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# Use Laplace Transforms for everything in this problem. An RLC circuit connected in series has R = 10 W, C = 0.01 F and L = 1/ 2 H . A battery e = 12...

Use Laplace Transforms for everything in this problem.
An RLC circuit connected in series has R = 10 W, C = 0.01 F and L = 1/ 2 H . A battery e = 12 V is applied at
time t=0. Assume no initial current and no initial charge at t=0.
a. Find the charge q(t). You will need partial fractions.
b. This part is identical to the question from the previous review set. Starting from scratch, find current i(t).
Do this without differentiating q(t); in other words, use only Laplace Transforms to figure this out.
Hint: this can be done VERY fast - much faster than part (a).

Dear student here... View the full answer

Solution:
a) We will write the equation in terms of charge:
Taking Laplace transform:
Putting values Taking laplace inverse:
b) We will write the equation in terms of current:
Taking Laplace...

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