Consider an infinitely long wire carrying a current I(t), with . Find the current produced in the rectangular loop of wire ABCD if its resistance is R (Fig. 6.13).
XY is infinitely long wire carrying I(t) such that
at a distance r from the wire strength of the magnetic field
it is direction is outward of the paper total magnetic flux linked with the rectangular loop
on integrating and applying the limit we get
Where L is the self-inductance of the loop
INDUCED CURRENT