What is magnetic induction

Electromagnetic induction

The magnetic flux \ (\ Phi \) is, loosely, the measure of the "amount of magnetic field that flows through the conductor loop in an induction arrangement".

The magnetic flux \ (\ Phi \) is defined as the product of the field strength \ (B \) of the homogeneous magnetic field in which parts or the entire conductor loop is located, the area \ (A \) of the (partial) surface the conductor loop located in the magnetic field and the cosine of the width \ (\ varphi \) of the angle between the field strength vector \ (\ vec B \) and the area vector \ (\ vec A \): \ [\ Phi = B \ cdot A \ cdot \ cos \ left (\ varphi \ right) \ quad (1) \] With knowledge of the so-called scalar product from analytical geometry, one can also write \ [\ Phi = \ vec B \ cdot \ vec A \ quad more easily (1 ^ *) \]

 size Surname symbol definition magnetic river \ (\ Phi \) \ (\ Phi = B \ cdot A \ cdot \ cos \ left (\ varphi \ right) \) unit Surname symbol definition Weber \ (\ rm {Wb} \) \ (1 \, \ rm {Wb} = 1 \, \ rm {T} \, \ rm {m} ^ 2 = 1 \, \ rm {V} \, \ rm {s} \)

The magnetic flux \ (\ Phi \) is a scalar quantity.

Equation \ ((1) \) explains what you can imagine by a magnetic flux of \ (1 \, \ rm {Wb} \): In an induction arrangement there is a magnetic flux of \ (1 \, \ rm {Wb} \), if in a homogeneous magnetic field of field strength \ (1 \, \ rm {T} \) a conductor loop with \ (1 \, \ rm {m} ^ 2 \) area is perpendicular to the magnetic field strength vector.

If one wants to express in short notation that the unit of the magnetic flux is \ (1 \, \ rm {Wb} \), one can write \ ([\ Phi] = 1 \, \ rm {Wb} \).