Moving Charges and Magnetism

The total force on a charge

The total force on a charge q moving with velocity v in combined electric and magnetic fields. The magnetic component is F = q(v × B), which is always

Describes the magnetic field dB produced

Describes the magnetic field dB produced by a current element Idl at a point P located at distance r: dB = (μ₀/4π) × (Idl × r)/r³. The magnitude is dB

States that the line integral

States that the line integral of magnetic field B around a closed loop equals μ₀ times the current enclosed by that loop: ∮B·dl = μ₀I_enclosed. Simpli

A long straight wire carrying current

A long straight wire carrying current I produces a magnetic field at distance r perpendicular to it: B = (μ₀I)/(2πr). Field lines form concentric circ

A circular loop of radius R

A circular loop of radius R carrying current I produces field at axial distance x: B = (μ₀IR²)/(2(x² + R²)^(3/2)). At center (x=0): B = (μ₀I)/(2R). Fi