Electromotive force induced in moving contour¶
The Faraday’s law states that the electromotive force around a closed path is equal to the negative of the time rate of change of the magnetic flux enclosed by the path. In case of the current making several turns around the contour, e.g. in a coil, the electromotive force would also be proportional to the number of turn the current makes.
Links:
- electromotive_force¶
electromotive_force
induced in the contour.- Symbol:
E
- Latex:
\(\mathcal{E}\)
- Dimension:
voltage
- current_turn_count¶
Number of turns the current makes around the contour. See
positive_number
.- Symbol:
N
- Latex:
\(N\)
- Dimension:
dimensionless
- magnetic_flux¶
magnetic_flux
through the contour.- Symbol:
Phi_B(t)
- Latex:
\(\Phi_\mathbf{B}{\left(t \right)}\)
- Dimension:
magnetic_flux
- law¶
E = -N * Derivative(Phi_B(t), t)
- Latex:
- \[\mathcal{E} = - N \frac{d}{d t} \Phi_\mathbf{B}{\left(t \right)}\]