engineering_benchmark.zip <plot_electrical_engineering_benchmark.zip>`


.. only:: html

 .. rst-class:: sphx-glr-signature

    `Gallery generated by Sphinx-Gallery <https://sphinx-gallery.github.io>`_