3. Applications of Biot Savart Law

Force on a moving charge in a uniform magnetic field If a charge \( q \) moves with a velocity \(v\) in a zone of uniform magnetic field \(\vec{B}\), it experiences a force given by:\[ \vec{F_B} = q \vec{v} \times \vec{B} \] \[ \vec {F_B} = q \ v\ B \sin \theta \ \hat n\]…

Force between Two Parallel Current-Carrying Wires Consider two parallel wires, \( a \) and \( b \). A current \( I_a \) passes through wire \( a \) and a current \( I_b \) passes through wire \( b \). The distance between them is \( d \). The current \( I_a \) creates a…

How much force a uniform magnetic field applies on a current carrying conductor Magnetic force on a current-carrying conductor Let a current \( I \) flow in a conductor having cross-sectional area \( A \). The number density of mobile charge carriers (electrons) is \( n \) and their drift velocity is \(\vec {v_d} \)….