Circuits
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Capacitor
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Capacitance is defined as
.. math::
C = \frac{dQ}{dV}.
Since current is defined as :math:`I = \frac{dQ}{dt}`, we derive the current and potential relation for capacitor
.. math::
&C dV = dQ \\
\Rightarrow &C \frac{dV}{dt} = \frac{dQ}{dt} \\
\Rightarrow & C \frac{dV}{dt} = I.
Inductor
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Inductor is defined as
.. math::
L = \frac{d\Phi}{dI},
where :math:`\Phi` is the magnetic flux of the inductor and :math:`I` is the current going through the inductor.
Refs & Notes
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