# Felici's law

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Felici's law

In physics, Felici's law allows you to calculate the net charge through a circuit configuration in which there's a current induced by a variable magnetic field (for example a conductor coil immersed in a variable magnetic field). With this law it's possible to calculate net charge in a period using initial and final flux.

$q\left(t\right) = \left\{1 over mathrm\left\{R \left[Phi_a\left(t\right) - Phi_b\left(t\right)\right]$

Demonstration

$q\left(t\right) = int_a^b i\left(t\right)dt = \left\{1 over mathrm\left\{Rint_a^b \left\{varepsilon\right\}\left(t\right)dt = \left\{1 over mathrm\left\{R \left[Phi_a\left(t\right) - Phi_b\left(t\right)\right]$

Remember that $\left\{varepsilon\right\}\left(t\right)=- \left\{dPhi\left(t\right) over dt\right\}$

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