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?

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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?

### Problem 12

An \(LRC\)-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 \(q(t)\):
Transcribed Image Text:### Problem 12 An \(LRC\)-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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