Position 1, after a `long time': A

Position 2: ()

We apply emf, and consider the sum of the potential difference across elements.

In position 2, there is no emf.

Finding Laplace Transform:

Multiplying by :

Solving for I and completing the square on the denominator gives us:

So the transient current is:

We could transform the trigonometric part of this to a single expression:

2 cos 222.2t − 0.45 sin 222.2t = R cos(222.2t + α)

So