Felici's law
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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(t) = {1 \over \mathrm{R}} [\Phi_a(t) - \Phi_b(t)]](../../../../math/0/4/d/04d413f56487e475db28667d220ea437.png)
[edit] Demonstration
![q(t) = \int_a^b i(t)dt = {1 \over \mathrm{R}}\int_a^b {\varepsilon}(t)dt = {1 \over \mathrm{R}} [\Phi_a(t) - \Phi_b(t)]](../../../../math/2/e/4/2e455b7120fed09864e65de4f2a9f75a.png)
Remember that 
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