- #1

- 10

- 0

- Homework Statement
- Find Io(t) for t>0 of the circuit shown

- Relevant Equations
- I(t) = C x dv/dt

V = Q/C

I did a kvl loop and got V + 5Io - 15 Io = 0

So, V = 10Io

Then, substituted dq/dt for Io and q/c for V

I get to dq/dt - 50000q = 0

solving this equation i get q = C x e^50000q (c for constant)

my Io = dq/dt

so Io now is 50,000Ce^50000q

now my Q(0) is 3 x 10^-5

So my Io (0) should be, 50,000Ce^1.5

.

I don't know how to find the C now or any of the things i did is even correct

I know the answer should be

15e^-25000t for V(t)

0.75e^-25000t for Io(t)