00:01
Hello students, from the question v of t for t greater than or equal to 0, we have to find out the v value by using the equation v is equals to e to the power of minus alpha t into cos a cos omega d t plus b sin omega d t.
00:31
From this we are going to first apply all the values e minus 800 t a cos 600 t plus b sin 600 at t is equals to 0, we can consider v of 0 is equals to a that is v naught is equals to 30 volt.
01:07
From this we can substitute here.
01:10
So, the a value will be a is equals to 30 v.
01:16
Now, we are going to apply kirchhoff's current law at top node.
01:29
From this we get the equation i c plus i l plus i r equals to 0.
01:38
From this we can write i c into 0 plus i l 0 plus i r into 0 is equals to 0.
01:52
I c plus i l into 0 plus v naught by by r is equals to 0.
02:04
Now, i c into 0 is equals to minus 6 into 10 to the power of minus 3 minus 30 divided by 5 into 10 to the power of 3.
02:17
From this we can find out the i c value is equals to minus 12 into 10 to the power of minus 3.
02:28
The current the current flowing through capacitor current flowing through capacitor that is i c is equals to c dv by d t...