Solution to task 375 from Chertov´s for extramural stud

Solution to task 375 from Chertov´s for extramural stud

375. The current in the conductor changes with time according to the law I = I0sinωt. Find the charge Q passing through the cross section of the conductor in a time t equal to half the period T, if the initial current strength I0 = 10 A, the cyclic frequency ω = 50πs-1.