Curl of electric field is negative magnetic flux density derivative

Faraday’s law of induction states that a change in magnetic flux density generates a rotational electric field. This law is valid for any magnetic field that changes over time.

Links:

1. Wikipedia, fourth line in table.

2. Physics LibreTexts, formula 15.7.1.

time

time.

Symbol:

t

Latex:

\(t\)

Dimension:

time

position_vector

Position vector of a point in space. See distance_to_origin.

Symbol:

r

Latex:

\({\vec r}\)

Dimension:

length

electric_field

Vector of the electric field as a function of position_vector and time. See electric_field_strength.

Symbol:

E(r, t)

Latex:

\({\vec E} \left( {\vec r}, t \right)\)

Dimension:

voltage/length

magnetic_flux_density

Vector of the magnetic_flux_density field as a function of of position_vector and time.

Symbol:

B(r, t)

Latex:

\({\vec B} \left( {\vec r}, t \right)\)

Dimension:

magnetic_density

law

curl(E(r, t)) = -Derivative(B(r, t), t)

Latex:

\[\text{curl} \, {\vec E} \left( {\vec r}, t \right) = - \frac{\partial}{\partial t} {\vec B} \left( {\vec r}, t \right)\]