00:01
Hello in this question we have to find the charge and current if it is known that t and i at zero here.
00:06
So as in this question, e is equals to 200 and v is equals to 1 ,000 and c equals to 5 into 10 as to the power minus 6 here.
00:16
So as if this one is our diagram as here is plotted e and as here is resistance r here and here is capacitor c here.
00:25
So as this one is c and this one is r here.
00:28
So as we know that the kirchhoff's law, ir plus q by c is equals to e t here.
00:35
So as we know that i is equals to c -ins, i is equals to d -q divided by d -t here.
00:40
So by substituting value d -q by d -t into r plus of q by c is equals to e at t here.
00:46
So by simplifying this q -dash into 1 ,000 plus 1 by 5 into 10 -dast -to -the -power minus 6 into q equals to 200 here.
00:55
So the first separation here by the first separation of ordinary differential equation is n y of d y is equal to m of x d of x here.
01:04
So q dash is equals to here minus of 100, 200 minus of 200 q into plus of point two here...