The magnetic field at the origin due to a current element I `(vec dl ) placed at a positon (vec r) is`

The magnetic field at the origin due to a current element I vec(dl) placed at position r is (i) ((mu_(0)i)/(4pi))((dvec(l)xxvec(r))/(r^(3))) -((mu_(0)i)/(4pi))((dvec(l)xxvec(r))/(r^(3))) (iii) ((mu_(0)i)/(4pi))((vec(r)xxdvec(l))/(r^(3))) -((mu_(0)i)/(4pi))((vec(r)xxdvec(l))/(r^(3)))

The magnetic field at the origin due to a current element I vec(dl) placed at position r is (i) ((mu_(0)i)/(4pi))((dvec(l)xxvec(r))/(r^(3))) -((mu_(0)i)/(4pi))((dvec(l)xxvec(r))/(r^(3))) (iii) ((mu_(0)i)/(4pi))((vec(r)xxdvec(l))/(r^(3))) -((mu_(0)i)/(4pi))((vec(r)xxdvec(l))/(r^(3)))

The magnetic field at the orgini due to a current element vec(idl) placed at a point with vector position vec(r) is

The magnetic field at the origin due to the current flowing in the wire is

The magnetic field at the origin due to the current flowing in the wire is

The magnetic field at the origin due to the current flowing in the wire is

The magnetic field due to a current element is independent of :

The magnetic field bar(dB) due to a small current element bar(dl) at a distance vec(r) and carrying current 'I' is