A rectangular loop of wire ABCD is kept close to an infinitely long wire carrying a current for
and
. Find the total charge passing through a given point in the loop, in time T. The resistance of the loop is R.
According to the problem electric current is given as a function of time.
Integrating the variable separately in the form of the differential equation for finding the charge Q that passed in time t, we have
[Refer to the Eq. (i) of answer no.25]
Therefore the magnitude of the charge is
Now