An LRC-series circuit has the following parameters L = 1/2 h, R = 30,C = 1/1700 f. Find the charge q = q(t) on the capacitor if E(t) = 170V , q(0) = 5.1 C and q0(0) = 0. Please find q(t) by using the Laplace transformation.What is the steady-state current of this circuit? ### Problem 12An \(LRC\)-series circuit has the following parameters:- \(L = 1/2\, h\)- \(R = 30\, \Omega\)- \(C = \frac{1}{1700}\, f\)Find the charge \(q = q(t)\) on the capacitor if \(E(t) \equiv 170\, V\), \(q(0) = 5.1\, C\) and \(q'(0) = 0\).Please use **two ways** to find \(q(t)\):

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An LRC-series circuit has the following parameters L = 1/2 h, R = 30, C = 1/1700 f. Find the charge q = q(t) on the capacitor if E(t) = 170V , q(0) = 5.1 C and q0(0) = 0. Please find q(t) by using the Laplace transformation. What is the steady-state current of this circuit?