Magnetostatics

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Ampère's Circuital Law

Also known as Ampère's Law with Maxwell's Correction,

  or

   , where:

 = Curl Operator

B = Magnetic B-Field (T)

Biot-Savart Law

Magnetic field created by a current:

 , where:

B = Magnetic B-Field (T)

 = Magnetic Constant (H/m), written as mu nought (u0)

 = Pi

I = Current (A)

Biot-Savart Law for a Point Charge

Given that the point charge is moving significantly below the speed of light:

 , where:

B = Magnetic B-Field (T)

v = Velocity of Point Charge (m/s)

q = Charge (C)

 = Magnetic Constant (H/m), written as mu nought (u0)

Continuity Equation (Electromagnetism)

  , where:

 = Divergence

J = Current Density (A/m2)

 = Charge Density (C/m3)

Electric Constant

Epsilon Naught defines the Electric Constant, also known as the permittivity of free space or the vaccum permittivity,

 , where:

 = Electric Constant (Fa/m)

 = Magnetic Constant (H/m)

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