A rectangular loop of wire ABCD is kept close to an infinitely long wire carrying a current for 0 ≤ t ≤ T and I (0) = 0 for t > T (Fig. 6.14). Find the total charge passing through a given point in the loop, in time T. The resistance of the loop is R.

Question

A rectangular loop of wire ABCD is kept close to an infinitely long wire carrying a current

for 0 ≤ t ≤ T and I (0) = 0 for t > T (Fig. 6.14). Find the total charge passing through a given point in the loop, in time T. The resistance of the loop is R.

Philoid · Accepted Answer

in the figure XY is an infinitely long wire carrying current for 0≤t≤T

If I(t) is current induced in the loop then

integrating on both side we get

the magnitude of change would be