The charge q on a capacitor in an inductive circuit is given by the differential equation and

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The charge q on a capacitor in an inductive circuit is given by the differential equation

dq dt dq +300- dt + 2 x 10q = 200 sin 100t

and it is also known that both q and dq/dt are zero when t = 0. Use the Laplace transform method to find q. What is the phase difference between the steady state component of the current dq/dt and the applied emf 200 sin 100t to the nearest half-degree?

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