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:

  1. Wikipedia, second formula.

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

time

time.

Symbol:

t

Latex:

\(t\)

Dimension:

time

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:
\[\mathcal{E} = - N \frac{d}{d t} \Phi_\mathbf{B}{\left(t \right)}\]