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In vacuum, the magnetic constant is the ratio of the [[magnetic induction|magnetic '''B'''-field]] (entering the expression for the [[Lorentz force]]

{{r|Magnetic induction}}

...is of length d''S''. The dot stands for the [[inner product]] between the magnetic induction '''B''' and d'''''S'''''. In vacuum the magnetic induction '''B''' is proportional to the magnetic field '''H'''. (In SI units: '''B''

...rough the conducting wire. Two magnetic field lines are shown in blue. The magnetic induction '''B''' is a vector field tangent to field lines. The direction of '''B''' ...[[magnetic permeability]] μ_r then (in [[SI|SI units]]) the [[magnetic induction]] (also often referred to as magnetic field) is,

...e particle, the speed ''v'' of the particle, the intensity ''B'' of the [[magnetic induction]], and the [[sine]] of the angle between the [[vector]]s '''v''' and '''B'' ...e of the particle and '''v''' is its velocity. The vector '''B''' is the [[magnetic induction]]. The product '''v''' × '''B''' is the [[vector product]], also re

...[[Jean-Baptiste Biot]] and [[Felix Savart|Félix Savart]] describes the [[magnetic induction]] '''B''' (proportional to the magnetic field '''H''') caused by a direct e {{Image|Laplace magnetic.png|right|250px|Magnetic induction d'''B''' at point '''r''' due to infinitesimal piece d'''s''' (red) of wir

...the [[polarization]] '''P''', the [[electric displacement]] '''D''', the [[magnetic induction]] '''B''', the [[magnetization]] '''M''' and the [[magnetic field]] '''H''' <tr><td> <td> [[magnetic induction]] <td>...

...role and '''B''' was an auxiliary field, which explains its historic name "magnetic induction". At present the roles have swapped and some authors give '''B''' the name

...nd ''c'' is the speed of light. The vector field '''B''' is known as the [[magnetic induction]]. The direction of integration along ''C'' matches ''i'' in the sense of a

where '''B''' is the [[magnetic flux density]] (also known as magnetic induction), and the symbol '''&nabla;'''&times; stands for the [[curl]] of '''E'''.

...r potential''. A very well-known example of a divergence-free field is a [[magnetic induction|magnetic field]] '''B''', which is divergence-free by virtue of one of [[

...are referred to as "magnetic field". Therefore '''B''' is often called [[magnetic induction]] or magnetic flux density.</ref> The Dutch physicist [[Hendrik Antoon Lore <tr><td>* <small>''[[Faraday's law]] (voltage generated by change in magnetic induction)''</small>

...lows from the [[Biot-Savart's law|Biot-Savart-Laplace]] expression for the magnetic induction '''B'''('''r'''₁) due to a segment of the second loop. Insertio

{{Image|Motor.PNG|right|200px|Electric motor using a current loop in a [[magnetic induction|magnetic flux density]], labeled '''''B'''''}}

...ced an electric field (it is this field which causes the current to flow). Magnetic induction is of extreme importance in modern industrial society, because it is the pr

...ced an electric field (it is this field which causes the current to flow). Magnetic induction is of extreme importance in modern industrial society, because it is the pr

where '''E''' is the [[electric field]] and '''B''' is [[magnetic induction]] (also known magnetic flux density). The quantity ''c'' is the [[speed of

| [[Magnetic flux density]], [[magnetic induction]]

==[[Magnetic induction|Magnetic field (a.k.a. magnetic flux density)]]==