Question

In a circuit, suppose L = 5, R = 25, E(t) = 100cos60t, E(0) = 100, I(0) = 0. Find I(t).

Answer 1

\[I(t) = i_0 * e^{-(\frac{R}{L})t}, t \ge 0\]

Answer 2

I understand that I(t) = Isp(t) + Itr(t). I'm just struggling with finding these two equations.

Answer 3

Are you doing this as an ODE or actually solving the circuit?

Answer 4

I'm interested in solving it using an ODE.

Answer 5

What tools have you developed thus far for solving ODEs?

Answer 6

Looking back through my notes it seems that we assumed a series circuit and used an integrating factor to solve. So I may not have the expertise you need. Perhaps @Callisto or @saifoo.khan can help.