Magnetic Field due to a Current-Carrying Conductor: Biot-Savart's Law

Give the defining vector equation of magnetic field $\stackrel{\rightharpoonup }{\mathrm{B}}$ in terms of the force $\stackrel{\rightharpoonup }{\mathrm{F}}$ acting on a charge $\mathrm{q}$ moving in the field with a velocity $\stackrel{\rightharpoonup }{\mathrm{v}}$. Using this equation, express the SI unit of $\stackrel{\rightharpoonup }{\mathrm{B}}$ in terms of the fundamental (base) SI units.

Using Ampere’s circuital law, obtain an expression for the magnetic flux density ‘B’ at a point X at a perpendicular distance r from a long current-carrying conductor.    

State Biot-Savart’s law for the magnetic field due to a current-carrying element, explaining the symbols. Define ‘tesla’ on the basis of this law. How is gauss related to tesla?

State Biot-Savart’s law.

The biot-savart's law in vector form is :